| 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 |
| 37570.i1 |
37570n1 |
37570.i |
37570n |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5 \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.635821992$ |
$1$ |
|
$4$ |
$19584$ |
$0.549522$ |
$-574468255729/2284880$ |
$0.89025$ |
$3.10899$ |
$[1, 1, 1, -1145, 14487]$ |
\(y^2+xy+y=x^3+x^2-1145x+14487\) |
20.2.0.a.1 |
$[(-15, 176)]$ |
| 37570.n1 |
37570i1 |
37570.n |
37570i |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5 \cdot 13^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$2.625770186$ |
$1$ |
|
$2$ |
$332928$ |
$1.966129$ |
$-574468255729/2284880$ |
$0.89025$ |
$4.72275$ |
$[1, 0, 0, -330911, 73491881]$ |
\(y^2+xy=x^3-330911x+73491881\) |
20.2.0.a.1 |
$[(428, 2997)]$ |
| 187850.k1 |
187850bd1 |
187850.k |
187850bd |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{7} \cdot 13^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.621627574$ |
$1$ |
|
$4$ |
$7990272$ |
$2.770847$ |
$-574468255729/2284880$ |
$0.89025$ |
$4.89203$ |
$[1, 1, 0, -8272775, 9186485125]$ |
\(y^2+xy=x^3+x^2-8272775x+9186485125\) |
20.2.0.a.1 |
$[(1854, 14101)]$ |
| 187850.t1 |
187850bn1 |
187850.t |
187850bn |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{7} \cdot 13^{4} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.430095646$ |
$1$ |
|
$14$ |
$470016$ |
$1.354242$ |
$-574468255729/2284880$ |
$0.89025$ |
$3.49215$ |
$[1, 0, 1, -28626, 1868148]$ |
\(y^2+xy+y=x^3-28626x+1868148\) |
20.2.0.a.1 |
$[(57, 621), (1033/3, 6887/3)]$ |
| 300560.n1 |
300560n1 |
300560.n |
300560n |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{16} \cdot 5 \cdot 13^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$30.18675453$ |
$1$ |
|
$0$ |
$7990272$ |
$2.659275$ |
$-574468255729/2284880$ |
$0.89025$ |
$4.60360$ |
$[0, -1, 0, -5294576, -4703480384]$ |
\(y^2=x^3-x^2-5294576x-4703480384\) |
20.2.0.a.1 |
$[(284013869513202/195673, 4520857346617316892122/195673)]$ |
| 300560.bg1 |
300560bg1 |
300560.bg |
300560bg |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{16} \cdot 5 \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$9.033777118$ |
$1$ |
|
$0$ |
$470016$ |
$1.242670$ |
$-574468255729/2284880$ |
$0.89025$ |
$3.25588$ |
$[0, 1, 0, -18320, -963820]$ |
\(y^2=x^3+x^2-18320x-963820\) |
20.2.0.a.1 |
$[(151868/29, 31320094/29)]$ |
| 338130.w1 |
338130w1 |
338130.w |
338130w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5 \cdot 13^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$587520$ |
$1.098829$ |
$-574468255729/2284880$ |
$0.89025$ |
$3.09018$ |
$[1, -1, 0, -10305, -401459]$ |
\(y^2+xy=x^3-x^2-10305x-401459\) |
20.2.0.a.1 |
$[]$ |
| 338130.be1 |
338130be1 |
338130.be |
338130be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5 \cdot 13^{4} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9987840$ |
$2.515434$ |
$-574468255729/2284880$ |
$0.89025$ |
$4.42543$ |
$[1, -1, 0, -2978199, -1984280787]$ |
\(y^2+xy=x^3-x^2-2978199x-1984280787\) |
20.2.0.a.1 |
$[]$ |
| 488410.h1 |
488410h1 |
488410.h |
488410h |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 13^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 5 \cdot 13^{10} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1.655596809$ |
$1$ |
|
$4$ |
$3290112$ |
$1.831997$ |
$-574468255729/2284880$ |
$0.89025$ |
$3.67509$ |
$[1, 1, 0, -193508, 32795872]$ |
\(y^2+xy=x^3+x^2-193508x+32795872\) |
20.2.0.a.1 |
$[(252, 212)]$ |
| 488410.be1 |
488410be1 |
488410.be |
488410be |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 13^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 5 \cdot 13^{10} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$19.40091935$ |
$1$ |
|
$0$ |
$55931904$ |
$3.248604$ |
$-574468255729/2284880$ |
$0.89025$ |
$4.97285$ |
$[1, 0, 1, -55923963, 161517586518]$ |
\(y^2+xy+y=x^3-55923963x+161517586518\) |
20.2.0.a.1 |
$[(12252068547/1627, 174512276307504/1627)]$ |
