| 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 |
Manin constant |
| 27885.g1 |
27885f2 |
27885.g |
27885f |
$2$ |
$7$ |
\( 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 3^{7} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$14.69645371$ |
$1$ |
|
$0$ |
$197568$ |
$1.677099$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$4.70085$ |
$[1, 1, 1, -192501, -32587482]$ |
\(y^2+xy+y=x^3+x^2-192501x-32587482\) |
7.8.0.a.1, 91.48.0.?, 330.2.0.?, 2310.16.0.?, 30030.96.2.? |
$[(-13808904/233, 1998384229/233)]$ |
$1$ |
| 27885.r1 |
27885n2 |
27885.r |
27885n |
$2$ |
$7$ |
\( 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 3^{7} \cdot 5 \cdot 11^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.2 |
7B.2.3 |
$30030$ |
$96$ |
$2$ |
$2.939814937$ |
$1$ |
|
$2$ |
$2568384$ |
$2.959576$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$6.20436$ |
$[1, 1, 0, -32532672, -71432034201]$ |
\(y^2+xy=x^3+x^2-32532672x-71432034201\) |
7.16.0-7.a.1.1, 91.48.0.?, 330.2.0.?, 2310.32.0.?, 30030.96.2.? |
$[(-3310, 1993)]$ |
$1$ |
| 83655.e1 |
83655k2 |
83655.e |
83655k |
$2$ |
$7$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 3^{13} \cdot 5 \cdot 11^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$20547072$ |
$3.508881$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$6.18455$ |
$[1, -1, 1, -292794053, 1928372129376]$ |
\(y^2+xy+y=x^3-x^2-292794053x+1928372129376\) |
7.8.0.a.1, 21.16.0-7.a.1.1, 91.24.0.?, 273.48.0.?, 330.2.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 83655.bg1 |
83655be2 |
83655.bg |
83655be |
$2$ |
$7$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 3^{13} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1580544$ |
$2.226406$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$4.82677$ |
$[1, -1, 0, -1732509, 878129500]$ |
\(y^2+xy=x^3-x^2-1732509x+878129500\) |
7.8.0.a.1, 91.24.0.?, 273.48.0.?, 330.2.0.?, 2310.16.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 139425.p1 |
139425j2 |
139425.p |
139425j |
$2$ |
$7$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{7} \cdot 5^{7} \cdot 11^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$2.420112146$ |
$1$ |
|
$2$ |
$61641216$ |
$3.764294$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$6.17659$ |
$[1, 0, 0, -813316813, -8927377641508]$ |
\(y^2+xy=x^3-813316813x-8927377641508\) |
7.8.0.a.1, 35.16.0-7.a.1.2, 91.24.0.?, 330.2.0.?, 455.48.0.?, $\ldots$ |
$[(-16453, 26789)]$ |
$1$ |
| 139425.bn1 |
139425bj2 |
139425.bn |
139425bj |
$2$ |
$7$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{7} \cdot 5^{7} \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$4741632$ |
$2.481819$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$4.87737$ |
$[1, 0, 1, -4812526, -4063810177]$ |
\(y^2+xy+y=x^3-4812526x-4063810177\) |
7.8.0.a.1, 91.24.0.?, 330.2.0.?, 455.48.0.?, 2310.16.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 306735.m1 |
306735m2 |
306735.m |
306735m |
$2$ |
$7$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
\( 3^{7} \cdot 5 \cdot 11^{13} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$30.97777913$ |
$1$ |
|
$0$ |
$308206080$ |
$4.158524$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$6.16557$ |
$[1, 1, 1, -3936453375, 95056355254752]$ |
\(y^2+xy+y=x^3+x^2-3936453375x+95056355254752\) |
7.8.0.a.1, 77.16.0.?, 91.24.0.?, 210.16.0.?, 330.2.0.?, $\ldots$ |
$[(54079303911135450/1152611, 2276318208836431597021938/1152611)]$ |
$1$ |
| 306735.bj1 |
306735bj2 |
306735.bj |
306735bj |
$2$ |
$7$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
\( 3^{7} \cdot 5 \cdot 11^{13} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$23708160$ |
$2.876049$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$4.94743$ |
$[1, 1, 0, -23292623, 43257475188]$ |
\(y^2+xy=x^3+x^2-23292623x+43257475188\) |
7.8.0.a.1, 91.24.0.?, 330.2.0.?, 1001.48.0.?, 2310.16.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 418275.g1 |
418275g2 |
418275.g |
418275g |
$2$ |
$7$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{13} \cdot 5^{7} \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$0.469545230$ |
$1$ |
|
$6$ |
$37933056$ |
$3.031124$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$4.97265$ |
$[1, -1, 1, -43312730, 109722874772]$ |
\(y^2+xy+y=x^3-x^2-43312730x+109722874772\) |
7.8.0.a.1, 91.24.0.?, 330.2.0.?, 1365.48.0.?, 2002.48.0.?, $\ldots$ |
$[(3660, 12871)]$ |
$1$ |
| 418275.cs1 |
418275cs2 |
418275.cs |
418275cs |
$2$ |
$7$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{13} \cdot 5^{7} \cdot 11^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$30030$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$493129728$ |
$4.313599$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$6.16161$ |
$[1, -1, 0, -7319851317, 241039196320716]$ |
\(y^2+xy=x^3-x^2-7319851317x+241039196320716\) |
7.8.0.a.1, 91.24.0.?, 105.16.0.?, 154.16.0.?, 330.2.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 446160.eh1 |
446160eh2 |
446160.eh |
446160eh |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$60060$ |
$96$ |
$2$ |
$0.253050723$ |
$1$ |
|
$22$ |
$12644352$ |
$2.370247$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$4.33833$ |
$[0, 1, 0, -3080016, 2079438804]$ |
\(y^2=x^3+x^2-3080016x+2079438804\) |
7.8.0.a.1, 91.24.0.?, 330.2.0.?, 364.48.0.?, 2310.16.0.?, $\ldots$ |
$[(540, 23958), (1266, 14520)]$ |
$1$ |
| 446160.jo1 |
446160jo2 |
446160.jo |
446160jo |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$60060$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$164376576$ |
$3.652721$ |
$4668056654282578921/213092214885$ |
$0.99205$ |
$5.52139$ |
$[0, 1, 0, -520522760, 4570609143348]$ |
\(y^2=x^3+x^2-520522760x+4570609143348\) |
7.8.0.a.1, 28.16.0-7.a.1.2, 91.24.0.?, 330.2.0.?, 364.48.0.?, $\ldots$ |
$[ ]$ |
$1$ |
