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 |
380926.i1 |
380926i1 |
380926.i |
380926i |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$8372$ |
$12$ |
$0$ |
$0.579879076$ |
$1$ |
|
$4$ |
$124416$ |
$0.458206$ |
$16941416401/8464$ |
$0.85456$ |
$2.53493$ |
$[1, 1, 0, -1082, 13252]$ |
\(y^2+xy=x^3+x^2-1082x+13252\) |
2.2.0.a.1, 182.6.0.?, 8372.12.0.? |
$[(17, 3)]$ |
380926.t1 |
380926t1 |
380926.t |
380926t |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 7^{8} \cdot 13^{2} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$8372$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$870912$ |
$1.431162$ |
$16941416401/8464$ |
$0.85456$ |
$3.44350$ |
$[1, 0, 1, -53044, -4704542]$ |
\(y^2+xy+y=x^3-53044x-4704542\) |
2.2.0.a.1, 182.6.0.?, 1196.4.0.?, 8372.12.0.? |
$[]$ |
380926.bm1 |
380926bm1 |
380926.bm |
380926bm |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 7^{2} \cdot 13^{8} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$8372$ |
$12$ |
$0$ |
$1.399310904$ |
$1$ |
|
$8$ |
$1617408$ |
$1.740681$ |
$16941416401/8464$ |
$0.85456$ |
$3.73254$ |
$[1, 1, 1, -182946, 30029215]$ |
\(y^2+xy+y=x^3+x^2-182946x+30029215\) |
2.2.0.a.1, 182.6.0.?, 644.4.0.?, 8372.12.0.? |
$[(239, 49), (3317/4, 59413/4)]$ |
380926.cc1 |
380926cc1 |
380926.cc |
380926cc |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 7^{8} \cdot 13^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$8372$ |
$12$ |
$0$ |
$7.474121636$ |
$1$ |
|
$2$ |
$11321856$ |
$2.713634$ |
$16941416401/8464$ |
$0.85456$ |
$4.64111$ |
$[1, 0, 0, -8964355, -10326913871]$ |
\(y^2+xy=x^3-8964355x-10326913871\) |
2.2.0.a.1, 92.4.0.?, 182.6.0.?, 8372.12.0.? |
$[(188556, 81772129)]$ |