| 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 |
| 916.a1 |
916c1 |
916.a |
916c |
$1$ |
$1$ |
\( 2^{2} \cdot 229 \) |
\( 2^{4} \cdot 229 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$458$ |
$2$ |
$0$ |
$0.136468199$ |
$1$ |
|
$22$ |
$132$ |
$-0.624127$ |
$442368/229$ |
$0.76745$ |
$2.31268$ |
$[0, 0, 0, -4, 1]$ |
\(y^2=x^3-4x+1\) |
458.2.0.? |
$[(0, 1), (2, 1)]$ |
| 916.b1 |
916e1 |
916.b |
916e |
$1$ |
$1$ |
\( 2^{2} \cdot 229 \) |
\( 2^{4} \cdot 229 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$458$ |
$2$ |
$0$ |
$0.226963540$ |
$1$ |
|
$6$ |
$36$ |
$-0.602432$ |
$1048576/229$ |
$0.81956$ |
$2.43922$ |
$[0, -1, 0, -5, -2]$ |
\(y^2=x^3-x^2-5x-2\) |
458.2.0.? |
$[(-1, 1)]$ |
| 916.c1 |
916a2 |
916.c |
916a |
$2$ |
$2$ |
\( 2^{2} \cdot 229 \) |
\( 2^{4} \cdot 229 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$1832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$306$ |
$-0.267083$ |
$3034202112/229$ |
$0.98398$ |
$3.60788$ |
$[0, 0, 0, -76, -255]$ |
\(y^2=x^3-76x-255\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 458.6.0.?, 916.24.0.?, $\ldots$ |
$[ ]$ |
| 916.c2 |
916a1 |
916.c |
916a |
$2$ |
$2$ |
\( 2^{2} \cdot 229 \) |
\( - 2^{8} \cdot 229^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.37 |
2B |
$1832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$153$ |
$0.079491$ |
$-154617552/52441$ |
$0.80470$ |
$3.64558$ |
$[0, 0, 0, -71, -290]$ |
\(y^2=x^3-71x-290\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 916.12.0.?, 1832.48.0.? |
$[ ]$ |
| 916.d1 |
916d2 |
916.d |
916d |
$2$ |
$3$ |
\( 2^{2} \cdot 229 \) |
\( 2^{4} \cdot 229^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1374$ |
$16$ |
$0$ |
$0.579325935$ |
$1$ |
|
$2$ |
$180$ |
$0.284983$ |
$26919436288/12008989$ |
$0.96889$ |
$3.92795$ |
$[0, 1, 0, -157, -416]$ |
\(y^2=x^3+x^2-157x-416\) |
3.8.0-3.a.1.1, 458.2.0.?, 1374.16.0.? |
$[(60, 458)]$ |
| 916.d2 |
916d1 |
916.d |
916d |
$2$ |
$3$ |
\( 2^{2} \cdot 229 \) |
\( 2^{4} \cdot 229 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1374$ |
$16$ |
$0$ |
$1.737977805$ |
$1$ |
|
$6$ |
$60$ |
$-0.264323$ |
$3196715008/229$ |
$0.91111$ |
$3.61553$ |
$[0, 1, 0, -77, 236]$ |
\(y^2=x^3+x^2-77x+236\) |
3.8.0-3.a.1.2, 458.2.0.?, 1374.16.0.? |
$[(8, 14)]$ |
| 916.e1 |
916b1 |
916.e |
916b |
$1$ |
$1$ |
\( 2^{2} \cdot 229 \) |
\( 2^{4} \cdot 229 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$458$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8604$ |
$1.603981$ |
$7199822449910499065856/229$ |
$1.08659$ |
$7.78604$ |
$[0, 0, 0, -1013692, 392832257]$ |
\(y^2=x^3-1013692x+392832257\) |
458.2.0.? |
$[ ]$ |
