| 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 |
| 786.a1 |
786b1 |
786.a |
786b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1572$ |
$2$ |
$0$ |
$0.240487738$ |
$1$ |
|
$6$ |
$216$ |
$0.066278$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.27997$ |
$[1, 1, 0, -281, 1701]$ |
\(y^2+xy=x^3+x^2-281x+1701\) |
1572.2.0.? |
$[(10, -1)]$ |
| 786.b1 |
786d1 |
786.b |
786d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$504$ |
$0.551885$ |
$4418129129836969/2291976$ |
$0.98193$ |
$5.40344$ |
$[1, 1, 0, -3418, -78356]$ |
\(y^2+xy=x^3+x^2-3418x-78356\) |
3144.2.0.? |
$[]$ |
| 786.c1 |
786a1 |
786.c |
786a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2 \cdot 3 \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.287032776$ |
$1$ |
|
$4$ |
$40$ |
$-0.631498$ |
$68417929/786$ |
$0.83173$ |
$2.70605$ |
$[1, 1, 0, -8, 6]$ |
\(y^2+xy=x^3+x^2-8x+6\) |
3144.2.0.? |
$[(1, 0)]$ |
| 786.d1 |
786e3 |
786.d |
786e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{3} \cdot 3^{4} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$0.574091$ |
$19312898130234073/84888$ |
$0.98900$ |
$5.62469$ |
$[1, 1, 0, -5589, 158517]$ |
\(y^2+xy=x^3+x^2-5589x+158517\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 524.12.0.?, $\ldots$ |
$[]$ |
| 786.d2 |
786e2 |
786.d |
786e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{6} \cdot 3^{2} \cdot 131^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$288$ |
$0.227517$ |
$4722184089433/9884736$ |
$1.05106$ |
$4.37730$ |
$[1, 1, 0, -349, 2365]$ |
\(y^2+xy=x^3+x^2-349x+2365\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 524.12.0.?, $\ldots$ |
$[]$ |
| 786.d3 |
786e4 |
786.d |
786e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{3} \cdot 3 \cdot 131^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$0.574091$ |
$-1337180541913/7067998104$ |
$1.16620$ |
$4.53542$ |
$[1, 1, 0, -229, 4165]$ |
\(y^2+xy=x^3+x^2-229x+4165\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
| 786.d4 |
786e1 |
786.d |
786e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{12} \cdot 3 \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$3144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$144$ |
$-0.119057$ |
$2845178713/1609728$ |
$0.95031$ |
$3.26519$ |
$[1, 1, 0, -29, -3]$ |
\(y^2+xy=x^3+x^2-29x-3\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[]$ |
| 786.e1 |
786c1 |
786.e |
786c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{9} \cdot 3^{24} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1048$ |
$2$ |
$0$ |
$2.817672580$ |
$1$ |
|
$2$ |
$12960$ |
$1.802240$ |
$199084633070471/18943113870853632$ |
$1.16714$ |
$6.73995$ |
$[1, 1, 0, 1217, 6622405]$ |
\(y^2+xy=x^3+x^2+1217x+6622405\) |
1048.2.0.? |
$[(12085, 1322560)]$ |
| 786.f1 |
786f2 |
786.f |
786f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3144$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$456$ |
$0.205735$ |
$333822098953/53954184$ |
$0.92728$ |
$3.97991$ |
$[1, 0, 1, -145, -580]$ |
\(y^2+xy+y=x^3-145x-580\) |
3.8.0-3.a.1.1, 3144.16.0.? |
$[]$ |
| 786.f2 |
786f1 |
786.f |
786f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2 \cdot 3^{3} \cdot 131 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3144$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$152$ |
$-0.343571$ |
$6826561273/7074$ |
$0.88675$ |
$3.39647$ |
$[1, 0, 1, -40, 92]$ |
\(y^2+xy+y=x^3-40x+92\) |
3.8.0-3.a.1.2, 3144.16.0.? |
$[]$ |
| 786.g1 |
786h1 |
786.g |
786h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{2} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1572$ |
$2$ |
$0$ |
$0.052993028$ |
$1$ |
|
$12$ |
$168$ |
$-0.148919$ |
$-498677257/1145988$ |
$0.89539$ |
$3.24452$ |
$[1, 0, 1, -17, 56]$ |
\(y^2+xy+y=x^3-17x+56\) |
1572.2.0.? |
$[(-3, 10)]$ |
| 786.h1 |
786g1 |
786.h |
786g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1.276932433$ |
$1$ |
|
$2$ |
$264$ |
$-0.032312$ |
$119168121961/804864$ |
$0.91365$ |
$3.82540$ |
$[1, 0, 1, -103, -406]$ |
\(y^2+xy+y=x^3-103x-406\) |
3144.2.0.? |
$[(-6, 4)]$ |
| 786.i1 |
786k1 |
786.i |
786k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{3} \cdot 3^{4} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1048$ |
$2$ |
$0$ |
$0.189798803$ |
$1$ |
|
$6$ |
$144$ |
$-0.366189$ |
$109902239/84888$ |
$0.87261$ |
$2.77714$ |
$[1, 1, 1, 10, 11]$ |
\(y^2+xy+y=x^3+x^2+10x+11\) |
1048.2.0.? |
$[(3, 7)]$ |
| 786.j1 |
786j1 |
786.j |
786j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.077005409$ |
$1$ |
|
$10$ |
$504$ |
$0.523108$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.78299$ |
$[1, 1, 1, -861, 9267]$ |
\(y^2+xy+y=x^3+x^2-861x+9267\) |
3144.2.0.? |
$[(-9, 132)]$ |
| 786.k1 |
786i1 |
786.k |
786i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{6} \cdot 3^{3} \cdot 131 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.4 |
2B |
$3144$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$288$ |
$-0.131032$ |
$39616946929/226368$ |
$0.90388$ |
$3.66022$ |
$[1, 1, 1, -71, -259]$ |
\(y^2+xy+y=x^3+x^2-71x-259\) |
2.3.0.a.1, 8.6.0.d.1, 786.6.0.?, 3144.12.0.? |
$[]$ |
| 786.k2 |
786i2 |
786.k |
786i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{3} \cdot 3^{6} \cdot 131^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.5 |
2B |
$3144$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$0.215542$ |
$-3301293169/100082952$ |
$0.96192$ |
$3.88410$ |
$[1, 1, 1, -31, -499]$ |
\(y^2+xy+y=x^3+x^2-31x-499\) |
2.3.0.a.1, 8.6.0.a.1, 1572.6.0.?, 3144.12.0.? |
$[]$ |
| 786.l1 |
786l1 |
786.l |
786l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{7} \cdot 3^{5} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.039064083$ |
$1$ |
|
$14$ |
$280$ |
$-0.038663$ |
$8205738913/4074624$ |
$0.92368$ |
$3.42407$ |
$[1, 0, 0, -42, 36]$ |
\(y^2+xy=x^3-42x+36\) |
3144.2.0.? |
$[(0, 6)]$ |
| 786.m1 |
786m2 |
786.m |
786m |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2 \cdot 3^{3} \cdot 131^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4200$ |
$1.628077$ |
$1294373635812597347281/2083292441154$ |
$1.03042$ |
$7.29153$ |
$[1, 0, 0, -227045, -41659377]$ |
\(y^2+xy=x^3-227045x-41659377\) |
5.24.0-5.a.2.2, 3144.2.0.?, 15720.48.1.? |
$[]$ |
| 786.m2 |
786m1 |
786.m |
786m |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 131 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$840$ |
$0.823357$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$5.19162$ |
$[1, 0, 0, -2135, 35913]$ |
\(y^2+xy=x^3-2135x+35913\) |
5.24.0-5.a.1.2, 3144.2.0.?, 15720.48.1.? |
$[]$ |
