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 |
379050.b1 |
379050b1 |
379050.b |
379050b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{9} \cdot 7^{5} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$6.093100546$ |
$1$ |
|
$2$ |
$4838400$ |
$1.923719$ |
$576500549021/58084992$ |
$0.93456$ |
$3.69424$ |
$[1, 1, 0, -154325, 21142125]$ |
\(y^2+xy=x^3+x^2-154325x+21142125\) |
840.2.0.? |
$[(-71, 5670)]$ |
379050.bd1 |
379050bd1 |
379050.bd |
379050bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{3} \cdot 7^{5} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$0.871613167$ |
$1$ |
|
$4$ |
$18385920$ |
$2.591221$ |
$576500549021/58084992$ |
$0.93456$ |
$4.31781$ |
$[1, 1, 0, -2228460, -1164567600]$ |
\(y^2+xy=x^3+x^2-2228460x-1164567600\) |
840.2.0.? |
$[(1955, 43245)]$ |
379050.hw1 |
379050hw1 |
379050.hw |
379050hw |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{9} \cdot 7^{5} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$91929600$ |
$3.395939$ |
$576500549021/58084992$ |
$0.93456$ |
$5.06956$ |
$[1, 0, 0, -55711513, -145459526983]$ |
\(y^2+xy=x^3-55711513x-145459526983\) |
840.2.0.? |
$[]$ |
379050.ix1 |
379050ix1 |
379050.ix |
379050ix |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{7} \cdot 3^{3} \cdot 5^{3} \cdot 7^{5} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$0.169248353$ |
$1$ |
|
$22$ |
$967680$ |
$1.119001$ |
$576500549021/58084992$ |
$0.93456$ |
$2.94248$ |
$[1, 0, 0, -6173, 169137]$ |
\(y^2+xy=x^3-6173x+169137\) |
840.2.0.? |
$[(142, 1399), (-68, 559)]$ |