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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
379050.m1 |
379050m1 |
379050.m |
379050m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9849600$ |
$2.403336$ |
$-1155865/3528$ |
$[1, 1, 0, -410825, 253702125]$ |
\(y^2+xy=x^3+x^2-410825x+253702125\) |
8.2.0.a.1 |
$[]$ |
379050.bo1 |
379050bo1 |
379050.bo |
379050bo |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.141459139$ |
$1$ |
|
$4$ |
$103680$ |
$0.126396$ |
$-1155865/3528$ |
$[1, 1, 0, -45, -315]$ |
\(y^2+xy=x^3+x^2-45x-315\) |
8.2.0.a.1 |
$[(9, 6)]$ |
379050.ih1 |
379050ih1 |
379050.ih |
379050ih |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.725474514$ |
$1$ |
|
$2$ |
$518400$ |
$0.931115$ |
$-1155865/3528$ |
$[1, 0, 0, -1138, -37108]$ |
\(y^2+xy=x^3-1138x-37108\) |
8.2.0.a.1 |
$[(278, 4460)]$ |
379050.jm1 |
379050jm1 |
379050.jm |
379050jm |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1969920$ |
$1.598616$ |
$-1155865/3528$ |
$[1, 0, 0, -16433, 2029617]$ |
\(y^2+xy=x^3-16433x+2029617\) |
8.2.0.a.1 |
$[]$ |