| 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 |
| 55470.c1 |
55470d1 |
55470.c |
55470d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{4} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.300970987$ |
$1$ |
|
$4$ |
$21504$ |
$0.267900$ |
$6401711/101250$ |
$0.92118$ |
$2.42275$ |
$[1, 1, 0, 48, 666]$ |
\(y^2+xy=x^3+x^2+48x+666\) |
8.2.0.a.1 |
$[(-3, 24)]$ |
| 55470.bg1 |
55470be1 |
55470.bg |
55470be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{4} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$10.40758308$ |
$1$ |
|
$0$ |
$924672$ |
$2.148499$ |
$6401711/101250$ |
$0.92118$ |
$4.48867$ |
$[1, 0, 0, 87789, -51365709]$ |
\(y^2+xy=x^3+87789x-51365709\) |
8.2.0.a.1 |
$[(373821/4, 227829033/4)]$ |
| 166410.bg1 |
166410bt1 |
166410.bg |
166410bt |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{4} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.698684421$ |
$1$ |
|
$2$ |
$7397376$ |
$2.697807$ |
$6401711/101250$ |
$0.92118$ |
$4.62678$ |
$[1, -1, 0, 790101, 1386874143]$ |
\(y^2+xy=x^3-x^2+790101x+1386874143\) |
8.2.0.a.1 |
$[(207, 39384)]$ |
| 166410.bt1 |
166410l1 |
166410.bt |
166410l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{10} \cdot 5^{4} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172032$ |
$0.817205$ |
$6401711/101250$ |
$0.92118$ |
$2.74965$ |
$[1, -1, 1, 427, -17553]$ |
\(y^2+xy+y=x^3-x^2+427x-17553\) |
8.2.0.a.1 |
$[]$ |
| 277350.h1 |
277350h1 |
277350.h |
277350h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{10} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.058386279$ |
$1$ |
|
$2$ |
$22192128$ |
$2.953220$ |
$6401711/101250$ |
$0.92118$ |
$4.68275$ |
$[1, 1, 0, 2194725, -6420713625]$ |
\(y^2+xy=x^3+x^2+2194725x-6420713625\) |
8.2.0.a.1 |
$[(46995, 10169115)]$ |
| 277350.di1 |
277350di1 |
277350.di |
277350di |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{10} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$1.072618$ |
$6401711/101250$ |
$0.92118$ |
$2.88213$ |
$[1, 0, 0, 1187, 80867]$ |
\(y^2+xy=x^3+1187x+80867\) |
8.2.0.a.1 |
$[]$ |
| 443760.d1 |
443760d1 |
443760.d |
443760d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{4} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22192128$ |
$2.841648$ |
$6401711/101250$ |
$0.92118$ |
$4.41052$ |
$[0, -1, 0, 1404624, 3287405376]$ |
\(y^2=x^3-x^2+1404624x+3287405376\) |
8.2.0.a.1 |
$[]$ |
| 443760.dd1 |
443760dd1 |
443760.dd |
443760dd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{4} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.557012113$ |
$1$ |
|
$4$ |
$516096$ |
$0.961047$ |
$6401711/101250$ |
$0.92118$ |
$2.67499$ |
$[0, 1, 0, 760, -41100]$ |
\(y^2=x^3+x^2+760x-41100\) |
8.2.0.a.1 |
$[(70, 600)]$ |
