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 |
75810.bl1 |
75810bp1 |
75810.bl |
75810bp |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 5 \cdot 7 \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17926272$ |
$3.382504$ |
$-3119627664954721/228562145280$ |
$0.99106$ |
$5.80635$ |
$[1, 0, 1, -55714943, 169894491986]$ |
\(y^2+xy+y=x^3-55714943x+169894491986\) |
420.2.0.? |
$[]$ |
75810.ci1 |
75810ck1 |
75810.ci |
75810ck |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 5 \cdot 7 \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$5.908934021$ |
$1$ |
|
$2$ |
$943488$ |
$1.910286$ |
$-3119627664954721/228562145280$ |
$0.99106$ |
$4.23403$ |
$[1, 1, 1, -154335, -24834555]$ |
\(y^2+xy+y=x^3+x^2-154335x-24834555\) |
420.2.0.? |
$[(465, 1820)]$ |
227430.q1 |
227430fj1 |
227430.q |
227430fj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{19} \cdot 5 \cdot 7 \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7547904$ |
$2.459591$ |
$-3119627664954721/228562145280$ |
$0.99106$ |
$4.39132$ |
$[1, -1, 0, -1389015, 669143965]$ |
\(y^2+xy=x^3-x^2-1389015x+669143965\) |
420.2.0.? |
$[]$ |
227430.dx1 |
227430cd1 |
227430.dx |
227430cd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{19} \cdot 5 \cdot 7 \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$143410176$ |
$3.931812$ |
$-3119627664954721/228562145280$ |
$0.99106$ |
$5.82360$ |
$[1, -1, 1, -501434483, -4587151283629]$ |
\(y^2+xy+y=x^3-x^2-501434483x-4587151283629\) |
420.2.0.? |
$[]$ |
379050.dy1 |
379050dy1 |
379050.dy |
379050dy |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 5^{7} \cdot 7 \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1.038641241$ |
$1$ |
|
$4$ |
$22643712$ |
$2.715004$ |
$-3119627664954721/228562145280$ |
$0.99106$ |
$4.45529$ |
$[1, 0, 1, -3858376, -3096602602]$ |
\(y^2+xy+y=x^3-3858376x-3096602602\) |
420.2.0.? |
$[(3817, 192491)]$ |
379050.gs1 |
379050gs1 |
379050.gs |
379050gs |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 5^{7} \cdot 7 \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430230528$ |
$4.187225$ |
$-3119627664954721/228562145280$ |
$0.99106$ |
$5.83061$ |
$[1, 1, 1, -1392873563, 21236811498281]$ |
\(y^2+xy+y=x^3+x^2-1392873563x+21236811498281\) |
420.2.0.? |
$[]$ |