| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 10470.d2 |
10470d2 |
10470.d |
10470d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2 \cdot 3 \cdot 5 \cdot 349^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$293160$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$271656$ |
$2.378975$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.59844$ |
$1$ |
$[1, 0, 0, 182415, -207095505]$ |
\(y^2+xy=x^3+182415x-207095505\) |
7.48.0-7.a.2.2, 41880.2.0.?, 293160.96.2.? |
$[ ]$ |
$1$ |
| 31410.b2 |
31410b2 |
31410.b |
31410b |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2 \cdot 3^{7} \cdot 5 \cdot 349^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2173248$ |
$2.928280$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.64104$ |
$1$ |
$[1, -1, 0, 1641735, 5591578635]$ |
\(y^2+xy=x^3-x^2+1641735x+5591578635\) |
7.24.0.a.2, 21.48.0-7.a.2.2, 41880.2.0.?, 97720.48.0.?, 293160.96.2.? |
$[ ]$ |
$1$ |
| 52350.c2 |
52350a2 |
52350.c |
52350a |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 349 \) |
\( - 2 \cdot 3 \cdot 5^{7} \cdot 349^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$20.26751949$ |
$1$ |
|
$0$ |
$6519744$ |
$3.183693$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.65792$ |
$1$ |
$[1, 1, 0, 4560375, -25886938125]$ |
\(y^2+xy=x^3+x^2+4560375x-25886938125\) |
7.24.0.a.2, 35.48.0-7.a.2.1, 41880.2.0.?, 58632.48.0.?, 293160.96.2.? |
$[(3846125075/671, 239740090999575/671)]$ |
$1$ |
| 83760.i2 |
83760n2 |
83760.i |
83760n |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{13} \cdot 3 \cdot 5 \cdot 349^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$17.56670207$ |
$1$ |
|
$0$ |
$6519744$ |
$3.072121$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.30522$ |
$1$ |
$[0, -1, 0, 2918640, 13254112320]$ |
\(y^2=x^3-x^2+2918640x+13254112320\) |
7.24.0.a.2, 28.48.0-7.a.2.1, 41880.2.0.?, 293160.96.2.? |
$[(65222192/221, 1508488981208/221)]$ |
$1$ |
| 157050.v2 |
157050k2 |
157050.v |
157050k |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 349 \) |
\( - 2 \cdot 3^{7} \cdot 5^{7} \cdot 349^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$34.23007332$ |
$1$ |
|
$0$ |
$52157952$ |
$3.733002$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.68933$ |
$1$ |
$[1, -1, 1, 41043370, 698988372747]$ |
\(y^2+xy+y=x^3-x^2+41043370x+698988372747\) |
7.24.0.a.2, 105.48.0.?, 19544.48.0.?, 41880.2.0.?, 293160.96.2.? |
$[(11041570335973511/705002, 1238637020686582890673035/705002)]$ |
$1$ |
| 251280.j2 |
251280j2 |
251280.j |
251280j |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5 \cdot 349^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$20.64388920$ |
$1$ |
|
$0$ |
$52157952$ |
$3.621429$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.36661$ |
$1$ |
$[0, 0, 0, 26267757, -357887300398]$ |
\(y^2=x^3+26267757x-357887300398\) |
7.24.0.a.2, 84.48.0.?, 41880.2.0.?, 97720.48.0.?, 293160.96.2.? |
$[(6544868071/407, 532392751694934/407)]$ |
$1$ |
| 335040.n2 |
335040n2 |
335040.n |
335040n |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{19} \cdot 3 \cdot 5 \cdot 349^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$52157952$ |
$3.418697$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.05402$ |
$1$ |
$[0, -1, 0, 11674559, -106044573119]$ |
\(y^2=x^3-x^2+11674559x-106044573119\) |
7.24.0.a.2, 56.48.0-7.a.2.1, 41880.2.0.?, 73290.48.0.?, 293160.96.2.? |
$[ ]$ |
$1$ |
| 335040.bk2 |
335040bk2 |
335040.bk |
335040bk |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{19} \cdot 3 \cdot 5 \cdot 349^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$52157952$ |
$3.418697$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.05402$ |
$1$ |
$[0, 1, 0, 11674559, 106044573119]$ |
\(y^2=x^3+x^2+11674559x+106044573119\) |
7.24.0.a.2, 56.48.0-7.a.2.2, 41880.2.0.?, 146580.48.0.?, 293160.96.2.? |
$[ ]$ |
$1$ |
| 418800.bv2 |
418800bv2 |
418800.bv |
418800bv |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 349 \) |
\( - 2^{13} \cdot 3 \cdot 5^{7} \cdot 349^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$38.94650394$ |
$1$ |
|
$0$ |
$156473856$ |
$3.876842$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.39160$ |
$1$ |
$[0, 1, 0, 72965992, 1656909971988]$ |
\(y^2=x^3+x^2+72965992x+1656909971988\) |
7.24.0.a.2, 140.48.0.?, 41880.2.0.?, 58632.48.0.?, 293160.96.2.? |
$[(1143405433602192468/3236429, 1227164243360016540909177450/3236429)]$ |
$1$ |
