| 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 |
| 1428.a1 |
1428b1 |
1428.a |
1428b |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30240$ |
$2.323002$ |
$-6434900743458429657088/395758108932291$ |
$1.06283$ |
$7.67636$ |
$[0, -1, 0, -2460477, 1486414521]$ |
\(y^2=x^3-x^2-2460477x+1486414521\) |
102.2.0.? |
$[]$ |
| 1428.b1 |
1428c1 |
1428.b |
1428c |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.259509482$ |
$1$ |
|
$6$ |
$288$ |
$-0.016781$ |
$17997824/22491$ |
$0.86007$ |
$3.08353$ |
$[0, -1, 0, 35, 73]$ |
\(y^2=x^3-x^2+35x+73\) |
102.2.0.? |
$[(3, 14)]$ |
| 1428.c1 |
1428a1 |
1428.c |
1428a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 7^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$360$ |
$0.195342$ |
$265327034368/297381$ |
$1.02684$ |
$4.00285$ |
$[0, -1, 0, -337, -2270]$ |
\(y^2=x^3-x^2-337x-2270\) |
2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.? |
$[]$ |
| 1428.c2 |
1428a2 |
1428.c |
1428a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$720$ |
$0.541915$ |
$-6940769488/18000297$ |
$0.99965$ |
$4.11717$ |
$[0, -1, 0, -252, -3528]$ |
\(y^2=x^3-x^2-252x-3528\) |
2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.? |
$[]$ |
| 1428.d1 |
1428e1 |
1428.d |
1428e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{4} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$102$ |
$16$ |
$0$ |
$0.216356180$ |
$1$ |
|
$16$ |
$1728$ |
$0.874933$ |
$-11632923639808/318495051$ |
$1.03083$ |
$4.91136$ |
$[0, 1, 0, -2997, 63639]$ |
\(y^2=x^3+x^2-2997x+63639\) |
3.8.0-3.a.1.2, 102.16.0.? |
$[(33, 42)]$ |
| 1428.d2 |
1428e2 |
1428.d |
1428e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 7^{12} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$102$ |
$16$ |
$0$ |
$0.649068541$ |
$1$ |
|
$2$ |
$5184$ |
$1.424240$ |
$1021544365555712/705905647251$ |
$1.08891$ |
$5.52108$ |
$[0, 1, 0, 13323, 265191]$ |
\(y^2=x^3+x^2+13323x+265191\) |
3.8.0-3.a.1.1, 102.16.0.? |
$[(50, 1029)]$ |
| 1428.e1 |
1428d1 |
1428.e |
1428d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$216$ |
$-0.095161$ |
$1302642688/54621$ |
$0.89951$ |
$3.27095$ |
$[0, 1, 0, -57, -180]$ |
\(y^2=x^3+x^2-57x-180\) |
2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.? |
$[]$ |
| 1428.e2 |
1428d2 |
1428.e |
1428d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$432$ |
$0.251412$ |
$9148592/607257$ |
$0.90063$ |
$3.62166$ |
$[0, 1, 0, 28, -588]$ |
\(y^2=x^3+x^2+28x-588\) |
2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.? |
$[]$ |
