| 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 |
| 5780.a1 |
5780f1 |
5780.a |
5780f |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25704$ |
$1.432142$ |
$8912896/5$ |
$0.97434$ |
$5.10426$ |
$[0, 1, 0, -52405, -4632777]$ |
\(y^2=x^3+x^2-52405x-4632777\) |
10.2.0.a.1 |
$[]$ |
| 5780.b1 |
5780b1 |
5780.b |
5780b |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{5} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$120$ |
$6$ |
$4.345916682$ |
$1$ |
|
$2$ |
$18360$ |
$1.756685$ |
$30081024/3125$ |
$1.04213$ |
$5.24468$ |
$[0, 0, 0, -78608, -7683932]$ |
\(y^2=x^3-78608x-7683932\) |
5.5.0.a.1, 10.30.0.a.1, 20.120.6.a.1 |
$[(-144, 806)]$ |
| 5780.c1 |
5780c1 |
5780.c |
5780c |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{5} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$10$ |
$30$ |
$0$ |
$0.216548272$ |
$1$ |
|
$4$ |
$1080$ |
$0.340078$ |
$30081024/3125$ |
$1.04213$ |
$3.28221$ |
$[0, 0, 0, -272, -1564]$ |
\(y^2=x^3-272x-1564\) |
5.5.0.a.1, 10.30.0.a.1, 20.120.6.a.1 |
$[(-8, 10)]$ |
| 5780.d1 |
5780d1 |
5780.d |
5780d |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$2.496921041$ |
$1$ |
|
$5$ |
$6912$ |
$0.965061$ |
$151732224/85$ |
$1.02320$ |
$4.45726$ |
$[0, 0, 0, -8092, 280041]$ |
\(y^2=x^3-8092x+280041\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 136.12.0.?, 170.6.0.?, $\ldots$ |
$[(50, 21)]$ |
| 5780.d2 |
5780d2 |
5780.d |
5780d |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$1.248460520$ |
$1$ |
|
$7$ |
$13824$ |
$1.311634$ |
$-5256144/7225$ |
$0.89008$ |
$4.52957$ |
$[0, 0, 0, -6647, 383214]$ |
\(y^2=x^3-6647x+383214\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 136.12.0.?, 340.12.0.?, $\ldots$ |
$[(-85, 578)]$ |
| 5780.e1 |
5780a1 |
5780.e |
5780a |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1512$ |
$0.015536$ |
$8912896/5$ |
$0.97434$ |
$3.14178$ |
$[0, -1, 0, -181, -879]$ |
\(y^2=x^3-x^2-181x-879\) |
10.2.0.a.1 |
$[]$ |
| 5780.f1 |
5780e3 |
5780.f |
5780e |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$7.965365697$ |
$1$ |
|
$1$ |
$6912$ |
$1.035963$ |
$488095744/125$ |
$1.07376$ |
$4.59215$ |
$[0, -1, 0, -11945, -498418]$ |
\(y^2=x^3-x^2-11945x-498418\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(-10622/13, 23028/13)]$ |
| 5780.f2 |
5780e4 |
5780.f |
5780e |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$3.982682848$ |
$1$ |
|
$1$ |
$13824$ |
$1.382536$ |
$-20720464/15625$ |
$0.95894$ |
$4.64380$ |
$[0, -1, 0, -10500, -625000]$ |
\(y^2=x^3-x^2-10500x-625000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(653/2, 11271/2)]$ |
| 5780.f3 |
5780e1 |
5780.f |
5780e |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$2.655121899$ |
$1$ |
|
$3$ |
$2304$ |
$0.486657$ |
$16384/5$ |
$0.95621$ |
$3.40284$ |
$[0, -1, 0, -385, 2130]$ |
\(y^2=x^3-x^2-385x+2130\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(-3, 57)]$ |
| 5780.f4 |
5780e2 |
5780.f |
5780e |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$1.327560949$ |
$1$ |
|
$3$ |
$4608$ |
$0.833230$ |
$21296/25$ |
$0.83964$ |
$3.75644$ |
$[0, -1, 0, 1060, 13112]$ |
\(y^2=x^3-x^2+1060x+13112\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(142, 1734)]$ |
