Algorithms for Modular Elliptic Curves

Cambridge University Press (UK, USA), who published the First Edition (1992) and Second Edition (1997) do not plan to reprint the book, and I have no plans to write a third edition. Instead, CUP have allowed me to post the text of the second edition (with corrections) here.

The following links are to pdf files of the whole book, in sections. It is identical to the second edition, except that these errata have been corrected, and a couple of references updated.

• Contents (also available in html)
• Text:
  • Chapter 1: Introduction (also available in html, where some of the links will be updated)
  • Chapter 2: Modular Symbol Algorithms [45 pages, 356711 bytes]
  • Examples (N=11,33,37,49)
  • Chapter 3: Elliptic Curve Algorithms [42 pages, 335297 bytes]
  • Chapter 4: The Tables [5 pages, 765057 bytes]
• Tables (see also the more extensive data for conductors up to 130000 -- updated November 2005 -- and some supplementary data)
  • Table 1: Elliptic Curves
  • Table 2: Mordell-Weil generators
  • Table 3: Hecke eigenvalues
  • Table 4: Birch--Swinnerton-Dyer data
  • Table 5: Parametrization degrees
• Bibliography