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 |
38148.a1 |
38148c1 |
38148.a |
38148c |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 11^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.359797413$ |
$1$ |
|
$2$ |
$190944$ |
$1.689999$ |
$278528/43923$ |
$[0, -1, 0, 6551, 3360310]$ |
\(y^2=x^3-x^2+6551x+3360310\) |
6.2.0.a.1 |
$[(758, 21054)]$ |
38148.b1 |
38148b2 |
38148.b |
38148b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$29952$ |
$0.643486$ |
$52927184/8019$ |
$[0, -1, 0, -844, -7832]$ |
\(y^2=x^3-x^2-844x-7832\) |
2.3.0.a.1, 132.6.0.?, 204.6.0.?, 748.6.0.?, 2244.12.0.? |
$[]$ |
38148.b2 |
38148b1 |
38148.b |
38148b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14976$ |
$0.296913$ |
$1048576/3267$ |
$[0, -1, 0, 91, -726]$ |
\(y^2=x^3-x^2+91x-726\) |
2.3.0.a.1, 102.6.0.?, 132.6.0.?, 748.6.0.?, 2244.12.0.? |
$[]$ |
38148.c1 |
38148a2 |
38148.c |
38148a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3 \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$59136$ |
$1.065313$ |
$810448/363$ |
$[0, -1, 0, -3564, -37752]$ |
\(y^2=x^3-x^2-3564x-37752\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
38148.c2 |
38148a1 |
38148.c |
38148a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$29568$ |
$0.718740$ |
$131072/99$ |
$[0, -1, 0, 771, -4806]$ |
\(y^2=x^3-x^2+771x-4806\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
38148.d1 |
38148g1 |
38148.d |
38148g |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{3} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.144185668$ |
$1$ |
|
$22$ |
$36288$ |
$0.890579$ |
$-18939904/11979$ |
$[0, -1, 0, -1541, 34209]$ |
\(y^2=x^3-x^2-1541x+34209\) |
22.2.0.a.1 |
$[(23, 102), (40, 187)]$ |
38148.e1 |
38148h1 |
38148.e |
38148h |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$440640$ |
$2.160568$ |
$-570425344/649539$ |
$[0, -1, 0, -209621, 63706689]$ |
\(y^2=x^3-x^2-209621x+63706689\) |
22.2.0.a.1 |
$[]$ |
38148.f1 |
38148d2 |
38148.f |
38148d |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 11^{3} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$4.760813094$ |
$1$ |
|
$0$ |
$995328$ |
$2.641754$ |
$-14820625871872000/529675443$ |
$[0, -1, 0, -9390573, -11073296727]$ |
\(y^2=x^3-x^2-9390573x-11073296727\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 66.8.0-3.a.1.2, 374.2.0.?, 1122.16.0.? |
$[(42813/2, 8445447/2)]$ |
38148.f2 |
38148d1 |
38148.f |
38148d |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$1.586937698$ |
$1$ |
|
$0$ |
$331776$ |
$2.092449$ |
$-351232000/99379467$ |
$[0, -1, 0, -26973, -37732311]$ |
\(y^2=x^3-x^2-26973x-37732311\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 66.8.0-3.a.1.1, 374.2.0.?, 1122.16.0.? |
$[(3645/2, 210681/2)]$ |
38148.g1 |
38148e1 |
38148.g |
38148e |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$2.085437709$ |
$1$ |
|
$2$ |
$55296$ |
$1.180918$ |
$524288/1683$ |
$[0, -1, 0, 3083, -141503]$ |
\(y^2=x^3-x^2+3083x-141503\) |
374.2.0.? |
$[(448, 9537)]$ |
38148.h1 |
38148f2 |
38148.h |
38148f |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 11^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$11.31729505$ |
$1$ |
|
$0$ |
$186624$ |
$1.503164$ |
$-16565495781326848/107811$ |
$[0, -1, 0, -222949, -40444559]$ |
\(y^2=x^3-x^2-222949x-40444559\) |
3.4.0.a.1, 22.2.0.a.1, 51.8.0-3.a.1.1, 66.8.0.a.1, 1122.16.0.? |
$[(200680/13, 81252657/13)]$ |
38148.h2 |
38148f1 |
38148.h |
38148f |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$3.772431683$ |
$1$ |
|
$2$ |
$62208$ |
$0.953858$ |
$-27172077568/5845851$ |
$[0, -1, 0, -2629, -59903]$ |
\(y^2=x^3-x^2-2629x-59903\) |
3.4.0.a.1, 22.2.0.a.1, 51.8.0-3.a.1.2, 66.8.0.a.1, 1122.16.0.? |
$[(1144, 38637)]$ |
38148.i1 |
38148k2 |
38148.i |
38148k |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 11^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$66$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3172608$ |
$2.919773$ |
$-16565495781326848/107811$ |
$[0, 1, 0, -64432357, -199090712329]$ |
\(y^2=x^3+x^2-64432357x-199090712329\) |
3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 |
$[]$ |
38148.i2 |
38148k1 |
38148.i |
38148k |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1057536$ |
$2.370464$ |
$-27172077568/5845851$ |
$[0, 1, 0, -759877, -298862521]$ |
\(y^2=x^3+x^2-759877x-298862521\) |
3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4 |
$[]$ |
38148.j1 |
38148n2 |
38148.j |
38148n |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$295680$ |
$1.831970$ |
$932410994128/29403$ |
$[0, 1, 0, -373484, 87726132]$ |
\(y^2=x^3+x^2-373484x+87726132\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
38148.j2 |
38148n1 |
38148.j |
38148n |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147840$ |
$1.485395$ |
$-3196715008/649539$ |
$[0, 1, 0, -22349, 1487376]$ |
\(y^2=x^3+x^2-22349x+1487376\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
38148.k1 |
38148o1 |
38148.k |
38148o |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{3} \cdot 17^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$2.993011$ |
$-5102271397888/4915446963867$ |
$[0, 1, 0, -658149, -8387801433]$ |
\(y^2=x^3+x^2-658149x-8387801433\) |
374.2.0.? |
$[]$ |
38148.l1 |
38148i1 |
38148.l |
38148i |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{3} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$6.096837754$ |
$1$ |
|
$2$ |
$616896$ |
$2.307186$ |
$-18939904/11979$ |
$[0, 1, 0, -445445, 165396327]$ |
\(y^2=x^3+x^2-445445x+165396327\) |
22.2.0.a.1 |
$[(921, 23178)]$ |
38148.m1 |
38148j1 |
38148.m |
38148j |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.844740092$ |
$1$ |
|
$2$ |
$25920$ |
$0.743960$ |
$-570425344/649539$ |
$[0, 1, 0, -725, 12711]$ |
\(y^2=x^3+x^2-725x+12711\) |
22.2.0.a.1 |
$[(10, 81)]$ |
38148.n1 |
38148l2 |
38148.n |
38148l |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 11 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$509184$ |
$2.060093$ |
$52927184/8019$ |
$[0, 1, 0, -244012, -39942508]$ |
\(y^2=x^3+x^2-244012x-39942508\) |
2.3.0.a.1, 132.6.0.?, 204.6.0.?, 748.6.0.?, 2244.12.0.? |
$[]$ |
38148.n2 |
38148l1 |
38148.n |
38148l |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$254592$ |
$1.713520$ |
$1048576/3267$ |
$[0, 1, 0, 26203, -3409440]$ |
\(y^2=x^3+x^2+26203x-3409440\) |
2.3.0.a.1, 102.6.0.?, 132.6.0.?, 748.6.0.?, 2244.12.0.? |
$[]$ |
38148.o1 |
38148m1 |
38148.o |
38148m |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11232$ |
$0.273392$ |
$278528/43923$ |
$[0, 1, 0, 23, 692]$ |
\(y^2=x^3+x^2+23x+692\) |
6.2.0.a.1 |
$[]$ |