| 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 |
| 25242.a1 |
25242c1 |
25242.a |
25242c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 601 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$14424$ |
$12$ |
$0$ |
$0.903558477$ |
$1$ |
|
$7$ |
$17280$ |
$0.497453$ |
$17561807821657/1373972544$ |
$0.94538$ |
$3.00868$ |
$[1, 1, 0, -541, 4285]$ |
\(y^2+xy=x^3+x^2-541x+4285\) |
2.3.0.a.1, 24.6.0.c.1, 1202.6.0.?, 14424.12.0.? |
$[(18, 19)]$ |
| 25242.a2 |
25242c2 |
25242.a |
25242c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{4} \cdot 601^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$14424$ |
$12$ |
$0$ |
$1.807116955$ |
$1$ |
|
$4$ |
$34560$ |
$0.844027$ |
$17267538320423/187324617816$ |
$0.98979$ |
$3.29076$ |
$[1, 1, 0, 539, 20485]$ |
\(y^2+xy=x^3+x^2+539x+20485\) |
2.3.0.a.1, 24.6.0.b.1, 2404.6.0.?, 14424.12.0.? |
$[(-9, 127)]$ |
| 25242.b1 |
25242a1 |
25242.b |
25242a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{2} \cdot 3 \cdot 7^{5} \cdot 601 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$50484$ |
$2$ |
$0$ |
$0.242636960$ |
$1$ |
|
$6$ |
$9360$ |
$0.234967$ |
$49471280711/121212084$ |
$0.83434$ |
$2.54515$ |
$[1, 1, 0, 77, -431]$ |
\(y^2+xy=x^3+x^2+77x-431\) |
50484.2.0.? |
$[(12, 43)]$ |
| 25242.c1 |
25242b2 |
25242.c |
25242b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( 2^{13} \cdot 3^{2} \cdot 7^{4} \cdot 601^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$4808$ |
$12$ |
$0$ |
$1.756714514$ |
$1$ |
|
$6$ |
$179712$ |
$1.811552$ |
$6755360237855638039513/63940136214528$ |
$1.02816$ |
$4.95889$ |
$[1, 1, 0, -393829, 94963597]$ |
\(y^2+xy=x^3+x^2-393829x+94963597\) |
2.3.0.a.1, 8.6.0.b.1, 2404.6.0.?, 4808.12.0.? |
$[(361, -191)]$ |
| 25242.c2 |
25242b1 |
25242.c |
25242b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( 2^{26} \cdot 3^{4} \cdot 7^{2} \cdot 601 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$4808$ |
$12$ |
$0$ |
$3.513429028$ |
$1$ |
|
$5$ |
$89856$ |
$1.464979$ |
$1767597712298355673/160079403810816$ |
$1.00407$ |
$4.14513$ |
$[1, 1, 0, -25189, 1402765]$ |
\(y^2+xy=x^3+x^2-25189x+1402765\) |
2.3.0.a.1, 8.6.0.c.1, 1202.6.0.?, 4808.12.0.? |
$[(-173, 874)]$ |
| 25242.d1 |
25242e1 |
25242.d |
25242e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7 \cdot 601 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$50484$ |
$2$ |
$0$ |
$0.335679877$ |
$1$ |
|
$6$ |
$7056$ |
$-0.002558$ |
$-338608873/7269696$ |
$0.82196$ |
$2.29676$ |
$[1, 0, 1, -15, 130]$ |
\(y^2+xy+y=x^3-15x+130\) |
50484.2.0.? |
$[(-1, 12)]$ |
| 25242.e1 |
25242d1 |
25242.e |
25242d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{2} \cdot 601 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7212$ |
$12$ |
$0$ |
$2.827722928$ |
$1$ |
|
$3$ |
$16128$ |
$0.486908$ |
$18351695644633/1085607936$ |
$0.85950$ |
$3.01302$ |
$[1, 0, 1, -550, -4744]$ |
\(y^2+xy+y=x^3-550x-4744\) |
2.3.0.a.1, 12.6.0.c.1, 1202.6.0.?, 7212.12.0.? |
$[(64, 440)]$ |
| 25242.e2 |
25242d2 |
25242.e |
25242d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{6} \cdot 3 \cdot 7^{4} \cdot 601^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7212$ |
$12$ |
$0$ |
$5.655445857$ |
$1$ |
|
$0$ |
$32256$ |
$0.833482$ |
$7648866341927/166510771392$ |
$0.90821$ |
$3.28189$ |
$[1, 0, 1, 410, -19336]$ |
\(y^2+xy+y=x^3+410x-19336\) |
2.3.0.a.1, 6.6.0.a.1, 2404.6.0.?, 7212.12.0.? |
$[(1536/5, 57176/5)]$ |
| 25242.f1 |
25242f2 |
25242.f |
25242f |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{2} \cdot 3 \cdot 7 \cdot 601^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$50484$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$1531152$ |
$2.810921$ |
$-6084472608417988103640049/2379033678299675392884$ |
$0.99367$ |
$5.68099$ |
$[1, 0, 0, -3803351, -3695953923]$ |
\(y^2+xy=x^3-3803351x-3695953923\) |
7.48.0-7.a.2.2, 50484.96.2.? |
$[]$ |
| 25242.f2 |
25242f1 |
25242.f |
25242f |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 601 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{7} \cdot 601 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$50484$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$218736$ |
$1.837967$ |
$-78731237277328508209/17734929828102144$ |
$0.95180$ |
$4.55210$ |
$[1, 0, 0, -89291, 12097137]$ |
\(y^2+xy=x^3-89291x+12097137\) |
7.48.0-7.a.1.2, 50484.96.2.? |
$[]$ |
