| 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 |
| 19074.u1 |
19074u1 |
19074.u |
19074u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.908831161$ |
$1$ |
|
$4$ |
$4608$ |
$-0.059588$ |
$-70945777/5808$ |
$0.85858$ |
$2.42248$ |
$[1, 1, 1, -57, -201]$ |
\(y^2+xy+y=x^3+x^2-57x-201\) |
6.2.0.a.1 |
$[(9, 6)]$ |
| 19074.be1 |
19074bf1 |
19074.be |
19074bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$78336$ |
$1.357018$ |
$-70945777/5808$ |
$0.85858$ |
$4.14723$ |
$[1, 0, 0, -16479, -871287]$ |
\(y^2+xy=x^3-16479x-871287\) |
6.2.0.a.1 |
$[ ]$ |
| 57222.c1 |
57222l1 |
57222.c |
57222l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 11^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.229639653$ |
$1$ |
|
$20$ |
$36864$ |
$0.489718$ |
$-70945777/5808$ |
$0.85858$ |
$2.78126$ |
$[1, -1, 0, -513, 4909]$ |
\(y^2+xy=x^3-x^2-513x+4909\) |
6.2.0.a.1 |
$[(5, 47), (14, 11)]$ |
| 57222.bb1 |
57222bb1 |
57222.bb |
57222bb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$626688$ |
$1.906324$ |
$-70945777/5808$ |
$0.85858$ |
$4.33304$ |
$[1, -1, 0, -148311, 23524749]$ |
\(y^2+xy=x^3-x^2-148311x+23524749\) |
6.2.0.a.1 |
$[ ]$ |
| 152592.e1 |
152592bk1 |
152592.e |
152592bk |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3 \cdot 11^{2} \cdot 17^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.012913774$ |
$1$ |
|
$14$ |
$1880064$ |
$2.050167$ |
$-70945777/5808$ |
$0.85858$ |
$4.12158$ |
$[0, -1, 0, -263664, 55762368]$ |
\(y^2=x^3-x^2-263664x+55762368\) |
6.2.0.a.1 |
$[(482, 6358), (2216, 101728)]$ |
| 152592.dg1 |
152592be1 |
152592.dg |
152592be |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.295152006$ |
$1$ |
|
$2$ |
$110592$ |
$0.633559$ |
$-70945777/5808$ |
$0.85858$ |
$2.69732$ |
$[0, 1, 0, -912, 11028]$ |
\(y^2=x^3+x^2-912x+11028\) |
6.2.0.a.1 |
$[(2, 96)]$ |
| 209814.x1 |
209814df1 |
209814.x |
209814df |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 11^{8} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.139359$ |
$-70945777/5808$ |
$0.85858$ |
$3.12254$ |
$[1, 1, 0, -6899, 232797]$ |
\(y^2+xy=x^3+x^2-6899x+232797\) |
6.2.0.a.1 |
$[ ]$ |
| 209814.bf1 |
209814bp1 |
209814.bf |
209814bp |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 11^{8} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9400320$ |
$2.555965$ |
$-70945777/5808$ |
$0.85858$ |
$4.50979$ |
$[1, 0, 1, -1993962, 1157689036]$ |
\(y^2+xy+y=x^3-1993962x+1157689036\) |
6.2.0.a.1 |
$[ ]$ |
| 457776.by1 |
457776by1 |
457776.by |
457776by |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{7} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$884736$ |
$1.182865$ |
$-70945777/5808$ |
$0.85858$ |
$2.97569$ |
$[0, 0, 0, -8211, -305966]$ |
\(y^2=x^3-8211x-305966\) |
6.2.0.a.1 |
$[ ]$ |
| 457776.ee1 |
457776ee1 |
457776.ee |
457776ee |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{7} \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15040512$ |
$2.599472$ |
$-70945777/5808$ |
$0.85858$ |
$4.27991$ |
$[0, 0, 0, -2372979, -1503210958]$ |
\(y^2=x^3-2372979x-1503210958\) |
6.2.0.a.1 |
$[ ]$ |
| 476850.a1 |
476850a1 |
476850.a |
476850a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{6} \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10027008$ |
$2.161736$ |
$-70945777/5808$ |
$0.85858$ |
$3.86480$ |
$[1, 1, 0, -411975, -108910875]$ |
\(y^2+xy=x^3+x^2-411975x-108910875\) |
6.2.0.a.1 |
$[ ]$ |
| 476850.ft1 |
476850ft1 |
476850.ft |
476850ft |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{6} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.652403961$ |
$1$ |
|
$2$ |
$589824$ |
$0.745131$ |
$-70945777/5808$ |
$0.85858$ |
$2.56466$ |
$[1, 0, 1, -1426, -22252]$ |
\(y^2+xy+y=x^3-1426x-22252\) |
6.2.0.a.1 |
$[(1257, 43921)]$ |
