| 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 |
Manin constant |
| 477950.d1 |
477950d1 |
477950.d |
477950d |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \) |
\( 2^{9} \cdot 5^{2} \cdot 11^{4} \cdot 79^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$933120$ |
$1.023561$ |
$11776390945/3195392$ |
$0.85755$ |
$2.75286$ |
$[1, 0, 1, -3391, -55662]$ |
\(y^2+xy+y=x^3-3391x-55662\) |
8.2.0.b.1 |
$[ ]$ |
$1$ |
| 477950.bo1 |
477950bo1 |
477950.bo |
477950bo |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \) |
\( 2^{9} \cdot 5^{8} \cdot 11^{10} \cdot 79^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51321600$ |
$3.027229$ |
$11776390945/3195392$ |
$0.85755$ |
$4.59147$ |
$[1, 1, 0, -10256325, 9209442125]$ |
\(y^2+xy=x^3+x^2-10256325x+9209442125\) |
8.2.0.b.1 |
$[ ]$ |
$1$ |
| 477950.cb1 |
477950cb1 |
477950.cb |
477950cb |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \) |
\( 2^{9} \cdot 5^{2} \cdot 11^{10} \cdot 79^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10264320$ |
$2.222507$ |
$11776390945/3195392$ |
$0.85755$ |
$3.85304$ |
$[1, 0, 0, -410253, 73675537]$ |
\(y^2+xy=x^3-410253x+73675537\) |
8.2.0.b.1 |
$[ ]$ |
$1$ |
| 477950.dk1 |
477950dk1 |
477950.dk |
477950dk |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \) |
\( 2^{9} \cdot 5^{8} \cdot 11^{4} \cdot 79^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4665600$ |
$1.828279$ |
$11776390945/3195392$ |
$0.85755$ |
$3.49129$ |
$[1, 1, 1, -84763, -6957719]$ |
\(y^2+xy+y=x^3+x^2-84763x-6957719\) |
8.2.0.b.1 |
$[ ]$ |
$1$ |