| 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 |
| 163592.bo1 |
163592u1 |
163592.bo |
163592u |
$1$ |
$1$ |
\( 2^{3} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$572$ |
$4$ |
$0$ |
$2.301758961$ |
$1$ |
|
$2$ |
$42624$ |
$0.089645$ |
$572$ |
$0.63293$ |
$1.99164$ |
$[0, -1, 0, 48, -196]$ |
\(y^2=x^3-x^2+48x-196\) |
4.2.0.a.1, 572.4.0.? |
$[(5, 12)]$ |
| 163592.bq1 |
163592br1 |
163592.bq |
163592br |
$1$ |
$1$ |
\( 2^{3} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$52$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$468864$ |
$1.288593$ |
$572$ |
$0.63293$ |
$3.19007$ |
$[0, -1, 0, 5768, 237756]$ |
\(y^2=x^3-x^2+5768x+237756\) |
4.2.0.a.1, 52.4.0-4.a.1.1 |
$[ ]$ |
| 163592.br1 |
163592w1 |
163592.br |
163592w |
$1$ |
$1$ |
\( 2^{3} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$17.60932904$ |
$1$ |
|
$0$ |
$6095232$ |
$2.571068$ |
$572$ |
$0.63293$ |
$4.47200$ |
$[0, -1, 0, 974736, 526248956]$ |
\(y^2=x^3-x^2+974736x+526248956\) |
4.4.0-4.a.1.1 |
$[(608724581/745, 22318441097304/745)]$ |
| 163592.bs1 |
163592bs1 |
163592.bs |
163592bs |
$1$ |
$1$ |
\( 2^{3} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$44$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$554112$ |
$1.372120$ |
$572$ |
$0.63293$ |
$3.27357$ |
$[0, -1, 0, 8056, -398308]$ |
\(y^2=x^3-x^2+8056x-398308\) |
4.2.0.a.1, 44.4.0-4.a.1.1 |
$[ ]$ |
| 327184.g1 |
327184g1 |
327184.g |
327184g |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{8} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$52$ |
$4$ |
$0$ |
$3.211621063$ |
$1$ |
|
$8$ |
$937728$ |
$1.288593$ |
$572$ |
$0.63293$ |
$3.01594$ |
$[0, 1, 0, 5768, -237756]$ |
\(y^2=x^3+x^2+5768x-237756\) |
4.2.0.a.1, 52.4.0-4.a.1.1 |
$[(40, 242), (879/5, 12342/5)]$ |
| 327184.k1 |
327184k1 |
327184.k |
327184k |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$572$ |
$4$ |
$0$ |
$3.047643663$ |
$1$ |
|
$6$ |
$85248$ |
$0.089645$ |
$572$ |
$0.63293$ |
$1.88292$ |
$[0, 1, 0, 48, 196]$ |
\(y^2=x^3+x^2+48x+196\) |
4.2.0.a.1, 572.4.0.? |
$[(0, 14), (8, 34)]$ |
| 327184.y1 |
327184y1 |
327184.y |
327184y |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{2} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$44$ |
$4$ |
$0$ |
$4.735272387$ |
$1$ |
|
$6$ |
$1108224$ |
$1.372120$ |
$572$ |
$0.63293$ |
$3.09487$ |
$[0, 1, 0, 8056, 398308]$ |
\(y^2=x^3+x^2+8056x+398308\) |
4.2.0.a.1, 44.4.0-4.a.1.1 |
$[(56, 1014), (151, 2254)]$ |
| 327184.bc1 |
327184bc1 |
327184.bc |
327184bc |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 11^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$12190464$ |
$2.571068$ |
$572$ |
$0.63293$ |
$4.22789$ |
$[0, 1, 0, 974736, -526248956]$ |
\(y^2=x^3+x^2+974736x-526248956\) |
4.4.0-4.a.1.1 |
$[ ]$ |
