| 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 |
| 6253.a1 |
6253b1 |
6253.a |
6253b |
$2$ |
$2$ |
\( 13^{2} \cdot 37 \) |
\( 13^{9} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$19152$ |
$1.630711$ |
$536832589893417/81289$ |
$0.99617$ |
$5.64094$ |
$[1, -1, 1, -286149, 58987868]$ |
\(y^2+xy+y=x^3-x^2-286149x+58987868\) |
2.3.0.a.1, 4.6.0.b.1, 104.12.0.?, 296.12.0.?, 962.6.0.?, $\ldots$ |
$[]$ |
| 6253.a2 |
6253b2 |
6253.a |
6253b |
$2$ |
$2$ |
\( 13^{2} \cdot 37 \) |
\( - 13^{12} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38304$ |
$1.977285$ |
$-532090803662937/6607901521$ |
$0.96209$ |
$5.64235$ |
$[1, -1, 1, -285304, 59352908]$ |
\(y^2+xy+y=x^3-x^2-285304x+59352908\) |
2.3.0.a.1, 4.6.0.a.1, 104.12.0.?, 296.12.0.?, 1924.12.0.?, $\ldots$ |
$[]$ |
| 6253.b1 |
6253a3 |
6253.b |
6253a |
$3$ |
$9$ |
\( 13^{2} \cdot 37 \) |
\( 13^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$25974$ |
$1296$ |
$43$ |
$9.478525470$ |
$1$ |
|
$0$ |
$12960$ |
$1.504557$ |
$727057727488000/37$ |
$1.08598$ |
$5.67564$ |
$[0, 1, 1, -316593, -68670260]$ |
\(y^2+y=x^3+x^2-316593x-68670260\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 39.8.0-3.a.1.2, 74.2.0.?, $\ldots$ |
$[(-29855138/303, -14867209/303)]$ |
| 6253.b2 |
6253a2 |
6253.b |
6253a |
$3$ |
$9$ |
\( 13^{2} \cdot 37 \) |
\( 13^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$25974$ |
$1296$ |
$43$ |
$3.159508490$ |
$1$ |
|
$0$ |
$4320$ |
$0.955250$ |
$1404928000/50653$ |
$0.97274$ |
$4.17043$ |
$[0, 1, 1, -3943, -93609]$ |
\(y^2+y=x^3+x^2-3943x-93609\) |
3.12.0.a.1, 9.36.0.b.1, 39.24.0-3.a.1.1, 74.2.0.?, 117.72.0.?, $\ldots$ |
$[(-341/3, 1423/3)]$ |
| 6253.b3 |
6253a1 |
6253.b |
6253a |
$3$ |
$9$ |
\( 13^{2} \cdot 37 \) |
\( 13^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$25974$ |
$1296$ |
$43$ |
$1.053169496$ |
$1$ |
|
$4$ |
$1440$ |
$0.405944$ |
$4096000/37$ |
$0.88268$ |
$3.50256$ |
$[0, 1, 1, -563, 4918]$ |
\(y^2+y=x^3+x^2-563x+4918\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 39.8.0-3.a.1.1, 74.2.0.?, $\ldots$ |
$[(-22, 84)]$ |
| 6253.c1 |
6253c1 |
6253.c |
6253c |
$1$ |
$1$ |
\( 13^{2} \cdot 37 \) |
\( 13^{6} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.285933$ |
$110592/37$ |
$0.76978$ |
$3.08933$ |
$[0, 0, 1, -169, 549]$ |
\(y^2+y=x^3-169x+549\) |
74.2.0.? |
$[]$ |
