| 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 |
| 30446.a2 |
30446f1 |
30446.a |
30446f |
$3$ |
$9$ |
\( 2 \cdot 13 \cdot 1171 \) |
\( - 2^{6} \cdot 13^{9} \cdot 1171 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$274014$ |
$144$ |
$3$ |
$2.488225285$ |
$1$ |
|
$6$ |
$111456$ |
$1.587233$ |
$-4989910628484015625/794743601010112$ |
$0.94509$ |
$4.19394$ |
$[1, 0, 1, -35601, 2916644]$ |
\(y^2+xy+y=x^3-35601x+2916644\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 10539.72.0.?, 30446.2.0.?, 91338.16.0.?, $\ldots$ |
$[(-221, 58)]$ |
| 243568.s2 |
243568s1 |
243568.s |
243568s |
$3$ |
$9$ |
\( 2^{4} \cdot 13 \cdot 1171 \) |
\( - 2^{18} \cdot 13^{9} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$548028$ |
$144$ |
$3$ |
$3.438704279$ |
$1$ |
|
$0$ |
$2674944$ |
$2.280380$ |
$-4989910628484015625/794743601010112$ |
$0.94509$ |
$4.16143$ |
$[0, -1, 0, -569608, -186665232]$ |
\(y^2=x^3-x^2-569608x-186665232\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 10539.36.0.?, $\ldots$ |
$[(15028/3, 1600768/3)]$ |
| 274014.q2 |
274014q1 |
274014.q |
274014q |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 1171 \) |
\( - 2^{6} \cdot 3^{6} \cdot 13^{9} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.3 |
3B.1.2 |
$274014$ |
$144$ |
$3$ |
$1.097380023$ |
$1$ |
|
$4$ |
$2674944$ |
$2.136539$ |
$-4989910628484015625/794743601010112$ |
$0.94509$ |
$3.98443$ |
$[1, -1, 1, -320405, -78749395]$ |
\(y^2+xy+y=x^3-x^2-320405x-78749395\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 10539.72.0.?, 30446.2.0.?, 91338.16.0.?, $\ldots$ |
$[(6435, 510880)]$ |
| 395798.o2 |
395798o1 |
395798.o |
395798o |
$3$ |
$9$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{6} \cdot 13^{15} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$274014$ |
$144$ |
$3$ |
$1.957869595$ |
$1$ |
|
$0$ |
$18724608$ |
$2.869709$ |
$-4989910628484015625/794743601010112$ |
$0.94509$ |
$4.55336$ |
$[1, 0, 0, -6016488, 6413883904]$ |
\(y^2+xy=x^3-6016488x+6413883904\) |
3.4.0.a.1, 9.12.0.a.1, 39.8.0-3.a.1.1, 117.24.0.?, 7026.8.0.?, $\ldots$ |
$[(45486/5, 4713094/5)]$ |
