| 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.a1 |
30446f3 |
30446.a |
30446f |
$3$ |
$9$ |
\( 2 \cdot 13 \cdot 1171 \) |
\( - 2^{54} \cdot 13 \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$274014$ |
$144$ |
$3$ |
$22.39402757$ |
$1$ |
|
$0$ |
$1003104$ |
$2.685844$ |
$-6044818473864897584091625/274233188509844242432$ |
$0.96824$ |
$5.53451$ |
$[1, 0, 1, -3795071, -2955377838]$ |
\(y^2+xy+y=x^3-3795071x-2955377838\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 10539.72.0.?, 30446.2.0.?, 91338.16.0.?, $\ldots$ |
$[(41015969251447/134673, 10445305762936355956/134673)]$ |
| 243568.s1 |
243568s3 |
243568.s |
243568s |
$3$ |
$9$ |
\( 2^{4} \cdot 13 \cdot 1171 \) |
\( - 2^{66} \cdot 13 \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$548028$ |
$144$ |
$3$ |
$30.94833851$ |
$1$ |
|
$0$ |
$24074496$ |
$3.378990$ |
$-6044818473864897584091625/274233188509844242432$ |
$0.96824$ |
$5.27725$ |
$[0, -1, 0, -60721128, 189144181616]$ |
\(y^2=x^3-x^2-60721128x+189144181616\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 10539.36.0.?, $\ldots$ |
$[(1074028704009019684/16632975, 502151327995569769176629248/16632975)]$ |
| 274014.q1 |
274014q3 |
274014.q |
274014q |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 1171 \) |
\( - 2^{54} \cdot 3^{6} \cdot 13 \cdot 1171 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.1 |
3B.1.1 |
$274014$ |
$144$ |
$3$ |
$9.876420214$ |
$1$ |
|
$2$ |
$24074496$ |
$3.235149$ |
$-6044818473864897584091625/274233188509844242432$ |
$0.96824$ |
$5.08975$ |
$[1, -1, 1, -34155635, 79795201619]$ |
\(y^2+xy+y=x^3-x^2-34155635x+79795201619\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 10539.72.0.?, 30446.2.0.?, 91338.16.0.?, $\ldots$ |
$[(62853/4, 4925773/4)]$ |
| 395798.o1 |
395798o3 |
395798.o |
395798o |
$3$ |
$9$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{54} \cdot 13^{7} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$274014$ |
$144$ |
$3$ |
$1.957869595$ |
$1$ |
|
$0$ |
$168521472$ |
$3.968319$ |
$-6044818473864897584091625/274233188509844242432$ |
$0.96824$ |
$5.62715$ |
$[1, 0, 0, -641366918, -6492323742620]$ |
\(y^2+xy=x^3-641366918x-6492323742620\) |
3.4.0.a.1, 9.12.0.a.1, 39.8.0-3.a.1.2, 117.24.0.?, 7026.8.0.?, $\ldots$ |
$[(907724/5, 529358722/5)]$ |
