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 |
350350.s1 |
350350s1 |
350350.s |
350350s |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 5^{8} \cdot 7^{10} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14031360$ |
$2.449238$ |
$1680455/402688$ |
$0.86887$ |
$4.12737$ |
$[1, 0, 1, 118799, 320332548]$ |
\(y^2+xy+y=x^3+118799x+320332548\) |
52.2.0.a.1 |
$[ ]$ |
350350.dk1 |
350350dk1 |
350350.dk |
350350dk |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 5^{8} \cdot 7^{4} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2004480$ |
$1.476284$ |
$1680455/402688$ |
$0.86887$ |
$3.21284$ |
$[1, 1, 0, 2425, -932875]$ |
\(y^2+xy=x^3+x^2+2425x-932875\) |
52.2.0.a.1 |
$[ ]$ |
350350.eh1 |
350350eh1 |
350350.eh |
350350eh |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.287574010$ |
$1$ |
|
$8$ |
$400896$ |
$0.671565$ |
$1680455/402688$ |
$0.86887$ |
$2.45645$ |
$[1, 0, 0, 97, -7463]$ |
\(y^2+xy=x^3+97x-7463\) |
52.2.0.a.1 |
$[(46, 285)]$ |
350350.gw1 |
350350gw1 |
350350.gw |
350350gw |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 5^{2} \cdot 7^{10} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$3.592548047$ |
$1$ |
|
$2$ |
$2806272$ |
$1.644520$ |
$1680455/402688$ |
$0.86887$ |
$3.37098$ |
$[1, 1, 1, 4752, 2564561]$ |
\(y^2+xy+y=x^3+x^2+4752x+2564561\) |
52.2.0.a.1 |
$[(-81, 1327)]$ |