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 |
97020.h1 |
97020e1 |
97020.h |
97020e |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{5} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1.551743161$ |
$1$ |
|
$2$ |
$224640$ |
$1.307842$ |
$4248502272/34375$ |
$1.14086$ |
$3.61365$ |
$[0, 0, 0, -21168, 1177092]$ |
\(y^2=x^3-21168x+1177092\) |
330.2.0.? |
$[(72, 162)]$ |
97020.bc1 |
97020b1 |
97020.bc |
97020b |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$6.204583688$ |
$1$ |
|
$0$ |
$524160$ |
$1.731491$ |
$4248502272/34375$ |
$1.14086$ |
$4.05638$ |
$[0, 0, 0, -115248, 14953428]$ |
\(y^2=x^3-115248x+14953428\) |
330.2.0.? |
$[(417/2, 16143/2)]$ |
97020.bu1 |
97020o1 |
97020.bu |
97020o |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{5} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1.434527563$ |
$1$ |
|
$4$ |
$1572480$ |
$2.280796$ |
$4248502272/34375$ |
$1.14086$ |
$4.63044$ |
$[0, 0, 0, -1037232, -403742556]$ |
\(y^2=x^3-1037232x-403742556\) |
330.2.0.? |
$[(-612, 1350)]$ |
97020.cs1 |
97020x1 |
97020.cs |
97020x |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1.043833125$ |
$1$ |
|
$2$ |
$74880$ |
$0.758536$ |
$4248502272/34375$ |
$1.14086$ |
$3.03959$ |
$[0, 0, 0, -2352, -43596]$ |
\(y^2=x^3-2352x-43596\) |
330.2.0.? |
$[(-27, 15)]$ |
388080.bw1 |
388080bw1 |
388080.bw |
388080bw |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2096640$ |
$1.731491$ |
$4248502272/34375$ |
$1.14086$ |
$3.61941$ |
$[0, 0, 0, -115248, -14953428]$ |
\(y^2=x^3-115248x-14953428\) |
330.2.0.? |
$[]$ |
388080.fy1 |
388080fy1 |
388080.fy |
388080fy |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{5} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$898560$ |
$1.307842$ |
$4248502272/34375$ |
$1.14086$ |
$3.22437$ |
$[0, 0, 0, -21168, -1177092]$ |
\(y^2=x^3-21168x-1177092\) |
330.2.0.? |
$[]$ |
388080.jt1 |
388080jt1 |
388080.jt |
388080jt |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 7^{2} \cdot 11 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$0.685069419$ |
$1$ |
|
$12$ |
$299520$ |
$0.758536$ |
$4248502272/34375$ |
$1.14086$ |
$2.71216$ |
$[0, 0, 0, -2352, 43596]$ |
\(y^2=x^3-2352x+43596\) |
330.2.0.? |
$[(22, 50), (-3, 225)]$ |
388080.nc1 |
388080nc1 |
388080.nc |
388080nc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{5} \cdot 7^{8} \cdot 11 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1.027224567$ |
$1$ |
|
$12$ |
$6289920$ |
$2.280796$ |
$4248502272/34375$ |
$1.14086$ |
$4.13163$ |
$[0, 0, 0, -1037232, 403742556]$ |
\(y^2=x^3-1037232x+403742556\) |
330.2.0.? |
$[(882, 13230), (490, 3626)]$ |
485100.bj1 |
485100bj1 |
485100.bj |
485100bj |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{11} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$2.546410724$ |
$1$ |
|
$2$ |
$5391360$ |
$2.112560$ |
$4248502272/34375$ |
$1.14086$ |
$3.90701$ |
$[0, 0, 0, -529200, 147136500]$ |
\(y^2=x^3-529200x+147136500\) |
330.2.0.? |
$[(205, 6875)]$ |
485100.cg1 |
485100cg1 |
485100.cg |
485100cg |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{11} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37739520$ |
$3.085518$ |
$4248502272/34375$ |
$1.14086$ |
$4.79880$ |
$[0, 0, 0, -25930800, -50467819500]$ |
\(y^2=x^3-25930800x-50467819500\) |
330.2.0.? |
$[]$ |
485100.fz1 |
485100fz1 |
485100.fz |
485100fz |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{11} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1797120$ |
$1.563255$ |
$4248502272/34375$ |
$1.14086$ |
$3.40352$ |
$[0, 0, 0, -58800, -5449500]$ |
\(y^2=x^3-58800x-5449500\) |
330.2.0.? |
$[]$ |
485100.gh1 |
485100gh1 |
485100.gh |
485100gh |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{11} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$0.587767894$ |
$1$ |
|
$4$ |
$12579840$ |
$2.536209$ |
$4248502272/34375$ |
$1.14086$ |
$4.29532$ |
$[0, 0, 0, -2881200, 1869178500]$ |
\(y^2=x^3-2881200x+1869178500\) |
330.2.0.? |
$[(-980, 61250)]$ |