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 |
250173.l1 |
250173l1 |
250173.l |
250173l |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{9} \cdot 7^{5} \cdot 11^{5} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$43890$ |
$60$ |
$3$ |
$46.41103416$ |
$1$ |
|
$0$ |
$127680000$ |
$4.075005$ |
$979217654243917824/2706784157$ |
$1.10801$ |
$6.26014$ |
$[0, 0, 1, -3831272784, -91277069461270]$ |
\(y^2+y=x^3-3831272784x-91277069461270\) |
5.15.0.a.1, 95.30.0.?, 2310.30.1.?, 8778.2.0.?, 43890.60.3.? |
$[(-8561913177242997274350/489198617, 774939496272640164807010394297/489198617)]$ |
250173.m1 |
250173m1 |
250173.m |
250173m |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{9} \cdot 7^{5} \cdot 11^{5} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$43890$ |
$60$ |
$3$ |
$3.029074838$ |
$1$ |
|
$2$ |
$6720000$ |
$2.602783$ |
$979217654243917824/2706784157$ |
$1.10801$ |
$4.83884$ |
$[0, 0, 1, -10612944, 13307635145]$ |
\(y^2+y=x^3-10612944x+13307635145\) |
5.15.0.a.1, 95.30.0.?, 2310.30.1.?, 8778.2.0.?, 43890.60.3.? |
$[(1767, 8464)]$ |
250173.bc1 |
250173bc1 |
250173.bc |
250173bc |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7^{5} \cdot 11^{5} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$43890$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$42560000$ |
$3.525696$ |
$979217654243917824/2706784157$ |
$1.10801$ |
$5.72983$ |
$[0, 0, 1, -425696976, 3380632202269]$ |
\(y^2+y=x^3-425696976x+3380632202269\) |
5.15.0.a.1, 95.30.0.?, 2310.30.1.?, 8778.2.0.?, 43890.60.3.? |
$[]$ |
250173.bd1 |
250173bd1 |
250173.bd |
250173bd |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7^{5} \cdot 11^{5} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$43890$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$2240000$ |
$2.053478$ |
$979217654243917824/2706784157$ |
$1.10801$ |
$4.30853$ |
$[0, 0, 1, -1179216, -492875376]$ |
\(y^2+y=x^3-1179216x-492875376\) |
5.15.0.a.1, 95.30.0.?, 2310.30.1.?, 8778.2.0.?, 43890.60.3.? |
$[]$ |