| 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.g2 |
424830g1 |
424830.g |
424830g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1.825317203$ |
$1$ |
|
$2$ |
$979776$ |
$1.176186$ |
$-22434194041/843750$ |
$0.93581$ |
$3.01876$ |
$[1, 1, 0, -9398, 358002]$ |
\(y^2+xy=x^3+x^2-9398x+358002\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 24.8.0.d.1, 168.16.0.? |
$[(31, 297)]$ |
| 424830.s2 |
424830s1 |
424830.s |
424830s |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$92.67235352$ |
$1$ |
|
$0$ |
$116593344$ |
$3.565750$ |
$-22434194041/843750$ |
$0.93581$ |
$5.23142$ |
$[1, 1, 0, -133092453, -609944793093]$ |
\(y^2+xy=x^3+x^2-133092453x-609944793093\) |
3.4.0.a.1, 24.8.0.d.1, 51.8.0-3.a.1.2, 408.16.0.? |
$[(131550657167158741818485683921739523696281/3135267653446529264, 2169072078607589121481446317898823979295740270200302272674283/3135267653446529264)]$ |
| 424830.dt2 |
424830dt1 |
424830.dt |
424830dt |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6858432$ |
$2.149143$ |
$-22434194041/843750$ |
$0.93581$ |
$3.91969$ |
$[1, 0, 1, -460528, -124176244]$ |
\(y^2+xy+y=x^3-460528x-124176244\) |
3.8.0-3.a.1.2, 24.16.0-24.d.1.8 |
$[]$ |
| 424830.ej2 |
424830ej1 |
424830.ej |
424830ej |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16656192$ |
$2.592793$ |
$-22434194041/843750$ |
$0.93581$ |
$4.33049$ |
$[1, 0, 1, -2716173, 1777876678]$ |
\(y^2+xy+y=x^3-2716173x+1777876678\) |
3.4.0.a.1, 24.8.0.d.1, 357.8.0.?, 2856.16.0.? |
$[]$ |
