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 |
73689.c1 |
73689p1 |
73689.c |
73689p |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{2} \cdot 7^{3} \cdot 11^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$0.359033322$ |
$1$ |
|
$6$ |
$13824$ |
$0.034150$ |
$42568823/89523$ |
$0.79142$ |
$2.08170$ |
$[1, 1, 1, 36, -120]$ |
\(y^2+xy+y=x^3+x^2+36x-120\) |
406.2.0.? |
$[(4, 8)]$ |
73689.q1 |
73689h1 |
73689.q |
73689h |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{2} \cdot 7^{3} \cdot 11^{8} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.011145364$ |
$1$ |
|
$2$ |
$152064$ |
$1.233097$ |
$42568823/89523$ |
$0.79142$ |
$3.36542$ |
$[1, 1, 0, 4354, 181251]$ |
\(y^2+xy=x^3+x^2+4354x+181251\) |
406.2.0.? |
$[(50, 701)]$ |
221067.i1 |
221067j1 |
221067.i |
221067j |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{8} \cdot 7^{3} \cdot 11^{8} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$4.003577878$ |
$1$ |
|
$2$ |
$1216512$ |
$1.782404$ |
$42568823/89523$ |
$0.79142$ |
$3.60062$ |
$[1, -1, 1, 39181, -4854594]$ |
\(y^2+xy+y=x^3-x^2+39181x-4854594\) |
406.2.0.? |
$[(128, 1434)]$ |
221067.bj1 |
221067bg1 |
221067.bj |
221067bg |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{8} \cdot 7^{3} \cdot 11^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.194934375$ |
$1$ |
|
$2$ |
$110592$ |
$0.583456$ |
$42568823/89523$ |
$0.79142$ |
$2.43150$ |
$[1, -1, 0, 324, 3559]$ |
\(y^2+xy=x^3-x^2+324x+3559\) |
406.2.0.? |
$[(50, 353)]$ |