Number of isogeny classes of curves of conductor N < 500000, sorted by rank
| N | all | r=0 | r=1 | r=2 | r=3 | r=4
|
| 1-499999 |
2164260 |
790258 |
1086046 |
279056 |
8899 |
1 |
| 1-9999 |
38042 |
16450 |
19622 |
1969 |
1 |
0 |
| 10000-19999 |
43175 |
17101 |
22576 |
3490 |
8 |
0 |
| 20000-29999 |
44141 |
17329 |
22601 |
4183 |
28 |
0 |
| 30000-39999 |
44324 |
16980 |
22789 |
4517 |
38 |
0 |
| 40000-49999 |
44519 |
16912 |
22826 |
4727 |
54 |
0 |
| 50000-59999 |
44301 |
16728 |
22400 |
5126 |
47 |
0 |
| 60000-69999 |
44361 |
16568 |
22558 |
5147 |
88 |
0 |
| 70000-79999 |
44449 |
16717 |
22247 |
5400 |
85 |
0 |
| 80000-89999 |
44861 |
17052 |
22341 |
5369 |
99 |
0 |
| 90000-99999 |
45053 |
16923 |
22479 |
5568 |
83 |
0 |
| 100000-109999 |
44274 |
16599 |
22165 |
5369 |
141 |
0 |
| 110000-119999 |
44071 |
16307 |
22173 |
5453 |
138 |
0 |
| 120000-129999 |
44655 |
16288 |
22621 |
5648 |
98 |
0 |
| 130000-139999 |
44082 |
16025 |
22201 |
5738 |
118 |
0 |
| 140000-149999 |
44587 |
16308 |
22584 |
5556 |
139 |
0 |
| 150000-159999 |
43383 |
15516 |
22169 |
5544 |
154 |
0 |
| 160000-169999 |
44519 |
16065 |
22721 |
5563 |
170 |
0 |
| 170000-179999 |
43880 |
16100 |
21954 |
5640 |
186 |
0 |
| 180000-189999 |
42988 |
15692 |
21499 |
5617 |
180 |
0 |
| 190000-199999 |
43249 |
15575 |
21819 |
5685 |
170 |
0 |
| 200000-209999 |
44600 |
16116 |
22543 |
5759 |
182 |
0 |
| 210000-219999 |
43834 |
15745 |
22087 |
5835 |
167 |
0 |
| 220000-229999 |
43851 |
15908 |
21992 |
5814 |
137 |
0 |
| 230000-239999 |
42854 |
15387 |
21571 |
5722 |
173 |
1 |
| 240000-249999 |
43512 |
15737 |
21714 |
5860 |
201 |
0 |
| 250000-259999 |
43259 |
15637 |
21639 |
5784 |
199 |
0 |
| 260000-269999 |
42545 |
15312 |
21188 |
5818 |
227 |
0 |
| 270000-279999 |
43001 |
15680 |
21275 |
5816 |
230 |
0 |
| 280000-289999 |
43416 |
15719 |
21424 |
6035 |
238 |
0 |
| 290000-299999 |
43280 |
15681 |
21438 |
5942 |
219 |
0 |
| 300000-309999 |
42656 |
15231 |
21357 |
5838 |
230 |
0 |
| 310000-319999 |
43093 |
15622 |
21365 |
5903 |
203 |
0 |
| 320000-329999 |
42892 |
15290 |
21398 |
6004 |
200 |
0 |
| 330000-339999 |
43040 |
15306 |
21619 |
5893 |
222 |
0 |
| 340000-349999 |
43735 |
15597 |
21715 |
6213 |
210 |
0 |
| 350000-359999 |
42644 |
15146 |
21273 |
6018 |
207 |
0 |
| 360000-369999 |
43113 |
15418 |
21494 |
5964 |
237 |
0 |
| 370000-379999 |
43098 |
15419 |
21357 |
6056 |
266 |
0 |
| 380000-389999 |
43355 |
15605 |
21464 |
6048 |
238 |
0 |
| 390000-399999 |
42310 |
15071 |
21079 |
5877 |
283 |
0 |
| 400000-409999 |
42018 |
15009 |
20800 |
5959 |
250 |
0 |
| 410000-419999 |
42481 |
15004 |
21213 |
6030 |
234 |
0 |
| 420000-429999 |
42544 |
15068 |
21272 |
5949 |
255 |
0 |
| 430000-439999 |
42112 |
14916 |
21120 |
5825 |
251 |
0 |
| 440000-449999 |
42077 |
14903 |
20978 |
5931 |
265 |
0 |
| 450000-459999 |
42037 |
15002 |
21053 |
5730 |
252 |
0 |
| 460000-469999 |
41776 |
14711 |
20727 |
6055 |
283 |
0 |
| 470000-479999 |
42735 |
15312 |
21091 |
6025 |
307 |
0 |
| 480000-489999 |
42778 |
15310 |
21321 |
5899 |
248 |
0 |
| 490000-499999 |
42700 |
15161 |
21134 |
6145 |
260 |
0 |
Total number of curves of conductor N < 500000
| N |
# isogeny classes |
# isomorphism classes |
| 1-499999 |
2164260 |
3064705 |
| 1-9999 |
38042 |
64687 |
| 10000-19999 |
43175 |
67848 |
| 20000-29999 |
44141 |
66995 |
| 30000-39999 |
44324 |
66561 |
| 40000-49999 |
44519 |
66275 |
| 50000-59999 |
44301 |
65393 |
| 60000-69999 |
44361 |
65209 |
| 70000-79999 |
44449 |
64687 |
| 80000-89999 |
44861 |
64864 |
| 90000-99999 |
45053 |
64877 |
| 100000-109999 |
44274 |
63410 |
| 110000-119999 |
44071 |
63277 |
| 120000-129999 |
44655 |
63467 |
| 130000-139999 |
44082 |
63053 |
| 140000-149999 |
44587 |
63501 |
| 150000-159999 |
43383 |
61866 |
| 160000-169999 |
44519 |
62178 |
| 170000-179999 |
43880 |
62202 |
| 180000-189999 |
42988 |
60943 |
| 190000-199999 |
43249 |
61068 |
| 200000-209999 |
44600 |
62858 |
| 210000-219999 |
43834 |
61570 |
| 220000-229999 |
43851 |
61116 |
| 230000-239999 |
42854 |
59961 |
| 240000-249999 |
43512 |
61217 |
| 250000-259999 |
43259 |
60264 |
| 260000-269999 |
42545 |
59439 |
| 270000-279999 |
43001 |
60235 |
| 280000-289999 |
43416 |
60234 |
| 290000-299999 |
43280 |
60109 |
| 300000-309999 |
42656 |
59081 |
| 310000-319999 |
43093 |
59980 |
| 320000-329999 |
42892 |
59227 |
| 330000-339999 |
43040 |
59643 |
| 340000-349999 |
43735 |
60968 |
| 350000-359999 |
42644 |
58924 |
| 360000-369999 |
43113 |
59274 |
| 370000-379999 |
43098 |
59105 |
| 380000-389999 |
43355 |
59913 |
| 390000-399999 |
42310 |
58170 |
| 400000-409999 |
42018 |
57660 |
| 410000-419999 |
42481 |
58714 |
| 420000-429999 |
42544 |
58263 |
| 430000-439999 |
42112 |
58228 |
| 440000-449999 |
42077 |
57422 |
| 450000-459999 |
42037 |
57875 |
| 460000-469999 |
41776 |
57287 |
| 470000-479999 |
42735 |
58334 |
| 480000-489999 |
42778 |
59229 |
| 490000-499999 |
42700 |
58044 |