| 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 |
| 286.a1 |
286a1 |
286.a |
286a |
$2$ |
$3$ |
\( 2 \cdot 11 \cdot 13 \) |
\( - 2^{5} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3432$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$60$ |
$-0.189498$ |
$-30664297/773344$ |
$0.91386$ |
$3.71922$ |
$[1, 0, 1, -7, 42]$ |
\(y^2+xy+y=x^3-7x+42\) |
3.8.0-3.a.1.2, 1144.2.0.?, 3432.16.0.? |
$[]$ |
| 286.a2 |
286a2 |
286.a |
286a |
$2$ |
$3$ |
\( 2 \cdot 11 \cdot 13 \) |
\( - 2^{15} \cdot 11^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3432$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$180$ |
$0.359808$ |
$22117051943/566984704$ |
$1.12064$ |
$4.87761$ |
$[1, 0, 1, 58, -1128]$ |
\(y^2+xy+y=x^3+58x-1128\) |
3.8.0-3.a.1.1, 1144.2.0.?, 3432.16.0.? |
$[]$ |
| 286.b1 |
286c1 |
286.b |
286c |
$1$ |
$1$ |
\( 2 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$104$ |
$2$ |
$0$ |
$0.134214008$ |
$1$ |
|
$6$ |
$24$ |
$-0.344195$ |
$-4165509529/12584$ |
$0.87863$ |
$3.91714$ |
$[1, 1, 0, -33, 61]$ |
\(y^2+xy=x^3+x^2-33x+61\) |
104.2.0.? |
$[(1, 5)]$ |
| 286.c1 |
286b1 |
286.c |
286b |
$1$ |
$1$ |
\( 2 \cdot 11 \cdot 13 \) |
\( - 2^{13} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$104$ |
$2$ |
$0$ |
$0.037435452$ |
$1$ |
|
$14$ |
$104$ |
$0.043997$ |
$241804367/12886016$ |
$0.94938$ |
$4.21066$ |
$[1, 1, 1, 13, 177]$ |
\(y^2+xy+y=x^3+x^2+13x+177\) |
104.2.0.? |
$[(19, 78)]$ |
| 286.d1 |
286d2 |
286.d |
286d |
$2$ |
$5$ |
\( 2 \cdot 11 \cdot 13 \) |
\( - 2 \cdot 11^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$600$ |
$1.251255$ |
$-2409558590804994721/674373039626$ |
$1.10476$ |
$7.48347$ |
$[1, 1, 1, -27930, -1808687]$ |
\(y^2+xy+y=x^3+x^2-27930x-1808687\) |
5.24.0-5.a.2.2, 104.2.0.?, 520.48.1.? |
$[]$ |
| 286.d2 |
286d1 |
286.d |
286d |
$2$ |
$5$ |
\( 2 \cdot 11 \cdot 13 \) |
\( - 2^{5} \cdot 11^{2} \cdot 13^{5} \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$120$ |
$0.446537$ |
$2427173723519/1437646496$ |
$0.99639$ |
$5.04204$ |
$[1, 1, 1, 280, 393]$ |
\(y^2+xy+y=x^3+x^2+280x+393\) |
5.24.0-5.a.1.2, 104.2.0.?, 520.48.1.? |
$[]$ |
| 286.e1 |
286e1 |
286.e |
286e |
$1$ |
$1$ |
\( 2 \cdot 11 \cdot 13 \) |
\( - 2^{3} \cdot 11^{5} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$0.090387$ |
$-31824875809/16749304$ |
$0.91184$ |
$4.39009$ |
$[1, 1, 1, -66, -313]$ |
\(y^2+xy+y=x^3+x^2-66x-313\) |
1144.2.0.? |
$[]$ |
| 286.f1 |
286f1 |
286.f |
286f |
$1$ |
$1$ |
\( 2 \cdot 11 \cdot 13 \) |
\( - 2 \cdot 11 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$-0.849782$ |
$-1/286$ |
$0.98503$ |
$2.31802$ |
$[1, 1, 1, 0, -1]$ |
\(y^2+xy+y=x^3+x^2-1\) |
1144.2.0.? |
$[]$ |
