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 |
438048.m1 |
438048m1 |
438048.m |
438048m |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{4} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$936$ |
$12$ |
$0$ |
$4.959414020$ |
$1$ |
|
$4$ |
$898560$ |
$1.368561$ |
$22464$ |
$0.58874$ |
$3.17856$ |
$[0, 0, 0, -19773, -1028196]$ |
\(y^2=x^3-19773x-1028196\) |
2.2.0.a.1, 24.4.0-2.a.1.1, 234.6.0.?, 936.12.0.? |
$[(169, 676), (-845/3, 676/3)]$ |
438048.n1 |
438048n1 |
438048.n |
438048n |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{4} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$936$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$0.635391$ |
$22464$ |
$0.58874$ |
$2.50128$ |
$[0, 0, 0, -1053, -12636]$ |
\(y^2=x^3-1053x-12636\) |
2.2.0.a.1, 104.4.0.?, 234.6.0.?, 936.12.0.? |
$[]$ |
438048.q1 |
438048q1 |
438048.q |
438048q |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{4} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$936$ |
$12$ |
$0$ |
$2.796287529$ |
$1$ |
|
$2$ |
$207360$ |
$0.635391$ |
$22464$ |
$0.58874$ |
$2.50128$ |
$[0, 0, 0, -1053, 12636]$ |
\(y^2=x^3-1053x+12636\) |
2.2.0.a.1, 104.4.0.?, 234.6.0.?, 936.12.0.? |
$[(25, 44)]$ |
438048.r1 |
438048r1 |
438048.r |
438048r |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{4} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$936$ |
$12$ |
$0$ |
$0.761134964$ |
$1$ |
|
$2$ |
$898560$ |
$1.368561$ |
$22464$ |
$0.58874$ |
$3.17856$ |
$[0, 0, 0, -19773, 1028196]$ |
\(y^2=x^3-19773x+1028196\) |
2.2.0.a.1, 24.4.0-2.a.1.1, 234.6.0.?, 936.12.0.? |
$[(0, 1014)]$ |
438048.w1 |
438048w1 |
438048.w |
438048w |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{4} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$936$ |
$12$ |
$0$ |
$1.072616849$ |
$1$ |
|
$10$ |
$69120$ |
$0.086085$ |
$22464$ |
$0.58874$ |
$1.99384$ |
$[0, 0, 0, -117, 468]$ |
\(y^2=x^3-117x+468\) |
2.2.0.a.1, 234.6.0.?, 312.4.0.?, 936.12.0.? |
$[(3, 12), (9, 12)]$ |
438048.x1 |
438048x1 |
438048.x |
438048x |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{4} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$936$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2695680$ |
$1.917866$ |
$22464$ |
$0.58874$ |
$3.68600$ |
$[0, 0, 0, -177957, 27761292]$ |
\(y^2=x^3-177957x+27761292\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 234.6.0.?, 936.12.0.? |
$[]$ |
438048.ba1 |
438048ba1 |
438048.ba |
438048ba |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{4} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.4.0.1 |
2Cn |
$936$ |
$12$ |
$0$ |
$6.839918093$ |
$1$ |
|
$0$ |
$2695680$ |
$1.917866$ |
$22464$ |
$0.58874$ |
$3.68600$ |
$[0, 0, 0, -177957, -27761292]$ |
\(y^2=x^3-177957x-27761292\) |
2.2.0.a.1, 8.4.0-2.a.1.1, 234.6.0.?, 936.12.0.? |
$[(28561/7, 2797964/7)]$ |
438048.bb1 |
438048bb1 |
438048.bb |
438048bb |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{4} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$936$ |
$12$ |
$0$ |
$4.012604616$ |
$1$ |
|
$0$ |
$69120$ |
$0.086085$ |
$22464$ |
$0.58874$ |
$1.99384$ |
$[0, 0, 0, -117, -468]$ |
\(y^2=x^3-117x-468\) |
2.2.0.a.1, 234.6.0.?, 312.4.0.?, 936.12.0.? |
$[(-56/3, 118/3)]$ |