| 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 |
| 1717.a1 |
1717c2 |
1717.a |
1717c |
$2$ |
$5$ |
\( 17 \cdot 101 \) |
\( 17 \cdot 101^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$17170$ |
$48$ |
$1$ |
$0.526159975$ |
$1$ |
|
$6$ |
$7800$ |
$1.209288$ |
$2420007089713278976/178671708517$ |
$0.96239$ |
$5.68319$ |
$[0, -1, 1, -27970, -1791068]$ |
\(y^2+y=x^3-x^2-27970x-1791068\) |
5.24.0-5.a.2.2, 3434.2.0.?, 17170.48.1.? |
$[(334, 5100)]$ |
| 1717.a2 |
1717c1 |
1717.a |
1717c |
$2$ |
$5$ |
\( 17 \cdot 101 \) |
\( 17^{5} \cdot 101 \) |
$1$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$17170$ |
$48$ |
$1$ |
$2.630799878$ |
$1$ |
|
$8$ |
$1560$ |
$0.404570$ |
$23927707242496/143405557$ |
$0.93679$ |
$4.13597$ |
$[0, -1, 1, -600, 5832]$ |
\(y^2+y=x^3-x^2-600x+5832\) |
5.24.0-5.a.1.2, 3434.2.0.?, 17170.48.1.? |
$[(19, 30)]$ |
| 1717.b1 |
1717b1 |
1717.b |
1717b |
$1$ |
$1$ |
\( 17 \cdot 101 \) |
\( 17 \cdot 101 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3434$ |
$2$ |
$0$ |
$0.334941075$ |
$1$ |
|
$14$ |
$104$ |
$-0.661885$ |
$8998912/1717$ |
$0.67612$ |
$2.14982$ |
$[0, -1, 1, -4, 4]$ |
\(y^2+y=x^3-x^2-4x+4\) |
3434.2.0.? |
$[(1, 0), (2, 0)]$ |
| 1717.c1 |
1717a2 |
1717.c |
1717a |
$2$ |
$3$ |
\( 17 \cdot 101 \) |
\( 17^{3} \cdot 101 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$10302$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$984$ |
$0.656033$ |
$40650809135104000/496213$ |
$0.95839$ |
$5.13454$ |
$[0, 1, 1, -7163, -235745]$ |
\(y^2+y=x^3+x^2-7163x-235745\) |
3.8.0-3.a.1.1, 3434.2.0.?, 10302.16.0.? |
$[]$ |
| 1717.c2 |
1717a1 |
1717.c |
1717a |
$2$ |
$3$ |
\( 17 \cdot 101 \) |
\( 17 \cdot 101^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$10302$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$328$ |
$0.106726$ |
$89915392000/17515117$ |
$0.91097$ |
$3.38628$ |
$[0, 1, 1, -93, -314]$ |
\(y^2+y=x^3+x^2-93x-314\) |
3.8.0-3.a.1.2, 3434.2.0.?, 10302.16.0.? |
$[]$ |
