| 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 |
| 78033.a1 |
78033b4 |
78033.a |
78033b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( 3^{4} \cdot 19 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16872$ |
$48$ |
$0$ |
$3.755208620$ |
$1$ |
|
$2$ |
$290304$ |
$1.560450$ |
$115714886617/1539$ |
$0.98111$ |
$4.18468$ |
$[1, 0, 0, -138982, 19930985]$ |
\(y^2+xy=x^3-138982x+19930985\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 148.12.0.?, $\ldots$ |
$[(179, 803)]$ |
| 78033.a2 |
78033b2 |
78033.a |
78033b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8436$ |
$48$ |
$0$ |
$7.510417240$ |
$1$ |
|
$2$ |
$145152$ |
$1.213877$ |
$30664297/3249$ |
$0.90727$ |
$3.45357$ |
$[1, 0, 0, -8927, 292680]$ |
\(y^2+xy=x^3-8927x+292680\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 148.12.0.?, 228.24.0.?, $\ldots$ |
$[(1933/7, 9682/7)]$ |
| 78033.a3 |
78033b1 |
78033.a |
78033b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( 3 \cdot 19 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16872$ |
$48$ |
$0$ |
$15.02083448$ |
$1$ |
|
$1$ |
$72576$ |
$0.867303$ |
$389017/57$ |
$0.96267$ |
$3.06589$ |
$[1, 0, 0, -2082, -31773]$ |
\(y^2+xy=x^3-2082x-31773\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 114.6.0.?, 152.12.0.?, $\ldots$ |
$[(-3015409/301, 1285692932/301)]$ |
| 78033.a4 |
78033b3 |
78033.a |
78033b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( - 3 \cdot 19^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16872$ |
$48$ |
$0$ |
$3.755208620$ |
$1$ |
|
$2$ |
$290304$ |
$1.560450$ |
$67419143/390963$ |
$0.97474$ |
$3.71876$ |
$[1, 0, 0, 11608, 1446747]$ |
\(y^2+xy=x^3+11608x+1446747\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 148.12.0.?, $\ldots$ |
$[(29973, 5174208)]$ |
| 78033.b1 |
78033a1 |
78033.b |
78033a |
$1$ |
$1$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( - 3^{2} \cdot 19 \cdot 37^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207936$ |
$0.968910$ |
$-1404928/171$ |
$0.86512$ |
$3.19683$ |
$[0, -1, 1, -3194, 77513]$ |
\(y^2+y=x^3-x^2-3194x+77513\) |
38.2.0.a.1 |
$[]$ |
| 78033.c1 |
78033c2 |
78033.c |
78033c |
$2$ |
$5$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( - 3^{2} \cdot 19^{5} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7030$ |
$48$ |
$1$ |
$17.58248997$ |
$1$ |
|
$0$ |
$2980800$ |
$2.456867$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$5.18785$ |
$[0, 1, 1, -6010366, -5673535913]$ |
\(y^2+y=x^3+x^2-6010366x-5673535913\) |
5.12.0.a.2, 38.2.0.a.1, 185.24.0.?, 190.24.1.?, 7030.48.1.? |
$[(2717276753/196, 141559613158879/196)]$ |
| 78033.c2 |
78033c1 |
78033.c |
78033c |
$2$ |
$5$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( - 3^{10} \cdot 19 \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$7030$ |
$48$ |
$1$ |
$3.516497994$ |
$1$ |
|
$0$ |
$596160$ |
$1.652147$ |
$841232384/1121931$ |
$1.00490$ |
$3.77117$ |
$[0, 1, 1, 26924, -1933193]$ |
\(y^2+y=x^3+x^2+26924x-1933193\) |
5.12.0.a.1, 38.2.0.a.1, 185.24.0.?, 190.24.1.?, 7030.48.1.? |
$[(1265/4, 53359/4)]$ |
