| 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 |
| 20339.a1 |
20339e1 |
20339.a |
20339e |
$1$ |
$1$ |
\( 11 \cdot 43^{2} \) |
\( 11^{6} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1892$ |
$12$ |
$0$ |
$0.364069841$ |
$1$ |
|
$6$ |
$8064$ |
$0.535710$ |
$7037694889/1771561$ |
$0.89597$ |
$3.04396$ |
$[1, 1, 1, -490, 2934]$ |
\(y^2+xy+y=x^3+x^2-490x+2934\) |
2.2.0.a.1, 86.6.0.?, 1892.12.0.? |
$[(-22, 71)]$ |
| 20339.b1 |
20339b1 |
20339.b |
20339b |
$1$ |
$1$ |
\( 11 \cdot 43^{2} \) |
\( 11^{2} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1892$ |
$12$ |
$0$ |
$0.997418736$ |
$1$ |
|
$8$ |
$1680$ |
$-0.275970$ |
$294937/121$ |
$0.75983$ |
$2.02785$ |
$[1, 0, 0, -17, -16]$ |
\(y^2+xy=x^3-17x-16\) |
2.2.0.a.1, 86.6.0.?, 1892.12.0.? |
$[(5, 3), (-1, 1)]$ |
| 20339.c1 |
20339a1 |
20339.c |
20339a |
$1$ |
$1$ |
\( 11 \cdot 43^{2} \) |
\( 11^{2} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1892$ |
$12$ |
$0$ |
$2.007970510$ |
$1$ |
|
$0$ |
$72240$ |
$1.604630$ |
$294937/121$ |
$0.75983$ |
$4.30271$ |
$[1, 1, 0, -31471, 1146272]$ |
\(y^2+xy=x^3+x^2-31471x+1146272\) |
2.2.0.a.1, 44.4.0-2.a.1.1, 86.6.0.?, 1892.12.0.? |
$[(3232/3, 157864/3)]$ |
| 20339.d1 |
20339d1 |
20339.d |
20339d |
$1$ |
$1$ |
\( 11 \cdot 43^{2} \) |
\( 11^{6} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1892$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$346752$ |
$2.416309$ |
$7037694889/1771561$ |
$0.89597$ |
$5.31881$ |
$[1, 0, 1, -906049, -249596537]$ |
\(y^2+xy+y=x^3-906049x-249596537\) |
2.2.0.a.1, 44.4.0-2.a.1.1, 86.6.0.?, 1892.12.0.? |
$[]$ |
| 20339.e1 |
20339c1 |
20339.e |
20339c |
$1$ |
$1$ |
\( 11 \cdot 43^{2} \) |
\( - 11^{3} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$376992$ |
$2.222904$ |
$-112706583998464/2461019$ |
$1.07745$ |
$5.53643$ |
$[0, -1, 1, -1860710, -976334541]$ |
\(y^2+y=x^3-x^2-1860710x-976334541\) |
22.2.0.a.1 |
$[]$ |
| 20339.f1 |
20339f3 |
20339.f |
20339f |
$3$ |
$25$ |
\( 11 \cdot 43^{2} \) |
\( - 11 \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$23650$ |
$1200$ |
$37$ |
$13.35189329$ |
$1$ |
|
$0$ |
$399000$ |
$2.377308$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.15650$ |
$[0, 1, 1, -14459796, 21158869387]$ |
\(y^2+y=x^3+x^2-14459796x+21158869387\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 215.24.0.?, $\ldots$ |
$[(-16490135/68, 52032231907/68)]$ |
| 20339.f2 |
20339f2 |
20339.f |
20339f |
$3$ |
$25$ |
\( 11 \cdot 43^{2} \) |
\( - 11^{5} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$23650$ |
$1200$ |
$37$ |
$2.670378659$ |
$1$ |
|
$0$ |
$79800$ |
$1.572590$ |
$-122023936/161051$ |
$1.01300$ |
$4.27154$ |
$[0, 1, 1, -19106, 1834807]$ |
\(y^2+y=x^3+x^2-19106x+1834807\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 215.120.0.?, 275.300.12.?, $\ldots$ |
$[(-2743/4, 20307/4)]$ |
| 20339.f3 |
20339f1 |
20339.f |
20339f |
$3$ |
$25$ |
\( 11 \cdot 43^{2} \) |
\( - 11 \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$23650$ |
$1200$ |
$37$ |
$13.35189329$ |
$1$ |
|
$0$ |
$15960$ |
$0.767871$ |
$-4096/11$ |
$0.82546$ |
$3.28770$ |
$[0, 1, 1, -616, -14193]$ |
\(y^2+y=x^3+x^2-616x-14193\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 215.24.0.?, $\ldots$ |
$[(17497257/724, 22433242179/724)]$ |
