| 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.c2 |
8036f2 |
8036.c |
8036f |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 7^{2} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.404114$ |
$115393712/68921$ |
$0.86737$ |
$3.11408$ |
$[0, -1, 0, 236, -328]$ |
\(y^2=x^3-x^2+236x-328\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 164.2.0.?, 492.8.0.?, 3444.16.0.? |
$[]$ |
| 8036.d2 |
8036a2 |
8036.d |
8036a |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 7^{8} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$492$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.377069$ |
$115393712/68921$ |
$0.86737$ |
$4.41256$ |
$[0, 1, 0, 11548, 89396]$ |
\(y^2=x^3+x^2+11548x+89396\) |
3.8.0-3.a.1.1, 164.2.0.?, 492.16.0.? |
$[]$ |
| 32144.g2 |
32144k2 |
32144.g |
32144k |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 7^{8} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.377069$ |
$115393712/68921$ |
$0.86737$ |
$3.82313$ |
$[0, -1, 0, 11548, -89396]$ |
\(y^2=x^3-x^2+11548x-89396\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 164.2.0.?, 246.8.0.?, 492.16.0.? |
$[]$ |
| 32144.y2 |
32144v2 |
32144.y |
32144v |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 7^{2} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.404114$ |
$115393712/68921$ |
$0.86737$ |
$2.69810$ |
$[0, 1, 0, 236, 328]$ |
\(y^2=x^3+x^2+236x+328\) |
3.4.0.a.1, 84.8.0.?, 164.2.0.?, 492.8.0.?, 1722.8.0.?, $\ldots$ |
$[]$ |
| 72324.b2 |
72324m2 |
72324.b |
72324m |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$0.953420$ |
$115393712/68921$ |
$0.86737$ |
$3.09168$ |
$[0, 0, 0, 2121, 6734]$ |
\(y^2=x^3+2121x+6734\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 164.2.0.?, 492.8.0.?, 3444.16.0.? |
$[]$ |
| 72324.u2 |
72324f2 |
72324.u |
72324f |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 41^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$492$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$725760$ |
$1.926374$ |
$115393712/68921$ |
$0.86737$ |
$4.13516$ |
$[0, 0, 0, 103929, -2309762]$ |
\(y^2=x^3+103929x-2309762\) |
3.8.0-3.a.1.2, 164.2.0.?, 492.16.0.? |
$[]$ |
| 128576.u2 |
128576cu2 |
128576.u |
128576cu |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( - 2^{14} \cdot 7^{2} \cdot 41^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6888$ |
$16$ |
$0$ |
$0.994369771$ |
$1$ |
|
$8$ |
$110592$ |
$0.750688$ |
$115393712/68921$ |
$0.86737$ |
$2.73368$ |
$[0, -1, 0, 943, 1681]$ |
\(y^2=x^3-x^2+943x+1681\) |
3.4.0.a.1, 164.2.0.?, 168.8.0.?, 492.8.0.?, 6888.16.0.? |
$[(41, 328), (2665/3, 138088/3)]$ |
| 128576.bi2 |
128576f2 |
128576.bi |
128576f |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( - 2^{14} \cdot 7^{8} \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$984$ |
$16$ |
$0$ |
$4.883491067$ |
$1$ |
|
$2$ |
$774144$ |
$1.723642$ |
$115393712/68921$ |
$0.86737$ |
$3.72613$ |
$[0, -1, 0, 46191, 668977]$ |
\(y^2=x^3-x^2+46191x+668977\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 164.2.0.?, 492.8.0.?, 984.16.0.? |
$[(79, 2192)]$ |
| 128576.bw2 |
128576bh2 |
128576.bw |
128576bh |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( - 2^{14} \cdot 7^{2} \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6888$ |
$16$ |
$0$ |
$0.935385752$ |
$1$ |
|
$2$ |
$110592$ |
$0.750688$ |
$115393712/68921$ |
$0.86737$ |
$2.73368$ |
$[0, 1, 0, 943, -1681]$ |
\(y^2=x^3+x^2+943x-1681\) |
3.4.0.a.1, 164.2.0.?, 168.8.0.?, 492.8.0.?, 6888.16.0.? |
$[(41, 328)]$ |
| 128576.co2 |
128576by2 |
128576.co |
128576by |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( - 2^{14} \cdot 7^{8} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$984$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$774144$ |
$1.723642$ |
$115393712/68921$ |
$0.86737$ |
$3.72613$ |
$[0, 1, 0, 46191, -668977]$ |
\(y^2=x^3+x^2+46191x-668977\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 164.2.0.?, 492.8.0.?, 984.16.0.? |
$[]$ |
| 200900.e2 |
200900e2 |
200900.e |
200900e |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{8} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2460$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2612736$ |
$2.181789$ |
$115393712/68921$ |
$0.86737$ |
$4.04019$ |
$[0, -1, 0, 288692, 10597112]$ |
\(y^2=x^3-x^2+288692x+10597112\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 164.2.0.?, 492.8.0.?, 2460.16.0.? |
$[]$ |
| 200900.l2 |
200900k2 |
200900.l |
200900k |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$1.208832$ |
$115393712/68921$ |
$0.86737$ |
$3.08401$ |
$[0, 1, 0, 5892, -29212]$ |
\(y^2=x^3+x^2+5892x-29212\) |
3.4.0.a.1, 105.8.0.?, 164.2.0.?, 492.8.0.?, 17220.16.0.? |
$[]$ |
| 289296.v2 |
289296v2 |
289296.v |
289296v |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$414720$ |
$0.953420$ |
$115393712/68921$ |
$0.86737$ |
$2.75085$ |
$[0, 0, 0, 2121, -6734]$ |
\(y^2=x^3+2121x-6734\) |
3.4.0.a.1, 84.8.0.?, 164.2.0.?, 492.8.0.?, 1722.8.0.?, $\ldots$ |
$[]$ |
| 289296.fo2 |
289296fo2 |
289296.fo |
289296fo |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2903040$ |
$1.926374$ |
$115393712/68921$ |
$0.86737$ |
$3.67930$ |
$[0, 0, 0, 103929, 2309762]$ |
\(y^2=x^3+103929x+2309762\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 164.2.0.?, 246.8.0.?, 492.16.0.? |
$[]$ |
| 329476.c2 |
329476c2 |
329476.c |
329476c |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 41^{2} \) |
\( - 2^{8} \cdot 7^{8} \cdot 41^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$40642560$ |
$3.233856$ |
$115393712/68921$ |
$0.86737$ |
$4.87654$ |
$[0, -1, 0, 19411628, 5889496376]$ |
\(y^2=x^3-x^2+19411628x+5889496376\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 123.8.0.?, 164.2.0.?, 492.16.0.? |
$[]$ |
| 329476.j2 |
329476j2 |
329476.j |
329476j |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 41^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 41^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$17.39490933$ |
$1$ |
|
$0$ |
$5806080$ |
$2.260899$ |
$115393712/68921$ |
$0.86737$ |
$3.95760$ |
$[0, 1, 0, 396156, -17057356]$ |
\(y^2=x^3+x^2+396156x-17057356\) |
3.4.0.a.1, 84.8.0.?, 164.2.0.?, 492.8.0.?, 861.8.0.?, $\ldots$ |
$[(21703033969/2580, 3256017816937103/2580)]$ |
