| 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 |
| 14450.h2 |
14450f1 |
14450.h |
14450f |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$2.525048543$ |
$1$ |
|
$0$ |
$65280$ |
$1.657709$ |
$1026895/1024$ |
$0.91899$ |
$4.44329$ |
$[1, 1, 0, 30195, 1729885]$ |
\(y^2+xy=x^3+x^2+30195x+1729885\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(-1046/5, 81223/5)]$ |
| 14450.j2 |
14450d1 |
14450.j |
14450d |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$0.705126790$ |
$1$ |
|
$4$ |
$3840$ |
$0.241103$ |
$1026895/1024$ |
$0.91899$ |
$2.66855$ |
$[1, 0, 1, 104, 358]$ |
\(y^2+xy+y=x^3+104x+358\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(41, 251)]$ |
| 14450.y2 |
14450bj2 |
14450.y |
14450bj |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$0.200324876$ |
$1$ |
|
$8$ |
$19200$ |
$1.045822$ |
$1026895/1024$ |
$0.91899$ |
$3.67671$ |
$[1, 1, 1, 2612, 44781]$ |
\(y^2+xy+y=x^3+x^2+2612x+44781\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(35, 407)]$ |
| 14450.bc2 |
14450bh2 |
14450.bc |
14450bh |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$2.885815889$ |
$1$ |
|
$2$ |
$326400$ |
$2.462429$ |
$1026895/1024$ |
$0.91899$ |
$5.45145$ |
$[1, 0, 0, 754862, 214725892]$ |
\(y^2+xy=x^3+754862x+214725892\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(1758, 82642)]$ |
| 115600.bi2 |
115600br1 |
115600.bi |
115600br |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{22} \cdot 5^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$0.934250$ |
$1026895/1024$ |
$0.91899$ |
$2.90604$ |
$[0, -1, 0, 1672, -22928]$ |
\(y^2=x^3-x^2+1672x-22928\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[ ]$ |
| 115600.bj2 |
115600cz2 |
115600.bj |
115600cz |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{22} \cdot 5^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$26.40510432$ |
$1$ |
|
$0$ |
$7833600$ |
$3.155575$ |
$1026895/1024$ |
$0.91899$ |
$5.19255$ |
$[0, -1, 0, 12077792, -13742457088]$ |
\(y^2=x^3-x^2+12077792x-13742457088\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(28202053599658/76419, 176933587018276141894/76419)]$ |
| 115600.by2 |
115600bj1 |
115600.by |
115600bj |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{22} \cdot 5^{2} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1566720$ |
$2.350857$ |
$1026895/1024$ |
$0.91899$ |
$4.36422$ |
$[0, 1, 0, 483112, -109746412]$ |
\(y^2=x^3+x^2+483112x-109746412\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[ ]$ |
| 115600.bz2 |
115600cs2 |
115600.bz |
115600cs |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{22} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$2.454330166$ |
$1$ |
|
$2$ |
$460800$ |
$1.738970$ |
$1026895/1024$ |
$0.91899$ |
$3.73438$ |
$[0, 1, 0, 41792, -2782412]$ |
\(y^2=x^3+x^2+41792x-2782412\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(708, 19550)]$ |
| 130050.q2 |
130050dr2 |
130050.q |
130050dr |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$1020$ |
$192$ |
$5$ |
$5.748741244$ |
$1$ |
|
$0$ |
$9792000$ |
$3.011734$ |
$1026895/1024$ |
$0.91899$ |
$4.99404$ |
$[1, -1, 0, 6793758, -5797599084]$ |
\(y^2+xy=x^3-x^2+6793758x-5797599084\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(287284/19, 69983202/19)]$ |
| 130050.de2 |
130050ee2 |
130050.de |
130050ee |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$1020$ |
$192$ |
$5$ |
$5.953711474$ |
$1$ |
|
$0$ |
$576000$ |
$1.595127$ |
$1026895/1024$ |
$0.91899$ |
$3.55044$ |
$[1, -1, 0, 23508, -1185584]$ |
\(y^2+xy=x^3-x^2+23508x-1185584\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(3000/7, 227228/7)]$ |
| 130050.ek2 |
130050bg1 |
130050.ek |
130050bg |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$1020$ |
$192$ |
$5$ |
$0.740634966$ |
$1$ |
|
$4$ |
$115200$ |
$0.790409$ |
$1026895/1024$ |
$0.91899$ |
$2.73039$ |
$[1, -1, 1, 940, -9673]$ |
\(y^2+xy+y=x^3-x^2+940x-9673\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(13, 61)]$ |
| 130050.gx2 |
130050ch1 |
130050.gx |
130050ch |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$1020$ |
$192$ |
$5$ |
$4.718155005$ |
$1$ |
|
$2$ |
$1958400$ |
$2.207016$ |
$1026895/1024$ |
$0.91899$ |
$4.17399$ |
$[1, -1, 1, 271750, -46435143]$ |
\(y^2+xy+y=x^3-x^2+271750x-46435143\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(44145, 9253671)]$ |
| 462400.co2 |
462400co2 |
462400.co |
462400co |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$680$ |
$192$ |
$5$ |
$8.282261556$ |
$1$ |
|
$0$ |
$3686400$ |
$2.085541$ |
$1026895/1024$ |
$0.91899$ |
$3.65633$ |
$[0, -1, 0, 167167, -22426463]$ |
\(y^2=x^3-x^2+167167x-22426463\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(30739/3, 5425516/3)]$ |
| 462400.cp2 |
462400cp2 |
462400.cp |
462400cp |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{8} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$680$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$62668800$ |
$3.502148$ |
$1026895/1024$ |
$0.91899$ |
$4.95954$ |
$[0, -1, 0, 48311167, 109891345537]$ |
\(y^2=x^3-x^2+48311167x+109891345537\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[ ]$ |
| 462400.cq2 |
462400cq1 |
462400.cq |
462400cq |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$680$ |
$192$ |
$5$ |
$1.131020613$ |
$1$ |
|
$4$ |
$737280$ |
$1.280823$ |
$1026895/1024$ |
$0.91899$ |
$2.91603$ |
$[0, -1, 0, 6687, 176737]$ |
\(y^2=x^3-x^2+6687x+176737\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(73, 1024)]$ |
| 462400.cr2 |
462400cr1 |
462400.cr |
462400cr |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{2} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$680$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$12533760$ |
$2.697430$ |
$1026895/1024$ |
$0.91899$ |
$4.21924$ |
$[0, -1, 0, 1932447, -879903743]$ |
\(y^2=x^3-x^2+1932447x-879903743\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[ ]$ |
| 462400.gv2 |
462400gv2 |
462400.gv |
462400gv |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{8} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$680$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3686400$ |
$2.085541$ |
$1026895/1024$ |
$0.91899$ |
$3.65633$ |
$[0, 1, 0, 167167, 22426463]$ |
\(y^2=x^3+x^2+167167x+22426463\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[ ]$ |
| 462400.gw2 |
462400gw2 |
462400.gw |
462400gw |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$680$ |
$192$ |
$5$ |
$22.61350077$ |
$1$ |
|
$0$ |
$62668800$ |
$3.502148$ |
$1026895/1024$ |
$0.91899$ |
$4.95954$ |
$[0, 1, 0, 48311167, -109891345537]$ |
\(y^2=x^3+x^2+48311167x-109891345537\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(3161020275037/29883, 8667086224589240300/29883)]$ |
| 462400.gx2 |
462400gx1 |
462400.gx |
462400gx |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$680$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$1.280823$ |
$1026895/1024$ |
$0.91899$ |
$2.91603$ |
$[0, 1, 0, 6687, -176737]$ |
\(y^2=x^3+x^2+6687x-176737\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[ ]$ |
| 462400.gy2 |
462400gy1 |
462400.gy |
462400gy |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{2} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$680$ |
$192$ |
$5$ |
$14.36166858$ |
$1$ |
|
$0$ |
$12533760$ |
$2.697430$ |
$1026895/1024$ |
$0.91899$ |
$4.21924$ |
$[0, 1, 0, 1932447, 879903743]$ |
\(y^2=x^3+x^2+1932447x+879903743\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.12.0.?, $\ldots$ |
$[(73797691/75, 637659044864/75)]$ |
