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 |
102921.g1 |
102921h1 |
102921.g |
102921h |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{10} \cdot 7^{4} \cdot 13^{4} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$0.825029737$ |
$1$ |
|
$4$ |
$261120$ |
$1.391891$ |
$7990463463424/4111522821$ |
$0.97997$ |
$3.46301$ |
$[0, -1, 1, -12731, 188333]$ |
\(y^2+y=x^3-x^2-12731x+188333\) |
58.2.0.a.1 |
$[(-73, 850)]$ |
102921.h1 |
102921d1 |
102921.h |
102921d |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{10} \cdot 7^{4} \cdot 13^{10} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3394560$ |
$2.674366$ |
$7990463463424/4111522821$ |
$0.97997$ |
$4.79641$ |
$[0, -1, 1, -2151595, 405161850]$ |
\(y^2+y=x^3-x^2-2151595x+405161850\) |
58.2.0.a.1 |
$[]$ |
308763.l1 |
308763l1 |
308763.l |
308763l |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{16} \cdot 7^{4} \cdot 13^{10} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27156480$ |
$3.223671$ |
$7990463463424/4111522821$ |
$0.97997$ |
$4.90101$ |
$[0, 0, 1, -19364358, -10920005600]$ |
\(y^2+y=x^3-19364358x-10920005600\) |
58.2.0.a.1 |
$[]$ |
308763.q1 |
308763q1 |
308763.q |
308763q |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{16} \cdot 7^{4} \cdot 13^{4} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$3.250544660$ |
$1$ |
|
$2$ |
$2088960$ |
$1.941198$ |
$7990463463424/4111522821$ |
$0.97997$ |
$3.68351$ |
$[0, 0, 1, -114582, -4970417]$ |
\(y^2+y=x^3-114582x-4970417\) |
58.2.0.a.1 |
$[(-53, 976)]$ |