Currently, the database includes $3,824,372$ elliptic curves over $\Q$ in $2,917,287$ isogeny classes, with conductor at most $299,996,953$.
Distribution of rank
| torsion structure |
trivial |
$\Z/{2}\Z$ |
$\Z/{2}\Z \oplus \Z/{2}\Z$ |
$\Z/{2}\Z \oplus \Z/{4}\Z$ |
$\Z/{2}\Z \oplus \Z/{6}\Z$ |
$\Z/{2}\Z \oplus \Z/{8}\Z$ |
$\Z/{3}\Z$ |
$\Z/{4}\Z$ |
$\Z/{5}\Z$ |
$\Z/{6}\Z$ |
| count |
2436622 |
1192275 |
100058 |
1737 |
96 |
6 |
51421 |
33558 |
1503 |
6759 |
| proportion |
63.71% |
31.18% |
2.62% |
0.05% |
0.00% |
0.00% |
1.34% |
0.88% |
0.04% |
0.18% |
|
| torsion structure |
$\Z/{7}\Z$ |
$\Z/{8}\Z$ |
$\Z/{9}\Z$ |
$\Z/{10}\Z$ |
$\Z/{12}\Z$ |
| count |
80 |
178 |
20 |
42 |
17 |
| proportion |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
|
| sha |
$1^2$ |
$2^2$ |
$3^2$ |
$4^2$ |
$5^2$ |
$6^2$ |
$7^2$ |
$8^2$ |
$9^2$ |
$10^2$ |
| count |
3502608 |
212138 |
65936 |
22749 |
10953 |
3239 |
2795 |
1512 |
853 |
391 |
| proportion |
91.59% |
5.55% |
1.72% |
0.59% |
0.29% |
0.08% |
0.07% |
0.04% |
0.02% |
0.01% |
|
| sha |
$11^2$ |
$12^2$ |
$13^2$ |
$14^2$ |
$15^2$ |
$16^2$ |
$17^2$ |
$18^2$ |
$19^2$ |
$20^2$ |
| count |
408 |
174 |
210 |
70 |
89 |
49 |
50 |
15 |
36 |
17 |
| proportion |
0.01% |
0.00% |
0.01% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
|
| sha |
$21^2$ |
$22^2$ |
$23^2$ |
$24^2$ |
$25^2$ |
$26^2$ |
$27^2$ |
$28^2$ |
$29^2$ |
$31^2$ |
| count |
10 |
3 |
15 |
4 |
13 |
3 |
5 |
7 |
3 |
4 |
| proportion |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
|
| sha |
$32^2$ |
$33^2$ |
$34^2$ |
$37^2$ |
$41^2$ |
$43^2$ |
$47^2$ |
$50^2$ |
$75^2$ |
Total |
| count |
5 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
3824372 |
| proportion |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
0.00% |
100.00% |
|
