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 |
8036.a1 |
8036b1 |
8036.a |
8036b |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 7^{4} \cdot 41^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1148$ |
$12$ |
$0$ |
$0.127433327$ |
$1$ |
|
$20$ |
$2448$ |
$0.350246$ |
$373698304/1681$ |
$0.83444$ |
$3.36924$ |
$[0, -1, 0, -506, 4537]$ |
\(y^2=x^3-x^2-506x+4537\) |
2.2.0.a.1, 14.6.0.a.1, 164.4.0.?, 1148.12.0.? |
$[(12, 7), (6, 41)]$ |
8036.e1 |
8036e1 |
8036.e |
8036e |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 7^{10} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1148$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17136$ |
$1.323202$ |
$373698304/1681$ |
$0.83444$ |
$4.66772$ |
$[0, 1, 0, -24810, -1506583]$ |
\(y^2=x^3+x^2-24810x-1506583\) |
2.2.0.a.1, 14.6.0.a.1, 1148.12.0.? |
$[]$ |
32144.l1 |
32144x1 |
32144.l |
32144x |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 7^{10} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1148$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$68544$ |
$1.323202$ |
$373698304/1681$ |
$0.83444$ |
$4.04420$ |
$[0, -1, 0, -24810, 1506583]$ |
\(y^2=x^3-x^2-24810x+1506583\) |
2.2.0.a.1, 14.6.0.a.1, 1148.12.0.? |
$[]$ |
32144.w1 |
32144j1 |
32144.w |
32144j |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 7^{4} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1148$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9792$ |
$0.350246$ |
$373698304/1681$ |
$0.83444$ |
$2.91918$ |
$[0, 1, 0, -506, -4537]$ |
\(y^2=x^3+x^2-506x-4537\) |
2.2.0.a.1, 14.6.0.a.1, 164.4.0.?, 1148.12.0.? |
$[]$ |
72324.l1 |
72324i1 |
72324.l |
72324i |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{10} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$3444$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$514080$ |
$1.872507$ |
$373698304/1681$ |
$0.83444$ |
$4.34022$ |
$[0, 0, 0, -223293, 40454449]$ |
\(y^2=x^3-223293x+40454449\) |
2.2.0.a.1, 14.6.0.a.1, 3444.12.0.? |
$[]$ |
72324.p1 |
72324d1 |
72324.p |
72324d |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$3444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73440$ |
$0.899552$ |
$373698304/1681$ |
$0.83444$ |
$3.29673$ |
$[0, 0, 0, -4557, -117943]$ |
\(y^2=x^3-4557x-117943\) |
2.2.0.a.1, 14.6.0.a.1, 492.4.0.?, 3444.12.0.? |
$[]$ |
128576.ba1 |
128576bm1 |
128576.ba |
128576bm |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( 2^{10} \cdot 7^{10} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$2296$ |
$12$ |
$0$ |
$9.870281682$ |
$1$ |
|
$0$ |
$548352$ |
$1.669775$ |
$373698304/1681$ |
$0.83444$ |
$3.92115$ |
$[0, -1, 0, -99241, -11953423]$ |
\(y^2=x^3-x^2-99241x-11953423\) |
2.2.0.a.1, 14.6.0.a.1, 2296.12.0.? |
$[(-229984/35, 6870739/35)]$ |
128576.bc1 |
128576ca1 |
128576.bc |
128576ca |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( 2^{10} \cdot 7^{4} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$2296$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$78336$ |
$0.696820$ |
$373698304/1681$ |
$0.83444$ |
$2.92870$ |
$[0, -1, 0, -2025, -34271]$ |
\(y^2=x^3-x^2-2025x-34271\) |
2.2.0.a.1, 14.6.0.a.1, 328.4.0.?, 2296.12.0.? |
$[]$ |
128576.cb1 |
128576cs1 |
128576.cb |
128576cs |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( 2^{10} \cdot 7^{10} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$2296$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$548352$ |
$1.669775$ |
$373698304/1681$ |
$0.83444$ |
$3.92115$ |
$[0, 1, 0, -99241, 11953423]$ |
\(y^2=x^3+x^2-99241x+11953423\) |
2.2.0.a.1, 14.6.0.a.1, 2296.12.0.? |
$[]$ |
128576.cl1 |
128576c1 |
128576.cl |
128576c |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( 2^{10} \cdot 7^{4} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$2296$ |
$12$ |
$0$ |
$1.160010234$ |
$1$ |
|
$0$ |
$78336$ |
$0.696820$ |
$373698304/1681$ |
$0.83444$ |
$2.92870$ |
$[0, 1, 0, -2025, 34271]$ |
\(y^2=x^3+x^2-2025x+34271\) |
2.2.0.a.1, 14.6.0.a.1, 328.4.0.?, 2296.12.0.? |
$[(85/2, 287/2)]$ |
200900.b1 |
200900b1 |
200900.b |
200900b |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 5^{6} \cdot 7^{10} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$5740$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2399040$ |
$2.127922$ |
$373698304/1681$ |
$0.83444$ |
$4.22808$ |
$[0, -1, 0, -620258, -187082363]$ |
\(y^2=x^3-x^2-620258x-187082363\) |
2.2.0.a.1, 14.6.0.a.1, 5740.12.0.? |
$[]$ |
200900.j1 |
200900m1 |
200900.j |
200900m |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 5^{6} \cdot 7^{4} \cdot 41^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$5740$ |
$12$ |
$0$ |
$8.627228120$ |
$1$ |
|
$4$ |
$342720$ |
$1.154966$ |
$373698304/1681$ |
$0.83444$ |
$3.27191$ |
$[0, 1, 0, -12658, 541813]$ |
\(y^2=x^3+x^2-12658x+541813\) |
2.2.0.a.1, 14.6.0.a.1, 820.4.0.?, 5740.12.0.? |
$[(69, 41), (-123, 503)]$ |
289296.ca1 |
289296ca1 |
289296.ca |
289296ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{10} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$3444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2056320$ |
$1.872507$ |
$373698304/1681$ |
$0.83444$ |
$3.86175$ |
$[0, 0, 0, -223293, -40454449]$ |
\(y^2=x^3-223293x-40454449\) |
2.2.0.a.1, 14.6.0.a.1, 3444.12.0.? |
$[]$ |
289296.dq1 |
289296dq1 |
289296.dq |
289296dq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$3444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$293760$ |
$0.899552$ |
$373698304/1681$ |
$0.83444$ |
$2.93330$ |
$[0, 0, 0, -4557, 117943]$ |
\(y^2=x^3-4557x+117943\) |
2.2.0.a.1, 14.6.0.a.1, 492.4.0.?, 3444.12.0.? |
$[]$ |
329476.e1 |
329476e1 |
329476.e |
329476e |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 41^{2} \) |
\( 2^{4} \cdot 7^{10} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$28$ |
$12$ |
$0$ |
$10.66355053$ |
$1$ |
|
$0$ |
$28788480$ |
$3.179989$ |
$373698304/1681$ |
$0.83444$ |
$5.05713$ |
$[0, -1, 0, -41706170, -103251323111]$ |
\(y^2=x^3-x^2-41706170x-103251323111\) |
2.2.0.a.1, 14.6.0.a.1, 28.12.0-14.a.1.1 |
$[(-19761555/74, 6352931017/74)]$ |
329476.i1 |
329476i1 |
329476.i |
329476i |
$1$ |
$1$ |
\( 2^{2} \cdot 7^{2} \cdot 41^{2} \) |
\( 2^{4} \cdot 7^{4} \cdot 41^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.2 |
2Cn |
$28$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4112640$ |
$2.207031$ |
$373698304/1681$ |
$0.83444$ |
$4.13818$ |
$[0, 1, 0, -851146, 300781081]$ |
\(y^2=x^3+x^2-851146x+300781081\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 14.6.0.a.1, 28.12.0-14.a.1.3 |
$[]$ |