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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
3380.a1 |
3380d1 |
3380.a |
3380d |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$260$ |
$12$ |
$0$ |
$0.136184001$ |
$1$ |
|
$22$ |
$576$ |
$-0.365952$ |
$89856/25$ |
$[0, 0, 0, -13, 13]$ |
\(y^2=x^3-13x+13\) |
2.2.0.a.1, 26.6.0.a.1, 260.12.0.? |
$[(-1, 5), (1, 1)]$ |
3380.b1 |
3380j1 |
3380.b |
3380j |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$260$ |
$12$ |
$0$ |
$0.474217901$ |
$1$ |
|
$4$ |
$7488$ |
$0.916523$ |
$89856/25$ |
$[0, 0, 0, -2197, 28561]$ |
\(y^2=x^3-2197x+28561\) |
2.2.0.a.1, 20.4.0-2.a.1.1, 26.6.0.a.1, 260.12.0.? |
$[(0, 169)]$ |
3380.c1 |
3380i3 |
3380.c |
3380i |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1.033348219$ |
$1$ |
|
$7$ |
$3456$ |
$0.901831$ |
$488095744/125$ |
$[0, 1, 0, -6985, -226992]$ |
\(y^2=x^3+x^2-6985x-226992\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(-49, 5)]$ |
3380.c2 |
3380i4 |
3380.c |
3380i |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$0.516674109$ |
$1$ |
|
$9$ |
$6912$ |
$1.248404$ |
$-20720464/15625$ |
$[0, 1, 0, -6140, -283100]$ |
\(y^2=x^3+x^2-6140x-283100\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(160, 1690)]$ |
3380.c3 |
3380i1 |
3380.c |
3380i |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$3.100044657$ |
$1$ |
|
$3$ |
$1152$ |
$0.352525$ |
$16384/5$ |
$[0, 1, 0, -225, 820]$ |
\(y^2=x^3+x^2-225x+820\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(-12, 44)]$ |
3380.c4 |
3380i2 |
3380.c |
3380i |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1.550022328$ |
$1$ |
|
$3$ |
$2304$ |
$0.699099$ |
$21296/25$ |
$[0, 1, 0, 620, 6228]$ |
\(y^2=x^3+x^2+620x+6228\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(43, 338)]$ |
3380.d1 |
3380c1 |
3380.d |
3380c |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.2 |
2Cn |
$52$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7488$ |
$1.168221$ |
$1141504/625$ |
$[0, -1, 0, -5126, 34501]$ |
\(y^2=x^3-x^2-5126x+34501\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 26.6.0.a.1, 52.12.0-26.a.1.4 |
$[]$ |
3380.e1 |
3380g1 |
3380.e |
3380g |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$52$ |
$12$ |
$0$ |
$0.098381589$ |
$1$ |
|
$8$ |
$576$ |
$-0.114255$ |
$1141504/625$ |
$[0, -1, 0, -30, 25]$ |
\(y^2=x^3-x^2-30x+25\) |
2.2.0.a.1, 26.6.0.a.1, 52.12.0-26.a.1.2 |
$[(0, 5)]$ |
3380.f1 |
3380b2 |
3380.f |
3380b |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.2 |
2Cn, 3B.1.2 |
$780$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$11232$ |
$1.546669$ |
$1000939264/15625$ |
$[0, 1, 0, -49066, -4142891]$ |
\(y^2=x^3+x^2-49066x-4142891\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 6.16.0-6.a.1.1, 20.4.0-2.a.1.1, 26.6.0.a.1, $\ldots$ |
$[]$ |
3380.f2 |
3380b1 |
3380.f |
3380b |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.1 |
2Cn, 3B.1.1 |
$780$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$3744$ |
$0.997362$ |
$1141504/25$ |
$[0, 1, 0, -5126, 136865]$ |
\(y^2=x^3+x^2-5126x+136865\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 6.16.0-6.a.1.2, 20.4.0-2.a.1.1, 26.6.0.a.1, $\ldots$ |
$[]$ |
3380.g1 |
3380a2 |
3380.g |
3380a |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$67392$ |
$2.479542$ |
$151635187115776/25$ |
$[0, 1, 0, -14461386, -21172000615]$ |
\(y^2=x^3+x^2-14461386x-21172000615\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
3380.g2 |
3380a1 |
3380.g |
3380a |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$22464$ |
$1.930235$ |
$296747776/15625$ |
$[0, 1, 0, -180886, -28292315]$ |
\(y^2=x^3+x^2-180886x-28292315\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
3380.h1 |
3380f2 |
3380.h |
3380f |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.2 |
2Cn, 3B.1.2 |
$780$ |
$96$ |
$2$ |
$2.452966372$ |
$1$ |
|
$0$ |
$5184$ |
$1.197067$ |
$151635187115776/25$ |
$[0, 1, 0, -85570, -9663107]$ |
\(y^2=x^3+x^2-85570x-9663107\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 6.16.0-6.a.1.1, 20.4.0-2.a.1.1, 26.6.0.a.1, $\ldots$ |
$[(-1523/3, 1/3)]$ |
3380.h2 |
3380f1 |
3380.h |
3380f |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.1 |
2Cn, 3B.1.1 |
$780$ |
$96$ |
$2$ |
$0.817655457$ |
$1$ |
|
$8$ |
$1728$ |
$0.647760$ |
$296747776/15625$ |
$[0, 1, 0, -1070, -13207]$ |
\(y^2=x^3+x^2-1070x-13207\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 6.16.0-6.a.1.2, 20.4.0-2.a.1.1, 26.6.0.a.1, $\ldots$ |
$[(-22, 13)]$ |
3380.i1 |
3380e2 |
3380.i |
3380e |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$0.199470341$ |
$1$ |
|
$6$ |
$864$ |
$0.264194$ |
$1000939264/15625$ |
$[0, 1, 0, -290, -1975]$ |
\(y^2=x^3+x^2-290x-1975\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 39.8.0-3.a.1.2, $\ldots$ |
$[(-10, 5)]$ |
3380.i2 |
3380e1 |
3380.i |
3380e |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$0.598411024$ |
$1$ |
|
$2$ |
$288$ |
$-0.285113$ |
$1141504/25$ |
$[0, 1, 0, -30, 53]$ |
\(y^2=x^3+x^2-30x+53\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 39.8.0-3.a.1.1, $\ldots$ |
$[(1, 5)]$ |
3380.j1 |
3380h1 |
3380.j |
3380h |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$3.119722595$ |
$1$ |
|
$3$ |
$8064$ |
$1.268467$ |
$153910165504/845$ |
$[0, -1, 0, -47545, 4006170]$ |
\(y^2=x^3-x^2-47545x+4006170\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0-20.e.1.5, $\ldots$ |
$[(117, 177)]$ |
3380.j2 |
3380h2 |
3380.j |
3380h |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$1.559861297$ |
$1$ |
|
$3$ |
$16128$ |
$1.615042$ |
$-9115564624/714025$ |
$[0, -1, 0, -46700, 4154552]$ |
\(y^2=x^3-x^2-46700x+4154552\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0-20.d.1.3, 104.12.0.?, $\ldots$ |
$[(334, 5070)]$ |