| 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.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 |
$[]$ |
| 23120.d1 |
23120t1 |
23120.d |
23120t |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.846863865$ |
$1$ |
|
$10$ |
$6048$ |
$0.015536$ |
$8912896/5$ |
$0.97434$ |
$2.70834$ |
$[0, 1, 0, -181, 879]$ |
\(y^2=x^3+x^2-181x+879\) |
10.2.0.a.1 |
$[(7, 2), (15, 42)]$ |
| 23120.bl1 |
23120bo1 |
23120.bl |
23120bo |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$102816$ |
$1.432142$ |
$8912896/5$ |
$0.97434$ |
$4.40007$ |
$[0, -1, 0, -52405, 4632777]$ |
\(y^2=x^3-x^2-52405x+4632777\) |
10.2.0.a.1 |
$[]$ |
| 28900.a1 |
28900e1 |
28900.a |
28900e |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36288$ |
$0.820255$ |
$8912896/5$ |
$0.97434$ |
$3.58963$ |
$[0, 1, 0, -4533, -118937]$ |
\(y^2=x^3+x^2-4533x-118937\) |
10.2.0.a.1 |
$[]$ |
| 28900.l1 |
28900g1 |
28900.l |
28900g |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$4.563367483$ |
$1$ |
|
$0$ |
$616896$ |
$2.236862$ |
$8912896/5$ |
$0.97434$ |
$5.24461$ |
$[0, -1, 0, -1310133, -576476863]$ |
\(y^2=x^3-x^2-1310133x-576476863\) |
10.2.0.a.1 |
$[(-96767/12, 223975/12)]$ |
| 52020.g1 |
52020z1 |
52020.g |
52020z |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$616896$ |
$1.981449$ |
$8912896/5$ |
$0.97434$ |
$4.67849$ |
$[0, 0, 0, -471648, 124613332]$ |
\(y^2=x^3-471648x+124613332\) |
10.2.0.a.1 |
$[]$ |
| 52020.bg1 |
52020bd1 |
52020.bg |
52020bd |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36288$ |
$0.564842$ |
$8912896/5$ |
$0.97434$ |
$3.11309$ |
$[0, 0, 0, -1632, 25364]$ |
\(y^2=x^3-1632x+25364\) |
10.2.0.a.1 |
$[]$ |
| 92480.t1 |
92480ds1 |
92480.t |
92480ds |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 5 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$5.948481801$ |
$1$ |
|
$0$ |
$822528$ |
$1.778717$ |
$8912896/5$ |
$0.97434$ |
$4.23033$ |
$[0, 1, 0, -209621, 36852595]$ |
\(y^2=x^3+x^2-209621x+36852595\) |
10.2.0.a.1 |
$[(1021/2, 1643/2)]$ |
| 92480.bf1 |
92480cd1 |
92480.bf |
92480cd |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.362110$ |
$8912896/5$ |
$0.97434$ |
$2.74370$ |
$[0, 1, 0, -725, -7757]$ |
\(y^2=x^3+x^2-725x-7757\) |
10.2.0.a.1 |
$[]$ |
| 92480.dk1 |
92480bn1 |
92480.dk |
92480bn |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 5 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$822528$ |
$1.778717$ |
$8912896/5$ |
$0.97434$ |
$4.23033$ |
$[0, -1, 0, -209621, -36852595]$ |
\(y^2=x^3-x^2-209621x-36852595\) |
10.2.0.a.1 |
$[]$ |
| 92480.dz1 |
92480ec1 |
92480.dz |
92480ec |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 5 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$4.934432271$ |
$1$ |
|
$0$ |
$48384$ |
$0.362110$ |
$8912896/5$ |
$0.97434$ |
$2.74370$ |
$[0, -1, 0, -725, 7757]$ |
\(y^2=x^3-x^2-725x+7757\) |
10.2.0.a.1 |
$[(217/4, 981/4)]$ |
| 115600.j1 |
115600cl1 |
115600.j |
115600cl |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.406142575$ |
$1$ |
|
$6$ |
$2467584$ |
$2.236862$ |
$8912896/5$ |
$0.97434$ |
$4.62095$ |
$[0, 1, 0, -1310133, 576476863]$ |
\(y^2=x^3+x^2-1310133x+576476863\) |
10.2.0.a.1 |
$[(963, 14450)]$ |
| 115600.cy1 |
115600bv1 |
115600.cy |
115600bv |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$3.037646168$ |
$1$ |
|
$6$ |
$145152$ |
$0.820255$ |
$8912896/5$ |
$0.97434$ |
$3.16277$ |
$[0, -1, 0, -4533, 118937]$ |
\(y^2=x^3-x^2-4533x+118937\) |
10.2.0.a.1 |
$[(32, 75), (41, 18)]$ |
| 208080.cs1 |
208080co1 |
208080.cs |
208080co |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2467584$ |
$1.981449$ |
$8912896/5$ |
$0.97434$ |
$4.14886$ |
$[0, 0, 0, -471648, -124613332]$ |
\(y^2=x^3-471648x-124613332\) |
10.2.0.a.1 |
$[]$ |
| 208080.eu1 |
208080n1 |
208080.eu |
208080n |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$0.564842$ |
$8912896/5$ |
$0.97434$ |
$2.76067$ |
$[0, 0, 0, -1632, -25364]$ |
\(y^2=x^3-1632x-25364\) |
10.2.0.a.1 |
$[]$ |
| 260100.w1 |
260100w1 |
260100.w |
260100w |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.298517422$ |
$1$ |
|
$8$ |
$870912$ |
$1.369560$ |
$8912896/5$ |
$0.97434$ |
$3.48573$ |
$[0, 0, 0, -40800, 3170500]$ |
\(y^2=x^3-40800x+3170500\) |
10.2.0.a.1 |
$[(140, 450)]$ |
| 260100.dj1 |
260100dj1 |
260100.dj |
260100dj |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14805504$ |
$2.786167$ |
$8912896/5$ |
$0.97434$ |
$4.84907$ |
$[0, 0, 0, -11791200, 15576666500]$ |
\(y^2=x^3-11791200x+15576666500\) |
10.2.0.a.1 |
$[]$ |
| 283220.j1 |
283220j1 |
283220.j |
283220j |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 7^{6} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.606784974$ |
$1$ |
|
$10$ |
$544320$ |
$0.988491$ |
$8912896/5$ |
$0.97434$ |
$3.09783$ |
$[0, 1, 0, -8885, 319255]$ |
\(y^2=x^3+x^2-8885x+319255\) |
10.2.0.a.1 |
$[(58, 49), (9, 490)]$ |
| 283220.bo1 |
283220bo1 |
283220.bo |
283220bo |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 7^{6} \cdot 17^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$3.535813430$ |
$1$ |
|
$4$ |
$9253440$ |
$2.405098$ |
$8912896/5$ |
$0.97434$ |
$4.45192$ |
$[0, -1, 0, -2567861, 1583906801]$ |
\(y^2=x^3-x^2-2567861x+1583906801\) |
10.2.0.a.1 |
$[(8095/3, 28322/3), (943, 294)]$ |
| 462400.ca1 |
462400ca1 |
462400.ca |
462400ca |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19740672$ |
$2.583435$ |
$8912896/5$ |
$0.97434$ |
$4.44868$ |
$[0, 1, 0, -5240533, -4617055437]$ |
\(y^2=x^3+x^2-5240533x-4617055437\) |
10.2.0.a.1 |
$[]$ |
| 462400.cb1 |
462400cb1 |
462400.cb |
462400cb |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{7} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$1.166828$ |
$8912896/5$ |
$0.97434$ |
$3.14547$ |
$[0, 1, 0, -18133, 933363]$ |
\(y^2=x^3+x^2-18133x+933363\) |
10.2.0.a.1 |
$[]$ |
| 462400.hl1 |
462400hl1 |
462400.hl |
462400hl |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$6.195337070$ |
$1$ |
|
$0$ |
$1161216$ |
$1.166828$ |
$8912896/5$ |
$0.97434$ |
$3.14547$ |
$[0, -1, 0, -18133, -933363]$ |
\(y^2=x^3-x^2-18133x-933363\) |
10.2.0.a.1 |
$[(-10967/12, 16525/12)]$ |
| 462400.hm1 |
462400hm1 |
462400.hm |
462400hm |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$7.994786678$ |
$1$ |
|
$0$ |
$19740672$ |
$2.583435$ |
$8912896/5$ |
$0.97434$ |
$4.44868$ |
$[0, -1, 0, -5240533, 4617055437]$ |
\(y^2=x^3-x^2-5240533x+4617055437\) |
10.2.0.a.1 |
$[(1865013/38, 65176725/38)]$ |
