| 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 |
| 12255.a3 |
12255a1 |
12255.a |
12255a |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 19 \cdot 43 \) |
\( 3^{12} \cdot 5^{2} \cdot 19 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$19608$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8256$ |
$0.628663$ |
$33042169120969/10854682425$ |
$0.87371$ |
$3.30676$ |
$[1, 1, 0, -668, -4653]$ |
\(y^2+xy=x^3+x^2-668x-4653\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 76.12.0.?, 172.12.0.?, $\ldots$ |
$[ ]$ |
| 36765.b3 |
36765a1 |
36765.b |
36765a |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 19 \cdot 43 \) |
\( 3^{18} \cdot 5^{2} \cdot 19 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$19608$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$66048$ |
$1.177969$ |
$33042169120969/10854682425$ |
$0.87371$ |
$3.58822$ |
$[1, -1, 1, -6017, 119616]$ |
\(y^2+xy+y=x^3-x^2-6017x+119616\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 228.12.0.?, 456.24.0.?, $\ldots$ |
$[ ]$ |
| 61275.f3 |
61275n1 |
61275.f |
61275n |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 19 \cdot 43 \) |
\( 3^{12} \cdot 5^{8} \cdot 19 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$98040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$198144$ |
$1.433382$ |
$33042169120969/10854682425$ |
$0.87371$ |
$3.69999$ |
$[1, 0, 0, -16713, -548208]$ |
\(y^2+xy=x^3-16713x-548208\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 380.12.0.?, 456.12.0.?, $\ldots$ |
$[ ]$ |
| 183825.q3 |
183825q1 |
183825.q |
183825q |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 19 \cdot 43 \) |
\( 3^{18} \cdot 5^{8} \cdot 19 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$98040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1585152$ |
$1.982689$ |
$33042169120969/10854682425$ |
$0.87371$ |
$3.90844$ |
$[1, -1, 0, -150417, 14801616]$ |
\(y^2+xy=x^3-x^2-150417x+14801616\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 456.12.0.?, 1032.12.0.?, $\ldots$ |
$[ ]$ |
| 196080.y3 |
196080l1 |
196080.y |
196080l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19 \cdot 43 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 19 \cdot 43 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19608$ |
$48$ |
$0$ |
$1.039008296$ |
$1$ |
|
$23$ |
$528384$ |
$1.321810$ |
$33042169120969/10854682425$ |
$0.87371$ |
$3.23697$ |
$[0, 1, 0, -10696, 276404]$ |
\(y^2=x^3+x^2-10696x+276404\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 76.12.0.?, 172.12.0.?, $\ldots$ |
$[(14, 360), (-106, 480)]$ |
| 232845.f3 |
232845f1 |
232845.f |
232845f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 19^{2} \cdot 43 \) |
\( 3^{12} \cdot 5^{2} \cdot 19^{7} \cdot 43 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19608$ |
$48$ |
$0$ |
$2.995918273$ |
$1$ |
|
$7$ |
$2972160$ |
$2.100883$ |
$33042169120969/10854682425$ |
$0.87371$ |
$3.94845$ |
$[1, 0, 0, -241336, 29984735]$ |
\(y^2+xy=x^3-241336x+29984735\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 456.24.0.?, 1032.24.0.?, 1634.6.0.?, $\ldots$ |
$[(-22, 5951)]$ |