| 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 |
| 6378.a1 |
6378a1 |
6378.a |
6378a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2^{11} \cdot 3^{2} \cdot 1063 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8504$ |
$2$ |
$0$ |
$0.111897103$ |
$1$ |
|
$26$ |
$3168$ |
$0.156779$ |
$-351447414193/19593216$ |
$0.98401$ |
$3.04514$ |
$[1, 1, 1, -147, 657]$ |
\(y^2+xy+y=x^3+x^2-147x+657\) |
8504.2.0.? |
$[(7, 2), (3, 14)]$ |
| 6378.b1 |
6378b1 |
6378.b |
6378b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2 \cdot 3^{4} \cdot 1063 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8504$ |
$2$ |
$0$ |
$2.898134631$ |
$1$ |
|
$0$ |
$800$ |
$-0.223731$ |
$-4750104241/172206$ |
$0.94489$ |
$2.55030$ |
$[1, 1, 1, -35, -97]$ |
\(y^2+xy+y=x^3+x^2-35x-97\) |
8504.2.0.? |
$[(39/2, 155/2)]$ |
| 6378.c1 |
6378d1 |
6378.c |
6378d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2^{5} \cdot 3^{10} \cdot 1063 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8504$ |
$2$ |
$0$ |
$0.191394324$ |
$1$ |
|
$8$ |
$4000$ |
$0.464209$ |
$6549699311/2008610784$ |
$0.93960$ |
$3.29584$ |
$[1, 0, 0, 39, -2151]$ |
\(y^2+xy=x^3+39x-2151\) |
8504.2.0.? |
$[(30, 147)]$ |
| 6378.d1 |
6378c1 |
6378.d |
6378c |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2^{21} \cdot 3^{14} \cdot 1063 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$59528$ |
$96$ |
$2$ |
$2.883891156$ |
$1$ |
|
$14$ |
$98784$ |
$2.132988$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$6.10287$ |
$[1, 0, 0, -1144386, 471132612]$ |
\(y^2+xy=x^3-1144386x+471132612\) |
7.48.0-7.a.1.2, 8504.2.0.?, 59528.96.2.? |
$[(596, 638)]$ |
| 6378.d2 |
6378c2 |
6378.d |
6378c |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2^{3} \cdot 3^{2} \cdot 1063^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$59528$ |
$96$ |
$2$ |
$20.18723809$ |
$1$ |
|
$0$ |
$691488$ |
$3.105942$ |
$53900230693869615719525471/110424476261224735356024$ |
$1.03263$ |
$6.86954$ |
$[1, 0, 0, 7869654, -13542161508]$ |
\(y^2+xy=x^3+7869654x-13542161508\) |
7.48.0-7.a.2.2, 8504.2.0.?, 59528.96.2.? |
$[(645241094/385, 18209210581052/385)]$ |
| 6378.e1 |
6378e1 |
6378.e |
6378e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2^{3} \cdot 3^{5} \cdot 1063 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$25512$ |
$2$ |
$0$ |
$0.425362956$ |
$1$ |
|
$4$ |
$1440$ |
$-0.106140$ |
$-192100033/2066472$ |
$0.84339$ |
$2.51677$ |
$[1, 0, 0, -12, -72]$ |
\(y^2+xy=x^3-12x-72\) |
25512.2.0.? |
$[(6, 6)]$ |
| 6378.f1 |
6378f2 |
6378.f |
6378f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2^{5} \cdot 3^{4} \cdot 1063^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$25512$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50400$ |
$1.792173$ |
$-17134627404681225465697/3113399065824$ |
$0.99557$ |
$5.84382$ |
$[1, 0, 0, -537094, -151548604]$ |
\(y^2+xy=x^3-537094x-151548604\) |
3.8.0-3.a.1.1, 8504.2.0.?, 25512.16.0.? |
$[]$ |
| 6378.f2 |
6378f1 |
6378.f |
6378f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 1063 \) |
\( - 2^{15} \cdot 3^{12} \cdot 1063 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$25512$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$16800$ |
$1.242868$ |
$-20849781676074337/18511356985344$ |
$0.99774$ |
$4.39536$ |
$[1, 0, 0, -5734, -266524]$ |
\(y^2+xy=x^3-5734x-266524\) |
3.8.0-3.a.1.2, 8504.2.0.?, 25512.16.0.? |
$[]$ |
