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 |
188760.bh1 |
188760x1 |
188760.bh |
188760x |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.407005621$ |
$1$ |
|
$4$ |
$430080$ |
$1.304888$ |
$-2313389056/1561572675$ |
$0.99154$ |
$3.20750$ |
$[0, -1, 0, -865, -334475]$ |
\(y^2=x^3-x^2-865x-334475\) |
6.2.0.a.1 |
$[(75, 130)]$ |
188760.bm1 |
188760ch1 |
188760.bm |
188760ch |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{8} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.850995450$ |
$1$ |
|
$4$ |
$4730880$ |
$2.503838$ |
$-2313389056/1561572675$ |
$0.99154$ |
$4.39182$ |
$[0, -1, 0, -104705, 445604997]$ |
\(y^2=x^3-x^2-104705x+445604997\) |
6.2.0.a.1 |
$[(3469, 204490)]$ |
377520.gt1 |
377520gt1 |
377520.gt |
377520gt |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{8} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9461760$ |
$2.503838$ |
$-2313389056/1561572675$ |
$0.99154$ |
$4.15476$ |
$[0, 1, 0, -104705, -445604997]$ |
\(y^2=x^3+x^2-104705x-445604997\) |
6.2.0.a.1 |
$[]$ |
377520.hf1 |
377520hf1 |
377520.hf |
377520hf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.411453781$ |
$1$ |
|
$4$ |
$860160$ |
$1.304888$ |
$-2313389056/1561572675$ |
$0.99154$ |
$3.03437$ |
$[0, 1, 0, -865, 334475]$ |
\(y^2=x^3+x^2-865x+334475\) |
6.2.0.a.1 |
$[(-10, 585)]$ |