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 |
32674.a1 |
32674b2 |
32674.a |
32674b |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 31^{2} \) |
\( 2^{5} \cdot 17^{2} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$4216$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$307200$ |
$1.842344$ |
$450335804625/8887328$ |
$0.90500$ |
$4.56375$ |
$[1, -1, 1, -153460, -22702409]$ |
\(y^2+xy+y=x^3-x^2-153460x-22702409\) |
2.3.0.a.1, 8.6.0.b.1, 2108.6.0.?, 4216.12.0.? |
$[]$ |
32674.a2 |
32674b1 |
32674.a |
32674b |
$2$ |
$2$ |
\( 2 \cdot 17 \cdot 31^{2} \) |
\( - 2^{10} \cdot 17 \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$4216$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$153600$ |
$1.495770$ |
$3375/539648$ |
$1.11262$ |
$3.96921$ |
$[1, -1, 1, 300, -1053001]$ |
\(y^2+xy+y=x^3-x^2+300x-1053001\) |
2.3.0.a.1, 8.6.0.c.1, 1054.6.0.?, 4216.12.0.? |
$[]$ |
32674.b1 |
32674a1 |
32674.b |
32674a |
$1$ |
$1$ |
\( 2 \cdot 17 \cdot 31^{2} \) |
\( - 2^{13} \cdot 17^{3} \cdot 31^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$79560$ |
$1.374641$ |
$-1084115556081/40247296$ |
$0.99913$ |
$3.99351$ |
$[1, -1, 1, -20842, -1189463]$ |
\(y^2+xy+y=x^3-x^2-20842x-1189463\) |
136.2.0.? |
$[]$ |
32674.c1 |
32674c1 |
32674.c |
32674c |
$1$ |
$1$ |
\( 2 \cdot 17 \cdot 31^{2} \) |
\( - 2^{13} \cdot 17^{3} \cdot 31^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2466360$ |
$3.091633$ |
$-1084115556081/40247296$ |
$0.99913$ |
$5.97574$ |
$[1, -1, 1, -20028862, 35595515213]$ |
\(y^2+xy+y=x^3-x^2-20028862x+35595515213\) |
136.2.0.? |
$[]$ |
32674.d1 |
32674d4 |
32674.d |
32674d |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 31^{2} \) |
\( 2 \cdot 17^{6} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$12648$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$362880$ |
$1.896481$ |
$159661140625/48275138$ |
$1.06848$ |
$4.46399$ |
$[1, 1, 1, -108613, 9475417]$ |
\(y^2+xy+y=x^3+x^2-108613x+9475417\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[]$ |
32674.d2 |
32674d3 |
32674.d |
32674d |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 31^{2} \) |
\( 2^{2} \cdot 17^{3} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$12648$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$181440$ |
$1.549908$ |
$120920208625/19652$ |
$0.98564$ |
$4.43726$ |
$[1, 1, 1, -99003, 11947109]$ |
\(y^2+xy+y=x^3+x^2-99003x+11947109\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[]$ |
32674.d3 |
32674d2 |
32674.d |
32674d |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 31^{2} \) |
\( 2^{3} \cdot 17^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$12648$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.347176$ |
$8805624625/2312$ |
$0.96590$ |
$4.18522$ |
$[1, 1, 1, -41343, -3252067]$ |
\(y^2+xy+y=x^3+x^2-41343x-3252067\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[]$ |
32674.d4 |
32674d1 |
32674.d |
32674d |
$4$ |
$6$ |
\( 2 \cdot 17 \cdot 31^{2} \) |
\( 2^{6} \cdot 17 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$12648$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$60480$ |
$1.000601$ |
$3048625/1088$ |
$0.90010$ |
$3.41860$ |
$[1, 1, 1, -2903, -38483]$ |
\(y^2+xy+y=x^3+x^2-2903x-38483\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[]$ |