| 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 |
| 47190.q1 |
47190m1 |
47190.q |
47190m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$0.716621737$ |
$1$ |
|
$4$ |
$36288$ |
$0.648279$ |
$-14641/151632000$ |
$1.22231$ |
$2.88865$ |
$[1, 1, 0, -2, 6516]$ |
\(y^2+xy=x^3+x^2-2x+6516\) |
520.2.0.? |
$[(-13, 74)]$ |
| 47190.by1 |
47190cd1 |
47190.by |
47190cd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{3} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$0.363597239$ |
$1$ |
|
$6$ |
$399168$ |
$1.847227$ |
$-14641/151632000$ |
$1.22231$ |
$4.22553$ |
$[1, 1, 1, -305, -8674225]$ |
\(y^2+xy+y=x^3+x^2-305x-8674225\) |
520.2.0.? |
$[(1623, 64528)]$ |
| 141570.i1 |
141570dq1 |
141570.i |
141570dq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{12} \cdot 5^{3} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3193344$ |
$2.396534$ |
$-14641/151632000$ |
$1.22231$ |
$4.38989$ |
$[1, -1, 0, -2745, 234201325]$ |
\(y^2+xy=x^3-x^2-2745x+234201325\) |
520.2.0.? |
$[]$ |
| 141570.dl1 |
141570bx1 |
141570.dl |
141570bx |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{12} \cdot 5^{3} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$1.197586$ |
$-14641/151632000$ |
$1.22231$ |
$3.17685$ |
$[1, -1, 1, -23, -175953]$ |
\(y^2+xy+y=x^3-x^2-23x-175953\) |
520.2.0.? |
$[]$ |
| 235950.ds1 |
235950ds1 |
235950.ds |
235950ds |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$1.531490015$ |
$1$ |
|
$0$ |
$9580032$ |
$2.651947$ |
$-14641/151632000$ |
$1.22231$ |
$4.45637$ |
$[1, 0, 1, -7626, -1084262852]$ |
\(y^2+xy+y=x^3-7626x-1084262852\) |
520.2.0.? |
$[(5243/2, 267003/2)]$ |
| 235950.hn1 |
235950hn1 |
235950.hn |
235950hn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$0.185430160$ |
$1$ |
|
$8$ |
$870912$ |
$1.452999$ |
$-14641/151632000$ |
$1.22231$ |
$3.29342$ |
$[1, 0, 0, -63, 814617]$ |
\(y^2+xy=x^3-63x+814617\) |
520.2.0.? |
$[(162, 2169)]$ |
| 377520.gi1 |
377520gi1 |
377520.gi |
377520gi |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$0.506702529$ |
$1$ |
|
$6$ |
$870912$ |
$1.341427$ |
$-14641/151632000$ |
$1.22231$ |
$3.06861$ |
$[0, 1, 0, -40, -417100]$ |
\(y^2=x^3+x^2-40x-417100\) |
520.2.0.? |
$[(110, 960)]$ |
| 377520.hk1 |
377520hk1 |
377520.hk |
377520hk |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{6} \cdot 5^{3} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9580032$ |
$2.540375$ |
$-14641/151632000$ |
$1.22231$ |
$4.18901$ |
$[0, 1, 0, -4880, 555140628]$ |
\(y^2=x^3+x^2-4880x+555140628\) |
520.2.0.? |
$[]$ |
