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 |
11310.c1 |
11310c3 |
11310.c |
11310c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$3016$ |
$48$ |
$0$ |
$0.988849977$ |
$1$ |
|
$20$ |
$49152$ |
$1.190741$ |
$64443098670429961/6032611833300$ |
$[1, 1, 0, -8352, -272484]$ |
\(y^2+xy=x^3+x^2-8352x-272484\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 232.24.0.?, $\ldots$ |
$[(-58, 174), (117, 549)]$ |
33930.r1 |
33930ba4 |
33930.r |
33930ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{2} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9048$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$393216$ |
$1.740047$ |
$64443098670429961/6032611833300$ |
$[1, -1, 1, -75173, 7281897]$ |
\(y^2+xy+y=x^3-x^2-75173x+7281897\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
56550.cg1 |
56550bv4 |
56550.cg |
56550bv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$1.995459$ |
$64443098670429961/6032611833300$ |
$[1, 0, 0, -208813, -33642883]$ |
\(y^2+xy=x^3-208813x-33642883\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
90480.cb1 |
90480cc4 |
90480.cb |
90480cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$1.883888$ |
$64443098670429961/6032611833300$ |
$[0, 1, 0, -133640, 17171700]$ |
\(y^2=x^3+x^2-133640x+17171700\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, 232.24.0.?, $\ldots$ |
$[]$ |
147030.bo1 |
147030bf4 |
147030.bo |
147030bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 13^{7} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3016$ |
$48$ |
$0$ |
$2.444013585$ |
$1$ |
|
$2$ |
$8257536$ |
$2.473213$ |
$64443098670429961/6032611833300$ |
$[1, 1, 1, -1411576, -591589627]$ |
\(y^2+xy+y=x^3+x^2-1411576x-591589627\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 232.24.0.?, $\ldots$ |
$[(10561, 1072939)]$ |
169650.cx1 |
169650eo3 |
169650.cx |
169650eo |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{8} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9437184$ |
$2.544765$ |
$64443098670429961/6032611833300$ |
$[1, -1, 0, -1879317, 908357841]$ |
\(y^2+xy=x^3-x^2-1879317x+908357841\) |
2.3.0.a.1, 4.6.0.c.1, 26.6.0.b.1, 52.12.0.g.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
271440.cd1 |
271440cd4 |
271440.cd |
271440cd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{2} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9048$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9437184$ |
$2.433193$ |
$64443098670429961/6032611833300$ |
$[0, 0, 0, -1202763, -464838662]$ |
\(y^2=x^3-1202763x-464838662\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
327990.bn1 |
327990bn4 |
327990.bn |
327990bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 29^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3016$ |
$48$ |
$0$ |
$5.849536974$ |
$1$ |
|
$0$ |
$41287680$ |
$2.874390$ |
$64443098670429961/6032611833300$ |
$[1, 0, 0, -7024470, -6561320400]$ |
\(y^2+xy=x^3-7024470x-6561320400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-4605/2, 7035/2)]$ |
361920.bn1 |
361920bn3 |
361920.bn |
361920bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9437184$ |
$2.230461$ |
$64443098670429961/6032611833300$ |
$[0, -1, 0, -534561, 137908161]$ |
\(y^2=x^3-x^2-534561x+137908161\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
361920.da1 |
361920da4 |
361920.da |
361920da |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9437184$ |
$2.230461$ |
$64443098670429961/6032611833300$ |
$[0, 1, 0, -534561, -137908161]$ |
\(y^2=x^3+x^2-534561x-137908161\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
441090.bw1 |
441090bw3 |
441090.bw |
441090bw |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{2} \cdot 13^{7} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9048$ |
$48$ |
$0$ |
$2.374029642$ |
$1$ |
|
$0$ |
$66060288$ |
$3.022522$ |
$64443098670429961/6032611833300$ |
$[1, -1, 0, -12704184, 15960215740]$ |
\(y^2+xy=x^3-x^2-12704184x+15960215740\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-2521/2, 1234531/2)]$ |
452400.m1 |
452400m3 |
452400.m |
452400m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15080$ |
$48$ |
$0$ |
$2.207562088$ |
$1$ |
|
$5$ |
$28311552$ |
$2.688606$ |
$64443098670429961/6032611833300$ |
$[0, -1, 0, -3341008, 2153144512]$ |
\(y^2=x^3-x^2-3341008x+2153144512\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(456, 26912)]$ |