| 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 |
| 116.a1 |
116a1 |
116.a |
116a |
$1$ |
$1$ |
\( 2^{2} \cdot 29 \) |
\( - 2^{8} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120$ |
$0.500798$ |
$-48707390098512/29$ |
$1.02954$ |
$7.79664$ |
$[0, 0, 0, -4831, -129242]$ |
\(y^2=x^3-4831x-129242\) |
116.2.0.? |
$[]$ |
| 116.b1 |
116b1 |
116.b |
116b |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \) |
\( - 2^{8} \cdot 29 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$-0.559319$ |
$-35152/29$ |
$0.71422$ |
$3.55493$ |
$[0, 1, 0, -4, 4]$ |
\(y^2=x^3+x^2-4x+4\) |
3.8.0-3.a.1.2, 116.2.0.?, 348.16.0.? |
$[]$ |
| 116.b2 |
116b2 |
116.b |
116b |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \) |
\( - 2^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$-0.010013$ |
$19600688/24389$ |
$0.87422$ |
$4.72824$ |
$[0, 1, 0, 36, -76]$ |
\(y^2=x^3+x^2+36x-76\) |
3.8.0-3.a.1.1, 116.2.0.?, 348.16.0.? |
$[]$ |
| 116.c1 |
116c2 |
116.c |
116c |
$2$ |
$2$ |
\( 2^{2} \cdot 29 \) |
\( 2^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$232$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30$ |
$-0.642564$ |
$5619712/29$ |
$0.88985$ |
$3.85275$ |
$[0, -1, 0, -9, 14]$ |
\(y^2=x^3-x^2-9x+14\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[]$ |
| 116.c2 |
116c1 |
116.c |
116c |
$2$ |
$2$ |
\( 2^{2} \cdot 29 \) |
\( - 2^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.37 |
2B |
$232$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15$ |
$-0.295990$ |
$-35152/841$ |
$0.85096$ |
$4.15652$ |
$[0, -1, 0, -4, 24]$ |
\(y^2=x^3-x^2-4x+24\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 116.12.0.?, 232.48.0.? |
$[]$ |
