| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 9251.a1 |
9251d1 |
9251.a |
9251d |
$1$ |
$1$ |
\( 11 \cdot 29^{2} \) |
\( - 11 \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$77280$ |
$1.340889$ |
$-5601816576/9251$ |
$0.88114$ |
$4.67047$ |
$[0, 0, 1, -31117, -2115746]$ |
\(y^2+y=x^3-31117x-2115746\) |
22.2.0.a.1 |
$[]$ |
| 9251.b1 |
9251b1 |
9251.b |
9251b |
$1$ |
$1$ |
\( 11 \cdot 29^{2} \) |
\( - 11 \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$24360$ |
$1.125401$ |
$783/11$ |
$0.71531$ |
$4.02398$ |
$[1, -1, 1, 1524, -110894]$ |
\(y^2+xy+y=x^3-x^2+1524x-110894\) |
22.2.0.a.1 |
$[]$ |
| 9251.c1 |
9251c1 |
9251.c |
9251c |
$1$ |
$1$ |
\( 11 \cdot 29^{2} \) |
\( - 11 \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$2.032532464$ |
$1$ |
|
$6$ |
$840$ |
$-0.558247$ |
$783/11$ |
$0.71531$ |
$1.81168$ |
$[1, -1, 0, 2, -5]$ |
\(y^2+xy=x^3-x^2+2x-5\) |
22.2.0.a.1 |
$[(2, 1), (6, 11)]$ |
| 9251.d1 |
9251a3 |
9251.d |
9251a |
$3$ |
$25$ |
\( 11 \cdot 29^{2} \) |
\( - 11 \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$15950$ |
$1200$ |
$37$ |
$103.1839657$ |
$1$ |
|
$0$ |
$126000$ |
$2.180359$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.42879$ |
$[0, 1, 1, -6576900, -6494214623]$ |
\(y^2+y=x^3+x^2-6576900x-6494214623\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 145.24.0.?, $\ldots$ |
$[(14546920744432204974569044640541759816130284721/1698667394235477725560, 1458193270193098272815143379838117393791407602390801170274271799833719/1698667394235477725560)]$ |
| 9251.d2 |
9251a2 |
9251.d |
9251a |
$3$ |
$25$ |
\( 11 \cdot 29^{2} \) |
\( - 11^{5} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$15950$ |
$1200$ |
$37$ |
$20.63679315$ |
$1$ |
|
$0$ |
$25200$ |
$1.375639$ |
$-122023936/161051$ |
$1.01300$ |
$4.38123$ |
$[0, 1, 1, -8690, -567683]$ |
\(y^2+y=x^3+x^2-8690x-567683\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 145.120.0.?, 275.300.12.?, $\ldots$ |
$[(26259738881/2360, 4254954530288479/2360)]$ |
| 9251.d3 |
9251a1 |
9251.d |
9251a |
$3$ |
$25$ |
\( 11 \cdot 29^{2} \) |
\( - 11 \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$15950$ |
$1200$ |
$37$ |
$4.127358631$ |
$1$ |
|
$0$ |
$5040$ |
$0.570919$ |
$-4096/11$ |
$0.82546$ |
$3.31252$ |
$[0, 1, 1, -280, 4197]$ |
\(y^2+y=x^3+x^2-280x+4197\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 145.24.0.?, $\ldots$ |
$[(-495/8, 39271/8)]$ |
