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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
97020.j1 |
97020g2 |
97020.j |
97020g |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$2.061298498$ |
$1$ |
|
$2$ |
$248832$ |
$1.301380$ |
$-3704530032/33275$ |
$[0, 0, 0, -20223, 1115478]$ |
\(y^2=x^3-20223x+1115478\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 132.8.0.?, 924.16.0.? |
$[(114, 540)]$ |
97020.w1 |
97020c1 |
97020.w |
97020c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$132$ |
$16$ |
$0$ |
$0.957352866$ |
$1$ |
|
$10$ |
$580608$ |
$1.725029$ |
$-3704530032/33275$ |
$[0, 0, 0, -110103, 14170702]$ |
\(y^2=x^3-110103x+14170702\) |
3.8.0-3.a.1.2, 132.16.0.? |
$[(191, 330)]$ |
97020.bs1 |
97020p2 |
97020.bs |
97020p |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$132$ |
$16$ |
$0$ |
$8.196945993$ |
$1$ |
|
$0$ |
$1741824$ |
$2.274334$ |
$-3704530032/33275$ |
$[0, 0, 0, -990927, -382608954]$ |
\(y^2=x^3-990927x-382608954\) |
3.8.0-3.a.1.1, 132.16.0.? |
$[(39873/2, 7920585/2)]$ |
97020.cv1 |
97020z1 |
97020.cv |
97020z |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$0.670863714$ |
$1$ |
|
$4$ |
$82944$ |
$0.752074$ |
$-3704530032/33275$ |
$[0, 0, 0, -2247, -41314]$ |
\(y^2=x^3-2247x-41314\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 132.8.0.?, 924.16.0.? |
$[(67, 330)]$ |
388080.t1 |
388080t1 |
388080.t |
388080t |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2322432$ |
$1.725029$ |
$-3704530032/33275$ |
$[0, 0, 0, -110103, -14170702]$ |
\(y^2=x^3-110103x-14170702\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 66.8.0-3.a.1.2, 132.16.0.? |
$[]$ |
388080.ha1 |
388080ha2 |
388080.ha |
388080ha |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$995328$ |
$1.301380$ |
$-3704530032/33275$ |
$[0, 0, 0, -20223, -1115478]$ |
\(y^2=x^3-20223x-1115478\) |
3.4.0.a.1, 84.8.0.?, 132.8.0.?, 462.8.0.?, 924.16.0.? |
$[]$ |
388080.kx1 |
388080kx1 |
388080.kx |
388080kx |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$0.752074$ |
$-3704530032/33275$ |
$[0, 0, 0, -2247, 41314]$ |
\(y^2=x^3-2247x+41314\) |
3.4.0.a.1, 84.8.0.?, 132.8.0.?, 462.8.0.?, 924.16.0.? |
$[]$ |
388080.mj1 |
388080mj2 |
388080.mj |
388080mj |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6967296$ |
$2.274334$ |
$-3704530032/33275$ |
$[0, 0, 0, -990927, 382608954]$ |
\(y^2=x^3-990927x+382608954\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 66.8.0-3.a.1.1, 132.16.0.? |
$[]$ |
485100.t1 |
485100t2 |
485100.t |
485100t |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$1.470849032$ |
$1$ |
|
$4$ |
$5971968$ |
$2.106098$ |
$-3704530032/33275$ |
$[0, 0, 0, -505575, 139434750]$ |
\(y^2=x^3-505575x+139434750\) |
3.4.0.a.1, 105.8.0.?, 132.8.0.?, 4620.16.0.? |
$[(435, 1350)]$ |
485100.cw1 |
485100cw2 |
485100.cw |
485100cw |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41803776$ |
$3.079056$ |
$-3704530032/33275$ |
$[0, 0, 0, -24773175, -47826119250]$ |
\(y^2=x^3-24773175x-47826119250\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 132.8.0.?, 660.16.0.? |
$[]$ |
485100.ek1 |
485100ek1 |
485100.ek |
485100ek |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1990656$ |
$1.556793$ |
$-3704530032/33275$ |
$[0, 0, 0, -56175, -5164250]$ |
\(y^2=x^3-56175x-5164250\) |
3.4.0.a.1, 105.8.0.?, 132.8.0.?, 4620.16.0.? |
$[]$ |
485100.ib1 |
485100ib1 |
485100.ib |
485100ib |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$4.101584819$ |
$1$ |
|
$0$ |
$13934592$ |
$2.529747$ |
$-3704530032/33275$ |
$[0, 0, 0, -2752575, 1771337750]$ |
\(y^2=x^3-2752575x+1771337750\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 132.8.0.?, 660.16.0.? |
$[(3985/2, 33825/2)]$ |