| 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 |
| 424830.f1 |
424830f1 |
424830.f |
424830f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 7^{10} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$76.57575587$ |
$1$ |
|
$0$ |
$274827168$ |
$3.873264$ |
$-5831629329001/186624000$ |
$0.96675$ |
$5.52284$ |
$[1, 1, 0, -470124253, -4030659158147]$ |
\(y^2+xy=x^3+x^2-470124253x-4030659158147\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 40.2.0.a.1, 120.8.0.?, 840.16.0.? |
$[(7268970266344680094899830675185417/409318591295521, 517364494078126433023698422352390709735788872335849/409318591295521)]$ |
| 424830.t1 |
424830t1 |
424830.t |
424830t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$4.708643613$ |
$1$ |
|
$0$ |
$2309472$ |
$1.483704$ |
$-5831629329001/186624000$ |
$0.96675$ |
$3.31019$ |
$[1, 1, 0, -33198, 2377908]$ |
\(y^2+xy=x^3+x^2-33198x+2377908\) |
3.4.0.a.1, 40.2.0.a.1, 51.8.0-3.a.1.2, 120.8.0.?, 2040.16.0.? |
$[(159/2, 8319/2)]$ |
| 424830.du1 |
424830du1 |
424830.du |
424830du |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 7^{4} \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$39261024$ |
$2.900311$ |
$-5831629329001/186624000$ |
$0.96675$ |
$4.62192$ |
$[1, 0, 1, -9594373, 11749822256]$ |
\(y^2+xy+y=x^3-9594373x+11749822256\) |
3.8.0-3.a.1.2, 40.2.0.a.1, 120.16.0.? |
$[]$ |
| 424830.ei1 |
424830ei1 |
424830.ei |
424830ei |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16166304$ |
$2.456657$ |
$-5831629329001/186624000$ |
$0.96675$ |
$4.21111$ |
$[1, 0, 1, -1626728, -820502602]$ |
\(y^2+xy+y=x^3-1626728x-820502602\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 357.8.0.?, 14280.16.0.? |
$[]$ |
