@article {MR3484299,
AUTHOR = {Bhargava, Manjul and Cremona, John and Fisher, Tom},
TITLE = {The proportion of plane cubic curves over {$\Bbb Q$} that
everywhere locally have a point},
JOURNAL = {Int. J. Number Theory},
FJOURNAL = {International Journal of Number Theory},
VOLUME = {12},
YEAR = {2016},
NUMBER = {4},
PAGES = {1077--1092},
ISSN = {1793-0421},
MRCLASS = {11G07 (11G05)},
MRNUMBER = {3484299},
MRREVIEWER = {Joseph H. Silverman},
URL = {https://0-doi-org.pugwash.lib.warwick.ac.uk/10.1142/S1793042116500664},
}
@article {MR3579716,
AUTHOR = {Cremona, John},
TITLE = {The {L}-functions and modular forms database project},
JOURNAL = {Found. Comput. Math.},
FJOURNAL = {Foundations of Computational Mathematics. The Journal of the
Society for the Foundations of Computational Mathematics},
VOLUME = {16},
YEAR = {2016},
NUMBER = {6},
PAGES = {1541--1553},
ISSN = {1615-3375},
MRCLASS = {11M06 (01A60 11-04)},
MRNUMBER = {3579716},
MRREVIEWER = {Steven Joel Miller},
URL = {https://0-doi-org.pugwash.lib.warwick.ac.uk/10.1007/s10208-016-9306-z},
}
@article {MR3544620,
AUTHOR = {Bhargava, Manjul and Cremona, John E. and Fisher, Tom and
Jones, Nick G. and Keating, Jonathan P.},
TITLE = {What is the probability that a random integral quadratic form
in {$n$} variables has an integral zero?},
JOURNAL = {Int. Math. Res. Not. IMRN},
FJOURNAL = {International Mathematics Research Notices. IMRN},
YEAR = {2016},
NUMBER = {12},
PAGES = {3828--3848},
ISSN = {1073-7928},
MRCLASS = {11E12 (11E08 11E20 11N45 60B20)},
MRNUMBER = {3544620},
MRREVIEWER = {Detlev W. Hoffmann},
URL = {https://0-doi-org.pugwash.lib.warwick.ac.uk/10.1093/imrn/rnv251},
}
@incollection {MR3381450,
AUTHOR = {Cremona, J. E. and Aran\'es, M. T.},
TITLE = {Congruence subgroups, cusps and {M}anin symbols over number
fields},
BOOKTITLE = {Computations with modular forms},
SERIES = {Contrib. Math. Comput. Sci.},
VOLUME = {6},
PAGES = {109--127},
PUBLISHER = {Springer, Cham},
YEAR = {2014},
MRCLASS = {11F55},
MRNUMBER = {3381450},
MRREVIEWER = {Francesc Castell\`a},
URL = {https://0-doi-org.pugwash.lib.warwick.ac.uk/10.1007/978-3-319-03847-6_4},
}
@article {MR3045217,
AUTHOR = {Cremona, John E. and Thongjunthug, Thotsaphon},
TITLE = {The complex {AGM}, periods of elliptic curves over {$\Bbb{C}$}
and complex elliptic logarithms},
JOURNAL = {J. Number Theory},
FJOURNAL = {Journal of Number Theory},
VOLUME = {133},
YEAR = {2013},
NUMBER = {8},
PAGES = {2813--2841},
ISSN = {0022-314X},
MRCLASS = {11G05 (11Y40)},
MRNUMBER = {3045217},
MRREVIEWER = {Andrei Mart\'\i nez Finkelshtein},
URL = {https://0-doi-org.pugwash.lib.warwick.ac.uk/10.1016/j.jnt.2013.02.002},
}
@article {MR3290968,
AUTHOR = {Cremona, J. E. and Fisher, T. A. and O'Neil, C. and Simon, D.
and Stoll, M.},
TITLE = {Explicit {$n$}-descent on elliptic curves {III}. {A}lgorithms},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {84},
YEAR = {2015},
NUMBER = {292},
PAGES = {895--922},
ISSN = {0025-5718},
MRCLASS = {11G05 (14G25 14H52)},
MRNUMBER = {3290968},
DOI = {10.1090/S0025-5718-2014-02858-5},
URL = {http://0-dx.doi.org.pugwash.lib.warwick.ac.uk/10.1090/S0025-5718-2014-02858-5},
}
@article {MR3263141,
AUTHOR = {Banwait, Barinder S. and Cremona, John E.},
TITLE = {Tetrahedral elliptic curves and the local-global principle for
isogenies},
JOURNAL = {Algebra Number Theory},
FJOURNAL = {Algebra \& Number Theory},
VOLUME = {8},
YEAR = {2014},
NUMBER = {5},
PAGES = {1201--1229},
ISSN = {1937-0652},
MRCLASS = {11G05 (11G18 14K15)},
MRNUMBER = {3263141},
DOI = {10.2140/ant.2014.8.1201},
URL = {http://0-dx.doi.org.pugwash.lib.warwick.ac.uk/10.2140/ant.2014.8.1201},
}
@article {MR3045217,
AUTHOR = {Cremona, John E. and Thongjunthug, Thotsaphon},
TITLE = {The complex {AGM}, periods of elliptic curves over {$\Bbb{C}$}
and complex elliptic logarithms},
JOURNAL = {J. Number Theory},
FJOURNAL = {Journal of Number Theory},
VOLUME = {133},
YEAR = {2013},
NUMBER = {8},
PAGES = {2813--2841},
ISSN = {0022-314X},
MRCLASS = {11G05 (11Y40)},
MRNUMBER = {3045217},
MRREVIEWER = {Andrei Mart{\'{\i}}nez Finkelshtein},
DOI = {10.1016/j.jnt.2013.02.002},
URL = {http://0-dx.doi.org.pugwash.lib.warwick.ac.uk/10.1016/j.jnt.2013.02.002},
}
@article {MR2769066,
AUTHOR = {Cremona, John E. and Sutherland, Andrew V.},
TITLE = {On a theorem of {M}estre and {S}choof},
JOURNAL = {J. Th\'eor. Nombres Bordeaux},
FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
VOLUME = {22},
YEAR = {2010},
NUMBER = {2},
PAGES = {353--358},
ISSN = {1246-7405},
MRCLASS = {11G20},
MRNUMBER = {2769066 (2012f:11116)},
MRREVIEWER = {David Y. Jao},
URL = {http://0-jtnb.cedram.org.pugwash.lib.warwick.ac.uk/item?id=JTNB_2010__22_2_353_0},
}
@article {MR2728489,
AUTHOR = {Cremona, John E. and Fisher, Tom A. and Stoll, Michael},
TITLE = {Minimisation and reduction of 2-, 3- and 4-coverings of
elliptic curves},
JOURNAL = {Algebra Number Theory},
FJOURNAL = {Algebra \& Number Theory},
VOLUME = {4},
YEAR = {2010},
NUMBER = {6},
PAGES = {763--820},
ISSN = {1937-0652},
MRCLASS = {14G25 (14H52)},
MRNUMBER = {2728489},
DOI = {10.2140/ant.2010.4.763},
URL = {http://dx.doi.org/10.2140/ant.2010.4.763},
}
@article {MR2658419,
AUTHOR = {Cremona, J. E. and Edjvet, M.},
TITLE = {Cyclically presented groups and resultants},
JOURNAL = {Internat. J. Algebra Comput.},
FJOURNAL = {International Journal of Algebra and Computation},
VOLUME = {20},
YEAR = {2010},
NUMBER = {3},
PAGES = {417--435},
ISSN = {0218-1967},
MRCLASS = {20F05},
MRNUMBER = {2658419},
DOI = {10.1142/S0218196710005777},
URL = {http://dx.doi.org/10.1142/S0218196710005777},
}
@article {MR2544143,
AUTHOR = {Cremona, J. E. and Fisher, T. A. and O'Neil, C. and Simon, D.
and Stoll, M.},
TITLE = {Explicit {$n$}-descent on elliptic curves. {II}. {G}eometry},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {632},
YEAR = {2009},
PAGES = {63--84},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {11G05 (11R34 11Y50 14G25)},
MRNUMBER = {2544143},
DOI = {10.1515/CRELLE.2009.050},
URL = {http://dx.doi.org/10.1515/CRELLE.2009.050},
}
@article {MR2509048,
AUTHOR = {Cremona, J. E. and Fisher, T. A.},
TITLE = {On the equivalence of binary quartics},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {44},
YEAR = {2009},
NUMBER = {6},
PAGES = {673--682},
ISSN = {0747-7171},
MRCLASS = {11E76 (11G05)},
MRNUMBER = {2509048 (2010c:11049)},
MRREVIEWER = {Konstantinos Draziotis},
DOI = {10.1016/j.jsc.2008.09.004},
URL = {http://dx.doi.org/10.1016/j.jsc.2008.09.004},
}
@incollection {MR2467842,
AUTHOR = {Cremona, J. E.},
TITLE = {Computing in component groups of elliptic curves},
BOOKTITLE = {Algorithmic number theory},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {5011},
PAGES = {118--124},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2008},
MRCLASS = {11G07},
MRNUMBER = {2467842 (2009k:11099)},
MRREVIEWER = {Abderrahmane Nitaj},
DOI = {10.1007/978-3-540-79456-1_7},
URL = {http://dx.doi.org/10.1007/978-3-540-79456-1_7},
}
@article {MR2398785,
AUTHOR = {Cremona, J. E.},
TITLE = {Unimodular integer circulants},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {77},
YEAR = {2008},
NUMBER = {263},
PAGES = {1639--1652},
ISSN = {0025-5718},
CODEN = {MCMPAF},
MRCLASS = {11C08 (11C20 15A36)},
MRNUMBER = {2398785 (2009c:11042)},
MRREVIEWER = {Christopher Smyth},
DOI = {10.1090/S0025-5718-08-02089-9},
URL = {http://dx.doi.org/10.1090/S0025-5718-08-02089-9},
}
@article {MR2384334,
AUTHOR = {Cremona, J. E. and Fisher, T. A. and O'Neil, C. and Simon, D.
and Stoll, M.},
TITLE = {Explicit {$n$}-descent on elliptic curves. {I}. {A}lgebra},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
Journal]},
VOLUME = {615},
YEAR = {2008},
PAGES = {121--155},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {11G05 (11R34 11Y50 14G25)},
MRNUMBER = {2384334 (2009g:11067)},
MRREVIEWER = {Imin Chen},
DOI = {10.1515/CRELLE.2008.012},
URL = {http://dx.doi.org/10.1515/CRELLE.2008.012},
}
@article {MR2367320,
AUTHOR = {Cremona, J. E. and Lingham, M. P.},
TITLE = {Finding all elliptic curves with good reduction outside a
given set of primes},
JOURNAL = {Experiment. Math.},
FJOURNAL = {Experimental Mathematics},
VOLUME = {16},
YEAR = {2007},
NUMBER = {3},
PAGES = {303--312},
ISSN = {1058-6458},
MRCLASS = {11G05 (11Y50)},
MRNUMBER = {2367320 (2008k:11057)},
MRREVIEWER = {Christophe Delaunay},
URL = {http://projecteuclid.org/getRecord?id=euclid.em/1204928531},
}
@article {MR2330429,
AUTHOR = {van Hoeij, Mark and Cremona, John},
TITLE = {Solving conics over function fields},
JOURNAL = {J. Th\'eor. Nombres Bordeaux},
FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
VOLUME = {18},
YEAR = {2006},
NUMBER = {3},
PAGES = {595--606},
ISSN = {1246-7405},
MRCLASS = {11R58 (11Y50 68W30)},
MRNUMBER = {2330429 (2008f:11133)},
MRREVIEWER = {Martha Rzedowski-Calder{\'o}n},
URL = {http://jtnb.cedram.org/item?id=JTNB_2006__18_3_595_0},
}
@incollection {MR2282930,
AUTHOR = {Cremona, John and Siksek, Samir},
TITLE = {Computing a lower bound for the canonical height on elliptic
curves over {$\Bbb Q$}},
BOOKTITLE = {Algorithmic number theory},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {4076},
PAGES = {275--286},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2006},
MRCLASS = {11G50 (11G05)},
MRNUMBER = {2282930 (2008d:11066)},
MRREVIEWER = {Hui Xue},
DOI = {10.1007/11792086_20},
URL = {http://dx.doi.org/10.1007/11792086_20},
}
@incollection {MR2282912,
AUTHOR = {Cremona, John},
TITLE = {The elliptic curve database for conductors to 130000},
BOOKTITLE = {Algorithmic number theory},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {4076},
PAGES = {11--29},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {2006},
MRCLASS = {11G05 (11-03 11Y70)},
MRNUMBER = {2282912 (2007k:11087)},
MRREVIEWER = {A. Peth{\H{o}}},
DOI = {10.1007/11792086_2},
URL = {http://dx.doi.org/10.1007/11792086_2},
}
@article {MR2197860,
AUTHOR = {Cremona, J. E. and Prickett, M. and Siksek, Samir},
TITLE = {Height difference bounds for elliptic curves over number
fields},
JOURNAL = {J. Number Theory},
FJOURNAL = {Journal of Number Theory},
VOLUME = {116},
YEAR = {2006},
NUMBER = {1},
PAGES = {42--68},
ISSN = {0022-314X},
CODEN = {JNUTA9},
MRCLASS = {11G50 (11G05)},
MRNUMBER = {2197860 (2006k:11121)},
MRREVIEWER = {Clayton Petsche},
}
@article {MR2085902,
AUTHOR = {Agashe, Amod and Stein, William},
TITLE = {Visible evidence for the {B}irch and {S}winnerton-{D}yer
conjecture for modular abelian varieties of analytic rank
zero},
NOTE = {With an appendix by J. Cremona and B. Mazur},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {74},
YEAR = {2005},
NUMBER = {249},
PAGES = {455--484},
ISSN = {0025-5718},
CODEN = {MCMPAF},
MRCLASS = {11G40 (11G10)},
MRNUMBER = {2085902 (2005g:11119)},
MRREVIEWER = {Chandan Singh Dalawat},
DOI = {10.1090/S0025-5718-04-01644-8},
URL = {http://dx.doi.org/10.1090/S0025-5718-04-01644-8},
}
@book {MR2058638,
TITLE = {Modular curves and abelian varieties},
SERIES = {Progress in Mathematics},
VOLUME = {224},
EDITOR = {Cremona, John and Lario, Joan-Carles and Quer, Jordi and
Ribet, Kenneth},
NOTE = {Papers from the conference held in Bellaterra, July 15--18,
2002},
PUBLISHER = {Birkh\"auser Verlag},
ADDRESS = {Basel},
YEAR = {2004},
PAGES = {viii+289},
ISBN = {3-7643-6586-2},
MRCLASS = {11-06 (11Gxx)},
MRNUMBER = {2058638 (2004k:11004)},
}
@article {MR2024647,
AUTHOR = {Stoll, Michael and Cremona, John E.},
TITLE = {On the reduction theory of binary forms},
JOURNAL = {J. Reine Angew. Math.},
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
VOLUME = {565},
YEAR = {2003},
PAGES = {79--99},
ISSN = {0075-4102},
CODEN = {JRMAA8},
MRCLASS = {11H55 (11E76)},
MRNUMBER = {2024647 (2005e:11091)},
MRREVIEWER = {Christine Bachoc},
DOI = {10.1515/crll.2003.106},
URL = {http://dx.doi.org/10.1515/crll.2003.106},
}
@article {MR1980642,
AUTHOR = {Siksek, Samir and Cremona, John E.},
TITLE = {On the {D}iophantine equation {$x^2+7=y^m$}},
JOURNAL = {Acta Arith.},
FJOURNAL = {Acta Arithmetica},
VOLUME = {109},
YEAR = {2003},
NUMBER = {2},
PAGES = {143--149},
ISSN = {0065-1036},
CODEN = {AARIA9},
MRCLASS = {11G30 (11D41)},
MRNUMBER = {1980642 (2004c:11109)},
MRREVIEWER = {Dimitrios Poulakis},
DOI = {10.4064/aa109-2-3},
URL = {http://dx.doi.org/10.4064/aa109-2-3},
}
@article {MR1972744,
AUTHOR = {Cremona, J. E. and Rusin, D.},
TITLE = {Efficient solution of rational conics},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {72},
YEAR = {2003},
NUMBER = {243},
PAGES = {1417--1441 (electronic)},
ISSN = {0025-5718},
CODEN = {MCMPAF},
MRCLASS = {11Y50 (11D09)},
MRNUMBER = {1972744 (2004a:11137)},
MRREVIEWER = {Joseph H. Silverman},
DOI = {10.1090/S0025-5718-02-01480-1},
URL = {http://dx.doi.org/10.1090/S0025-5718-02-01480-1},
}
@article {MR1951757,
AUTHOR = {Stoll, Michael and Cremona, John E.},
TITLE = {Minimal models for 2-coverings of elliptic curves},
JOURNAL = {LMS J. Comput. Math.},
FJOURNAL = {LMS Journal of Computation and Mathematics},
VOLUME = {5},
YEAR = {2002},
PAGES = {220--243 (electronic)},
ISSN = {1461-1570},
MRCLASS = {11G05 (11G07 14Q05)},
MRNUMBER = {1951757 (2003j:11062)},
MRREVIEWER = {Ivica Gusi{\'c}},
}
@article {MR1941121,
AUTHOR = {Cremona, J. E.},
TITLE = {On the computation of {M}ordell-{W}eil and 2-{S}elmer groups
of elliptic curves},
JOURNAL = {Rocky Mountain J. Math.},
FJOURNAL = {The Rocky Mountain Journal of Mathematics},
VOLUME = {32},
YEAR = {2002},
NUMBER = {3},
PAGES = {953--967},
ISSN = {0035-7596},
CODEN = {RMJMAE},
MRCLASS = {11G05},
MRNUMBER = {1941121 (2003h:11060)},
MRREVIEWER = {Ivica Gusi{\'c}},
DOI = {10.1216/rmjm/1034968425},
URL = {http://dx.doi.org/10.1216/rmjm/1034968425},
}
@article {MR1835853,
AUTHOR = {Cremona, J. E.},
TITLE = {Corrigendum: ``{R}eduction of binary cubic and quartic forms''
[{LMS} {J}. {C}omput. {M}ath. {\bf 2} (1999), 64--94
(electronic); {MR}1693411 (2000f:11040)]},
JOURNAL = {LMS J. Comput. Math.},
FJOURNAL = {LMS Journal of Computation and Mathematics},
VOLUME = {4},
YEAR = {2001},
PAGES = {73 (electronic)},
ISSN = {1461-1570},
MRCLASS = {11E76 (11H55)},
MRNUMBER = {1835853},
}
@article {MR1806207,
AUTHOR = {Cremona, J. E.},
TITLE = {Classical invariants and 2-descent on elliptic curves},
NOTE = {Computational algebra and number theory (Milwaukee, WI, 1996)},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {31},
YEAR = {2001},
NUMBER = {1-2},
PAGES = {71--87},
ISSN = {0747-7171},
MRCLASS = {11G05 (11Y50)},
MRNUMBER = {1806207 (2002a:11055)},
MRREVIEWER = {Ivica Gusi{\'c}},
DOI = {10.1006/jsco.1998.1004},
URL = {http://dx.doi.org/10.1006/jsco.1998.1004},
}
@article {MR1758797,
AUTHOR = {Cremona, John E. and Mazur, Barry},
TITLE = {Visualizing elements in the {S}hafarevich-{T}ate group},
JOURNAL = {Experiment. Math.},
FJOURNAL = {Experimental Mathematics},
VOLUME = {9},
YEAR = {2000},
NUMBER = {1},
PAGES = {13--28},
ISSN = {1058-6458},
MRCLASS = {11G05 (11G40 14G05)},
MRNUMBER = {1758797 (2001g:11083)},
MRREVIEWER = {Amod Agash{\'e}},
URL = {http://projecteuclid.org/getRecord?id=euclid.em/1046889588},
}
@article {MR1693411,
AUTHOR = {Cremona, J. E.},
TITLE = {Reduction of binary cubic and quartic forms},
JOURNAL = {LMS J. Comput. Math.},
FJOURNAL = {LMS Journal of Computation and Mathematics},
VOLUME = {2},
YEAR = {1999},
PAGES = {64--94 (electronic)},
ISSN = {1461-1570},
MRCLASS = {11E76 (11H55)},
MRNUMBER = {1693411 (2000f:11040)},
MRREVIEWER = {Renaud Coulangeon},
}
@article {MR1627777,
AUTHOR = {Cremona, J. E. and Serf, P.},
TITLE = {Computing the rank of elliptic curves over real quadratic
number fields of class number {$1$}},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {68},
YEAR = {1999},
NUMBER = {227},
PAGES = {1187--1200},
ISSN = {0025-5718},
CODEN = {MCMPAF},
MRCLASS = {11G05 (11Y50)},
MRNUMBER = {1627777 (99j:11060)},
MRREVIEWER = {Kenneth Kramer},
DOI = {10.1090/S0025-5718-99-01055-8},
URL = {http://dx.doi.org/10.1090/S0025-5718-99-01055-8},
}
@book {MR1628193,
AUTHOR = {Cremona, J. E.},
TITLE = {Algorithms for modular elliptic curves},
EDITION = {Second},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1997},
PAGES = {vi+376},
ISBN = {0-521-59820-6},
MRCLASS = {11G05 (11F11 11F25 11G40 14G25)},
MRNUMBER = {1628193 (99e:11068)},
MRREVIEWER = {Joseph H. Silverman},
}
@article {MR1474571,
AUTHOR = {Cremona, John E.},
TITLE = {Computing periods of cusp forms and modular elliptic curves},
JOURNAL = {Experiment. Math.},
FJOURNAL = {Experimental Mathematics},
VOLUME = {6},
YEAR = {1997},
NUMBER = {2},
PAGES = {97--107},
ISSN = {1058-6458},
MRCLASS = {11F67 (11F11 11G05 11Y35)},
MRNUMBER = {1474571 (98h:11058)},
MRREVIEWER = {V. Kumar Murty},
URL = {http://projecteuclid.org/getRecord?id=euclid.em/1047649997},
}
@article {MR1297466,
AUTHOR = {Cremona, J. E.},
TITLE = {Computing the degree of the modular parametrization of a
modular elliptic curve},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {64},
YEAR = {1995},
NUMBER = {211},
PAGES = {1235--1250},
ISSN = {0025-5718},
CODEN = {MCMPAF},
MRCLASS = {11G05 (11F30 11F66 11G40)},
MRNUMBER = {1297466 (95j:11047)},
MRREVIEWER = {Henri Darmon},
DOI = {10.2307/2153493},
URL = {http://dx.doi.org/10.2307/2153493},
}
@incollection {MR1322718,
AUTHOR = {Cremona, J. E.},
TITLE = {Computing the degree of a modular parametrization},
BOOKTITLE = {Algorithmic number theory ({I}thaca, {NY}, 1994)},
SERIES = {Lecture Notes in Comput. Sci.},
VOLUME = {877},
PAGES = {134--142},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1994},
MRCLASS = {11G18 (11F11 11G05)},
MRNUMBER = {1322718 (96b:11075)},
MRREVIEWER = {Andrea Mori},
}
@incollection {MR1260953,
AUTHOR = {Cremona, John E.},
TITLE = {Periods of cusp forms and elliptic curves over imaginary
quadratic fields},
BOOKTITLE = {Elliptic curves and related topics},
SERIES = {CRM Proc. Lecture Notes},
VOLUME = {4},
PAGES = {29--44},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1994},
MRCLASS = {11F67 (11G05 11G40)},
MRNUMBER = {1260953 (95i:11046)},
MRREVIEWER = {Glenn Stevens},
}
@article {MR1185241,
AUTHOR = {Cremona, J. E. and Whitley, E.},
TITLE = {Periods of cusp forms and elliptic curves over imaginary
quadratic fields},
JOURNAL = {Math. Comp.},
FJOURNAL = {Mathematics of Computation},
VOLUME = {62},
YEAR = {1994},
NUMBER = {205},
PAGES = {407--429},
ISSN = {0025-5718},
CODEN = {MCMPAF},
MRCLASS = {11F67 (11F66 11G05 11G40)},
MRNUMBER = {1185241 (94c:11046)},
MRREVIEWER = {Henri Darmon},
DOI = {10.2307/2153419},
URL = {http://dx.doi.org/10.2307/2153419},
}
@article {MR1251236,
AUTHOR = {Cremona, J. E.},
TITLE = {The analytic order of {S}h for modular elliptic curves},
JOURNAL = {J. Th\'eor. Nombres Bordeaux},
FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
VOLUME = {5},
YEAR = {1993},
NUMBER = {1},
PAGES = {179--184},
ISSN = {1246-7405},
MRCLASS = {11G40 (11F30 11F66 11G05)},
MRNUMBER = {1251236 (94i:11041)},
MRREVIEWER = {Henri Darmon},
URL = {http://jtnb.cedram.org/item?id=JTNB_1993__5_1_179_0},
}
@book {MR1201151,
AUTHOR = {Cremona, J. E.},
TITLE = {Algorithms for modular elliptic curves},
PUBLISHER = {Cambridge University Press},
ADDRESS = {Cambridge},
YEAR = {1992},
PAGES = {vi+343},
ISBN = {0-521-41813-5},
MRCLASS = {11G40 (11G05 11Y16 11Y35)},
MRNUMBER = {1201151 (93m:11053)},
MRREVIEWER = {Philippe Satg{\'e}},
}
@article {MR1180252,
AUTHOR = {Cremona, J. E.},
TITLE = {Abelian varieties with extra twist, cusp forms, and elliptic
curves over imaginary quadratic fields},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {45},
YEAR = {1992},
NUMBER = {3},
PAGES = {404--416},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {11G10 (11F12 11F30 11F66 11G05)},
MRNUMBER = {1180252 (93h:11056)},
MRREVIEWER = {Henri Darmon},
DOI = {10.1112/jlms/s2-45.3.404},
URL = {http://dx.doi.org/10.1112/jlms/s2-45.3.404},
}
@article {MR1142740,
AUTHOR = {Cremona, J. E.},
TITLE = {Modular symbols for {$\Gamma_1(N)$} and elliptic curves
with everywhere good reduction},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {111},
YEAR = {1992},
NUMBER = {2},
PAGES = {199--218},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {11F67 (11G05)},
MRNUMBER = {1142740 (93e:11065)},
MRREVIEWER = {Philippe Satg{\'e}},
DOI = {10.1017/S0305004100075307},
URL = {http://dx.doi.org/10.1017/S0305004100075307},
}
@article {MR1142740,
AUTHOR = {Cremona, J. E.},
TITLE = {Modular symbols for {$\Gamma_1(N)$} and elliptic curves
with everywhere good reduction},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {111},
YEAR = {1992},
NUMBER = {2},
PAGES = {199--218},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {11F67 (11G05)},
MRNUMBER = {1142740 (93e:11065)},
MRREVIEWER = {Philippe Satg{\'e}},
DOI = {10.1017/S0305004100075307},
URL = {http://dx.doi.org/10.1017/S0305004100075307},
}
@article {MR1061974,
AUTHOR = {Cremona, John and Landau, Susan},
TITLE = {Shrinking lattice polyhedra},
JOURNAL = {SIAM J. Discrete Math.},
FJOURNAL = {SIAM Journal on Discrete Mathematics},
VOLUME = {3},
YEAR = {1990},
NUMBER = {3},
PAGES = {338--348},
ISSN = {0895-4801},
CODEN = {SJDMEC},
MRCLASS = {52C07 (11H06 52B20)},
MRNUMBER = {1061974 (91i:52011)},
MRREVIEWER = {Robert M. Erdahl},
DOI = {10.1137/0403029},
URL = {http://dx.doi.org/10.1137/0403029},
}
@article {MR1021868,
AUTHOR = {Cremona, J. E. and Odoni, R. W. K.},
TITLE = {A generalization of a result of {I}wasawa on the capitulation
problem},
JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
Society},
VOLUME = {107},
YEAR = {1990},
NUMBER = {1},
PAGES = {1--3},
ISSN = {0305-0041},
CODEN = {MPCPCO},
MRCLASS = {11R11 (11R37)},
MRNUMBER = {1021868 (90m:11152)},
MRREVIEWER = {F. Diaz y Diaz},
DOI = {10.1017/S0305004100068316},
URL = {http://dx.doi.org/10.1017/S0305004100068316},
}
@article {MR1045787,
AUTHOR = {Cremona, J. E.},
TITLE = {On the {G}alois groups of the iterates of {$x^2+1$}},
JOURNAL = {Mathematika},
FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics},
VOLUME = {36},
YEAR = {1989},
NUMBER = {2},
PAGES = {259--261 (1990)},
ISSN = {0025-5793},
CODEN = {MTKAAB},
MRCLASS = {12F10},
MRNUMBER = {1045787 (91b:12003)},
MRREVIEWER = {Yu Wang},
DOI = {10.1112/S0025579300013127},
URL = {http://dx.doi.org/10.1112/S0025579300013127},
}
@article {MR989916,
AUTHOR = {Cremona, J. E. and Odoni, R. W. K.},
TITLE = {Some density results for negative {P}ell equations; an
application of graph theory},
JOURNAL = {J. London Math. Soc. (2)},
FJOURNAL = {Journal of the London Mathematical Society. Second Series},
VOLUME = {39},
YEAR = {1989},
NUMBER = {1},
PAGES = {16--28},
ISSN = {0024-6107},
CODEN = {JLMSAK},
MRCLASS = {11D09 (05C30)},
MRNUMBER = {989916 (90b:11019)},
MRREVIEWER = {B. M. M. de Weger},
DOI = {10.1112/jlms/s2-39.1.16},
URL = {http://dx.doi.org/10.1112/jlms/s2-39.1.16},
}
@article {MR975907,
AUTHOR = {Cremona, J. E.},
TITLE = {On {${\rm GL}(n)$} of a {D}edekind domain},
JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
VOLUME = {39},
YEAR = {1988},
NUMBER = {156},
PAGES = {423--426},
ISSN = {0033-5606},
CODEN = {QJMAAT},
MRCLASS = {20G35 (11E57)},
MRNUMBER = {975907 (89k:20061)},
MRREVIEWER = {Alexander J. Hahn},
}
@article {MR906375,
AUTHOR = {Cremona, J. E.},
TITLE = {Addendum and errata: ``{H}yperbolic tessellations, modular
symbols, and elliptic curves over complex quadratic fields''
[{C}ompositio {M}ath.\ {\bf 51} (1984), no.\ 3, 275--324;
{MR}0743014 (85j:11063)]},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {63},
YEAR = {1987},
NUMBER = {2},
PAGES = {271--272},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {11G05 (11F67 14G25 14K07)},
MRNUMBER = {906375 (89a:11058)},
MRREVIEWER = {Reinhard B{\"o}lling},
URL = {http://www.numdam.org/item?id=CM_1987__63_2_271_0},
}
@article {MR743014,
AUTHOR = {Cremona, J. E.},
TITLE = {Hyperbolic tessellations, modular symbols, and elliptic curves
over complex quadratic fields},
JOURNAL = {Compositio Math.},
FJOURNAL = {Compositio Mathematica},
VOLUME = {51},
YEAR = {1984},
NUMBER = {3},
PAGES = {275--324},
ISSN = {0010-437X},
CODEN = {CMPMAF},
MRCLASS = {11G05 (11F67 14G25 14K07)},
MRNUMBER = {743014 (85j:11063)},
MRREVIEWER = {Reinhard B{\"o}lling},
URL = {http://www.numdam.org/item?id=CM_1984__51_3_275_0},
}