| 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.c1 |
8036f1 |
8036.c |
8036f |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 7^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$-0.145192$ |
$-768208/41$ |
$0.68654$ |
$2.56649$ |
$[0, -1, 0, -44, -104]$ |
\(y^2=x^3-x^2-44x-104\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 164.2.0.?, 492.8.0.?, 3444.16.0.? |
$[]$ |
| 8036.d1 |
8036a1 |
8036.d |
8036a |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 7^{8} \cdot 41 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$492$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$8064$ |
$0.827763$ |
$-768208/41$ |
$0.68654$ |
$3.86496$ |
$[0, 1, 0, -2172, 40004]$ |
\(y^2=x^3+x^2-2172x+40004\) |
3.8.0-3.a.1.2, 164.2.0.?, 492.16.0.? |
$[]$ |
| 32144.g1 |
32144k1 |
32144.g |
32144k |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 7^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$0.827763$ |
$-768208/41$ |
$0.68654$ |
$3.34868$ |
$[0, -1, 0, -2172, -40004]$ |
\(y^2=x^3-x^2-2172x-40004\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 164.2.0.?, 246.8.0.?, 492.16.0.? |
$[]$ |
| 32144.y1 |
32144v1 |
32144.y |
32144v |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 7^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$-0.145192$ |
$-768208/41$ |
$0.68654$ |
$2.22365$ |
$[0, 1, 0, -44, 104]$ |
\(y^2=x^3+x^2-44x+104\) |
3.4.0.a.1, 84.8.0.?, 164.2.0.?, 492.8.0.?, 1722.8.0.?, $\ldots$ |
$[]$ |
| 72324.b1 |
72324m1 |
72324.b |
72324m |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$0.404114$ |
$-768208/41$ |
$0.68654$ |
$2.65162$ |
$[0, 0, 0, -399, 3206]$ |
\(y^2=x^3-399x+3206\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 164.2.0.?, 492.8.0.?, 3444.16.0.? |
$[]$ |
| 72324.u1 |
72324f1 |
72324.u |
72324f |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$492$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$1.377069$ |
$-768208/41$ |
$0.68654$ |
$3.69510$ |
$[0, 0, 0, -19551, -1099658]$ |
\(y^2=x^3-19551x-1099658\) |
3.8.0-3.a.1.1, 164.2.0.?, 492.16.0.? |
$[]$ |
| 128576.u1 |
128576cu1 |
128576.u |
128576cu |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( - 2^{14} \cdot 7^{2} \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6888$ |
$16$ |
$0$ |
$0.994369771$ |
$1$ |
|
$12$ |
$36864$ |
$0.201381$ |
$-768208/41$ |
$0.68654$ |
$2.31514$ |
$[0, -1, 0, -177, 1009]$ |
\(y^2=x^3-x^2-177x+1009\) |
3.4.0.a.1, 164.2.0.?, 168.8.0.?, 492.8.0.?, 6888.16.0.? |
$[(9, 8), (7, 8)]$ |
| 128576.bi1 |
128576f1 |
128576.bi |
128576f |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( - 2^{14} \cdot 7^{8} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$984$ |
$16$ |
$0$ |
$1.627830355$ |
$1$ |
|
$2$ |
$258048$ |
$1.174335$ |
$-768208/41$ |
$0.68654$ |
$3.30759$ |
$[0, -1, 0, -8689, 328721]$ |
\(y^2=x^3-x^2-8689x+328721\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 164.2.0.?, 492.8.0.?, 984.16.0.? |
$[(-65, 784)]$ |
| 128576.bw1 |
128576bh1 |
128576.bw |
128576bh |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( - 2^{14} \cdot 7^{2} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6888$ |
$16$ |
$0$ |
$2.806157257$ |
$1$ |
|
$2$ |
$36864$ |
$0.201381$ |
$-768208/41$ |
$0.68654$ |
$2.31514$ |
$[0, 1, 0, -177, -1009]$ |
\(y^2=x^3+x^2-177x-1009\) |
3.4.0.a.1, 164.2.0.?, 168.8.0.?, 492.8.0.?, 6888.16.0.? |
$[(25, 104)]$ |
| 128576.co1 |
128576by1 |
128576.co |
128576by |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( - 2^{14} \cdot 7^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$984$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$258048$ |
$1.174335$ |
$-768208/41$ |
$0.68654$ |
$3.30759$ |
$[0, 1, 0, -8689, -328721]$ |
\(y^2=x^3+x^2-8689x-328721\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 164.2.0.?, 492.8.0.?, 984.16.0.? |
$[]$ |
| 200900.e1 |
200900e1 |
200900.e |
200900e |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2460$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$870912$ |
$1.632483$ |
$-768208/41$ |
$0.68654$ |
$3.63694$ |
$[0, -1, 0, -54308, 5109112]$ |
\(y^2=x^3-x^2-54308x+5109112\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 164.2.0.?, 492.8.0.?, 2460.16.0.? |
$[]$ |
| 200900.l1 |
200900k1 |
200900.l |
200900k |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$17220$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$124416$ |
$0.659527$ |
$-768208/41$ |
$0.68654$ |
$2.68077$ |
$[0, 1, 0, -1108, -15212]$ |
\(y^2=x^3+x^2-1108x-15212\) |
3.4.0.a.1, 105.8.0.?, 164.2.0.?, 492.8.0.?, 17220.16.0.? |
$[]$ |
| 289296.v1 |
289296v1 |
289296.v |
289296v |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$0.404114$ |
$-768208/41$ |
$0.68654$ |
$2.35930$ |
$[0, 0, 0, -399, -3206]$ |
\(y^2=x^3-399x-3206\) |
3.4.0.a.1, 84.8.0.?, 164.2.0.?, 492.8.0.?, 1722.8.0.?, $\ldots$ |
$[]$ |
| 289296.fo1 |
289296fo1 |
289296.fo |
289296fo |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$967680$ |
$1.377069$ |
$-768208/41$ |
$0.68654$ |
$3.28775$ |
$[0, 0, 0, -19551, 1099658]$ |
\(y^2=x^3-19551x+1099658\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 164.2.0.?, 246.8.0.?, 492.16.0.? |
$[]$ |
| 329476.c1 |
329476c1 |
329476.c |
329476c |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 41^{2} \) |
\( - 2^{8} \cdot 7^{8} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$492$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13547520$ |
$2.684547$ |
$-768208/41$ |
$0.68654$ |
$4.48900$ |
$[0, -1, 0, -3651692, 2808236824]$ |
\(y^2=x^3-x^2-3651692x+2808236824\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 123.8.0.?, 164.2.0.?, 492.16.0.? |
$[]$ |
| 329476.j1 |
329476j1 |
329476.j |
329476j |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 41^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3444$ |
$16$ |
$0$ |
$5.798303111$ |
$1$ |
|
$0$ |
$1935360$ |
$1.711594$ |
$-768208/41$ |
$0.68654$ |
$3.57005$ |
$[0, 1, 0, -74524, -8208572]$ |
\(y^2=x^3+x^2-74524x-8208572\) |
3.4.0.a.1, 84.8.0.?, 164.2.0.?, 492.8.0.?, 861.8.0.?, $\ldots$ |
$[(82224/5, 23497018/5)]$ |
