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 |
409101.e1 |
409101e1 |
409101.e |
409101e |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{4} \cdot 11^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5464800$ |
$2.172878$ |
$1268071343/2956581$ |
$1.03298$ |
$3.79483$ |
$[1, 1, 1, 180711, -51384684]$ |
\(y^2+xy+y=x^3+x^2+180711x-51384684\) |
276.2.0.? |
$[]$ |
409101.q1 |
409101q1 |
409101.q |
409101q |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{10} \cdot 11^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38253600$ |
$3.145832$ |
$1268071343/2956581$ |
$1.03298$ |
$4.69839$ |
$[1, 0, 0, 8854838, 17651511065]$ |
\(y^2+xy=x^3+8854838x+17651511065\) |
276.2.0.? |
$[]$ |
409101.bg1 |
409101bg1 |
409101.bg |
409101bg |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{4} \cdot 11^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$496800$ |
$0.973931$ |
$1268071343/2956581$ |
$1.03298$ |
$2.68141$ |
$[1, 1, 0, 1494, 39285]$ |
\(y^2+xy=x^3+x^2+1494x+39285\) |
276.2.0.? |
$[]$ |
409101.by1 |
409101by1 |
409101.by |
409101by |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{10} \cdot 11^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3477600$ |
$1.946886$ |
$1268071343/2956581$ |
$1.03298$ |
$3.58496$ |
$[1, 0, 1, 73180, -13255189]$ |
\(y^2+xy+y=x^3+73180x-13255189\) |
276.2.0.? |
$[]$ |