| 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 |
| 3971.a1 |
3971a1 |
3971.a |
3971a |
$2$ |
$3$ |
\( 11 \cdot 19^{2} \) |
\( - 11^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1254$ |
$16$ |
$0$ |
$0.949899274$ |
$1$ |
|
$4$ |
$8640$ |
$1.283804$ |
$-2258403328/480491$ |
$0.89836$ |
$4.76876$ |
$[0, -1, 1, -9867, -437910]$ |
\(y^2+y=x^3-x^2-9867x-437910\) |
3.4.0.a.1, 22.2.0.a.1, 57.8.0-3.a.1.1, 66.8.0.a.1, 1254.16.0.? |
$[(184, 1985)]$ |
| 3971.a2 |
3971a2 |
3971.a |
3971a |
$2$ |
$3$ |
\( 11 \cdot 19^{2} \) |
\( - 11 \cdot 19^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1254$ |
$16$ |
$0$ |
$2.849697823$ |
$1$ |
|
$2$ |
$25920$ |
$1.833109$ |
$790939860992/517504691$ |
$1.13574$ |
$5.43796$ |
$[0, -1, 1, 69553, 2528427]$ |
\(y^2+y=x^3-x^2+69553x+2528427\) |
3.4.0.a.1, 22.2.0.a.1, 57.8.0-3.a.1.2, 66.8.0.a.1, 1254.16.0.? |
$[(89, 3068)]$ |
| 3971.b1 |
3971b3 |
3971.b |
3971b |
$3$ |
$25$ |
\( 11 \cdot 19^{2} \) |
\( - 11 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$10450$ |
$1200$ |
$37$ |
$5.612837583$ |
$1$ |
|
$0$ |
$36000$ |
$1.968929$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.77872$ |
$[0, 1, 1, -2823140, 1824832093]$ |
\(y^2+y=x^3+x^2-2823140x+1824832093\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 95.24.0.?, 110.24.1.?, $\ldots$ |
$[(95429/10, 830883/10)]$ |
| 3971.b2 |
3971b2 |
3971.b |
3971b |
$3$ |
$25$ |
\( 11 \cdot 19^{2} \) |
\( - 11^{5} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$10450$ |
$1200$ |
$37$ |
$1.122567516$ |
$1$ |
|
$0$ |
$7200$ |
$1.164209$ |
$-122023936/161051$ |
$1.01300$ |
$4.52220$ |
$[0, 1, 1, -3730, 157593]$ |
\(y^2+y=x^3+x^2-3730x+157593\) |
5.60.0.a.1, 22.2.0.a.1, 95.120.0.?, 110.120.5.?, 275.300.12.?, $\ldots$ |
$[(-147/2, 3967/2)]$ |
| 3971.b3 |
3971b1 |
3971.b |
3971b |
$3$ |
$25$ |
\( 11 \cdot 19^{2} \) |
\( - 11 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$10450$ |
$1200$ |
$37$ |
$5.612837583$ |
$1$ |
|
$0$ |
$1440$ |
$0.359491$ |
$-4096/11$ |
$0.82546$ |
$3.34441$ |
$[0, 1, 1, -120, -1247]$ |
\(y^2+y=x^3+x^2-120x-1247\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 95.24.0.?, 110.24.1.?, $\ldots$ |
$[(5173/2, 372187/2)]$ |
