| 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.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.? |
$[(596, 638)]$ |
| 19134.d1 |
19134b1 |
19134.d |
19134b |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 1063 \) |
\( - 2^{21} \cdot 3^{20} \cdot 1063 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$178584$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$790272$ |
$2.682293$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$6.09141$ |
$[1, -1, 0, -10299474, -12720580524]$ |
\(y^2+xy=x^3-x^2-10299474x-12720580524\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 8504.2.0.?, 59528.48.2.?, 178584.96.2.? |
$[]$ |
| 51024.a1 |
51024f1 |
51024.a |
51024f |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 1063 \) |
\( - 2^{33} \cdot 3^{14} \cdot 1063 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$59528$ |
$96$ |
$2$ |
$16.36967140$ |
$1$ |
|
$0$ |
$2370816$ |
$2.826134$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$5.69948$ |
$[0, -1, 0, -18310176, -30152487168]$ |
\(y^2=x^3-x^2-18310176x-30152487168\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 8504.2.0.?, 59528.96.2.? |
$[(601268121/8, 14743554493923/8)]$ |
| 153072.j1 |
153072e1 |
153072.j |
153072e |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 1063 \) |
\( - 2^{33} \cdot 3^{20} \cdot 1063 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$178584$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$18966528$ |
$3.375439$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$5.72713$ |
$[0, 0, 0, -164791587, 814281945122]$ |
\(y^2=x^3-164791587x+814281945122\) |
7.24.0.a.1, 84.48.0.?, 8504.2.0.?, 59528.48.2.?, 178584.96.2.? |
$[]$ |
| 159450.d1 |
159450t1 |
159450.d |
159450t |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 1063 \) |
\( - 2^{21} \cdot 3^{14} \cdot 5^{6} \cdot 1063 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$297640$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13829760$ |
$2.937706$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$5.26913$ |
$[1, 1, 0, -28609650, 58891576500]$ |
\(y^2+xy=x^3+x^2-28609650x+58891576500\) |
7.24.0.a.1, 35.48.0-7.a.1.1, 8504.2.0.?, 59528.48.2.?, 297640.96.2.? |
$[]$ |
| 204096.i1 |
204096y1 |
204096.i |
204096y |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 1063 \) |
\( - 2^{39} \cdot 3^{14} \cdot 1063 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$59528$ |
$96$ |
$2$ |
$6.840881148$ |
$1$ |
|
$0$ |
$18966528$ |
$3.172707$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$5.39339$ |
$[0, -1, 0, -73240705, 241293138049]$ |
\(y^2=x^3-x^2-73240705x+241293138049\) |
7.24.0.a.1, 56.48.0-7.a.1.1, 8504.2.0.?, 14882.48.0.?, 59528.96.2.? |
$[(161611/5, 24345684/5)]$ |
| 204096.w1 |
204096f1 |
204096.w |
204096f |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 1063 \) |
\( - 2^{39} \cdot 3^{14} \cdot 1063 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$59528$ |
$96$ |
$2$ |
$11.60106892$ |
$1$ |
|
$6$ |
$18966528$ |
$3.172707$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$5.39339$ |
$[0, 1, 0, -73240705, -241293138049]$ |
\(y^2=x^3+x^2-73240705x-241293138049\) |
7.24.0.a.1, 56.48.0-7.a.1.2, 8504.2.0.?, 29764.48.0.?, 59528.96.2.? |
$[(36575, 6782976), (324551/5, 124747776/5)]$ |
| 312522.q1 |
312522q1 |
312522.q |
312522q |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 1063 \) |
\( - 2^{21} \cdot 3^{14} \cdot 7^{6} \cdot 1063 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.4 |
7B.1.6 |
$59528$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$37340352$ |
$3.105942$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$5.14844$ |
$[1, 1, 1, -56074915, -161654560831]$ |
\(y^2+xy+y=x^3+x^2-56074915x-161654560831\) |
7.48.0-7.a.1.1, 8504.2.0.?, 59528.96.2.? |
$[]$ |
| 478350.u1 |
478350u1 |
478350.u |
478350u |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 1063 \) |
\( - 2^{21} \cdot 3^{20} \cdot 5^{6} \cdot 1063 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$892920$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$110638080$ |
$3.487011$ |
$-165745346665991446425889/10662541623558144$ |
$1.00282$ |
$5.33053$ |
$[1, -1, 1, -257486855, -1590330052353]$ |
\(y^2+xy+y=x^3-x^2-257486855x-1590330052353\) |
7.24.0.a.1, 105.48.0.?, 8504.2.0.?, 59528.48.2.?, 892920.96.2.? |
$[]$ |
