| 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 |
| 350350.a1 |
350350a1 |
350350.a |
350350a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{26} \cdot 5^{2} \cdot 7^{10} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$124.7257518$ |
$1$ |
|
$0$ |
$1168981632$ |
$4.531952$ |
$-117463704966052899285072465/2057109481887629312$ |
$1.04856$ |
$6.47828$ |
$[1, -1, 0, -19574926072, -1054151095634624]$ |
\(y^2+xy=x^3-x^2-19574926072x-1054151095634624\) |
286.2.0.? |
$[(88843651098876283586635377684016379410326240320559666608/23424898113175252603128809, 57637830284910826277040453809632793883736028121851362470230389838660646150439627112/23424898113175252603128809)]$ |
| 350350.dq1 |
350350dq1 |
350350.dq |
350350dq |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{26} \cdot 5^{2} \cdot 7^{4} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$19.77389601$ |
$1$ |
|
$0$ |
$166997376$ |
$3.558994$ |
$-117463704966052899285072465/2057109481887629312$ |
$1.04856$ |
$5.56375$ |
$[1, -1, 0, -399488287, 3073440948941]$ |
\(y^2+xy=x^3-x^2-399488287x+3073440948941\) |
286.2.0.? |
$[(730497965086/7905, 11347458319995601/7905)]$ |
| 350350.dw1 |
350350dw1 |
350350.dw |
350350dw |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{26} \cdot 5^{8} \cdot 7^{4} \cdot 11^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$834986880$ |
$4.363716$ |
$-117463704966052899285072465/2057109481887629312$ |
$1.04856$ |
$6.32015$ |
$[1, -1, 1, -9987207180, 384170131410447]$ |
\(y^2+xy+y=x^3-x^2-9987207180x+384170131410447\) |
286.2.0.? |
$[ ]$ |
| 350350.hc1 |
350350hc1 |
350350.hc |
350350hc |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{26} \cdot 5^{8} \cdot 7^{10} \cdot 11^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1$ |
$169$ |
$13$ |
$0$ |
$5844908160$ |
$5.336670$ |
$-117463704966052899285072465/2057109481887629312$ |
$1.04856$ |
$7.23467$ |
$[1, -1, 1, -489373151805, -131769376327479803]$ |
\(y^2+xy+y=x^3-x^2-489373151805x-131769376327479803\) |
286.2.0.? |
$[ ]$ |
