| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 66066.be1 |
66066bg1 |
66066.be |
66066bg |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7 \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1092$ |
$16$ |
$0$ |
$4.471945130$ |
$1$ |
|
$4$ |
$342144$ |
$1.642847$ |
$-4165894731625/39312$ |
$0.90478$ |
$4.34667$ |
$1$ |
$[1, 0, 1, -200621, 34570424]$ |
\(y^2+xy+y=x^3-200621x+34570424\) |
3.8.0-3.a.1.2, 1092.16.0.? |
$[(167, 2310)]$ |
$1$ |
| 66066.co1 |
66066ch1 |
66066.co |
66066ch |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7 \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12012$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31104$ |
$0.443899$ |
$-4165894731625/39312$ |
$0.90478$ |
$3.05033$ |
$1$ |
$[1, 0, 0, -1658, -26124]$ |
\(y^2+xy=x^3-1658x-26124\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 1092.8.0.?, 12012.16.0.? |
$[ ]$ |
$1$ |
| 198198.bb1 |
198198dm1 |
198198.bb |
198198dm |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7 \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12012$ |
$16$ |
$0$ |
$0.727230685$ |
$1$ |
|
$4$ |
$248832$ |
$0.993205$ |
$-4165894731625/39312$ |
$0.90478$ |
$3.31601$ |
$1$ |
$[1, -1, 0, -14922, 705348]$ |
\(y^2+xy=x^3-x^2-14922x+705348\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 1092.8.0.?, 12012.16.0.? |
$[(72, -18)]$ |
$1$ |
| 198198.dz1 |
198198n1 |
198198.dz |
198198n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7 \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1092$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2737152$ |
$2.192154$ |
$-4165894731625/39312$ |
$0.90478$ |
$4.49559$ |
$1$ |
$[1, -1, 1, -1805585, -933401455]$ |
\(y^2+xy+y=x^3-x^2-1805585x-933401455\) |
3.8.0-3.a.1.1, 1092.16.0.? |
$[ ]$ |
$1$ |
| 462462.z1 |
462462z1 |
462462.z |
462462z |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{7} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1092$ |
$16$ |
$0$ |
$10.37202593$ |
$1$ |
|
$0$ |
$16422912$ |
$2.615803$ |
$-4165894731625/39312$ |
$0.90478$ |
$4.59331$ |
$1$ |
$[1, 1, 0, -9830405, -11867485923]$ |
\(y^2+xy=x^3+x^2-9830405x-11867485923\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 156.8.0.?, 1092.16.0.? |
$[(7595902/43, 10233628353/43)]$ |
$1$ |
| 462462.gp1 |
462462gp1 |
462462.gp |
462462gp |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{7} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12012$ |
$16$ |
$0$ |
$0.903075642$ |
$1$ |
|
$2$ |
$1492992$ |
$1.416853$ |
$-4165894731625/39312$ |
$0.90478$ |
$3.49035$ |
$1$ |
$[1, 1, 1, -81243, 8879289]$ |
\(y^2+xy+y=x^3+x^2-81243x+8879289\) |
3.4.0.a.1, 231.8.0.?, 1092.8.0.?, 1716.8.0.?, 12012.16.0.? |
$[(153, 168)]$ |
$1$ |