| 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 |
| 3240.a1 |
3240c1 |
3240.a |
3240c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 5 \) |
\( 2^{8} \cdot 3^{10} \cdot 5 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.166440809$ |
$1$ |
|
$8$ |
$576$ |
$0.202663$ |
$9216/5$ |
$0.81518$ |
$3.17443$ |
$[0, 0, 0, -108, -108]$ |
\(y^2=x^3-108x-108\) |
10.2.0.a.1 |
$[(-6, 18)]$ |
| 3240.b1 |
3240b1 |
3240.b |
3240b |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 5 \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.424509572$ |
$1$ |
|
$2$ |
$480$ |
$-0.051180$ |
$-18/25$ |
$1.45567$ |
$2.80739$ |
$[0, 0, 0, -3, -98]$ |
\(y^2=x^3-3x-98\) |
8.2.0.a.1 |
$[(6, 10)]$ |
| 3240.c1 |
3240a1 |
3240.c |
3240a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$10$ |
$30$ |
$0$ |
$0.951037831$ |
$1$ |
|
$4$ |
$960$ |
$0.436163$ |
$4543847424/3125$ |
$1.01085$ |
$3.98062$ |
$[0, 0, 0, -948, -11228]$ |
\(y^2=x^3-948x-11228\) |
5.5.0.a.1, 10.30.0.a.1, 20.120.6.a.1 |
$[(-18, 2)]$ |
| 3240.d1 |
3240e1 |
3240.d |
3240e |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.584029415$ |
$1$ |
|
$4$ |
$192$ |
$-0.346643$ |
$9216/5$ |
$0.81518$ |
$2.35897$ |
$[0, 0, 0, -12, 4]$ |
\(y^2=x^3-12x+4\) |
10.2.0.a.1 |
$[(0, 2)]$ |
| 3240.e1 |
3240d1 |
3240.e |
3240d |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 5 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$120$ |
$6$ |
$0.107006779$ |
$1$ |
|
$10$ |
$2880$ |
$0.985470$ |
$4543847424/3125$ |
$1.01085$ |
$4.79609$ |
$[0, 0, 0, -8532, 303156]$ |
\(y^2=x^3-8532x+303156\) |
5.5.0.a.1, 10.30.0.a.1, 20.120.6.a.1 |
$[(12, 450)]$ |
| 3240.f1 |
3240f1 |
3240.f |
3240f |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 5 \) |
\( - 2^{11} \cdot 3^{10} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.498127$ |
$-18/25$ |
$1.45567$ |
$3.62286$ |
$[0, 0, 0, -27, 2646]$ |
\(y^2=x^3-27x+2646\) |
8.2.0.a.1 |
$[]$ |
