| 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 |
Manin constant |
| 60990.bh2 |
60990bj1 |
60990.bh |
60990bj |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 5 \cdot 19 \cdot 107 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{9} \cdot 19^{3} \cdot 107 \) |
$1$ |
$\Z/9\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.72.0.5 |
3B.1.1 |
$731880$ |
$144$ |
$3$ |
$2.495055653$ |
$1$ |
|
$18$ |
$1469664$ |
$2.358532$ |
$-1367453954870275397761/14445609579000000000$ |
$0.97308$ |
$4.68531$ |
$[1, 0, 0, -231240, 187785792]$ |
\(y^2+xy=x^3-231240x+187785792\) |
3.8.0-3.a.1.2, 9.72.0-9.d.1.2, 243960.16.0.?, 731880.144.3.? |
$[(-696, 3768)]$ |
$1$ |
| 182970.e2 |
182970bq1 |
182970.e |
182970bq |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \cdot 107 \) |
\( - 2^{9} \cdot 3^{15} \cdot 5^{9} \cdot 19^{3} \cdot 107 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.11 |
3B.1.2 |
$731880$ |
$144$ |
$3$ |
$13.18910330$ |
$1$ |
|
$6$ |
$11757312$ |
$2.907837$ |
$-1367453954870275397761/14445609579000000000$ |
$0.97308$ |
$4.80451$ |
$[1, -1, 0, -2081160, -5070216384]$ |
\(y^2+xy=x^3-x^2-2081160x-5070216384\) |
3.8.0-3.a.1.1, 9.72.0-9.d.1.1, 243960.16.0.?, 731880.144.3.? |
$[(2925, 116271), (30627, 5338098)]$ |
$1$ |
| 304950.p2 |
304950p1 |
304950.p |
304950p |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 107 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{15} \cdot 19^{3} \cdot 107 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$731880$ |
$144$ |
$3$ |
$12.29545061$ |
$1$ |
|
$0$ |
$35271936$ |
$3.163250$ |
$-1367453954870275397761/14445609579000000000$ |
$0.97308$ |
$4.85287$ |
$[1, 1, 0, -5781000, 23473224000]$ |
\(y^2+xy=x^3+x^2-5781000x+23473224000\) |
3.4.0.a.1, 9.36.0.d.1, 15.8.0-3.a.1.2, 45.72.0-9.d.1.2, 48792.8.0.?, $\ldots$ |
$[(1087135/2, 1132381415/2)]$ |
$1$ |
| 487920.bq2 |
487920bq1 |
487920.bq |
487920bq |
$3$ |
$9$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19 \cdot 107 \) |
\( - 2^{21} \cdot 3^{9} \cdot 5^{9} \cdot 19^{3} \cdot 107 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$731880$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$35271936$ |
$3.051678$ |
$-1367453954870275397761/14445609579000000000$ |
$0.97308$ |
$4.57651$ |
$[0, -1, 0, -3699840, -12018290688]$ |
\(y^2=x^3-x^2-3699840x-12018290688\) |
3.4.0.a.1, 9.36.0.d.1, 12.8.0-3.a.1.1, 36.72.0-9.d.1.1, 243960.16.0.?, $\ldots$ |
$[ ]$ |
$1$ |
