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 |
26640.a1 |
26640s1 |
26640.a |
26640s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.637161$ |
$110592/185$ |
$[0, 0, 0, 432, -4752]$ |
\(y^2=x^3+432x-4752\) |
1110.2.0.? |
$[]$ |
26640.b1 |
26640a2 |
26640.b |
26640a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$0.673444554$ |
$1$ |
|
$7$ |
$18432$ |
$0.604574$ |
$15273442188/34225$ |
$[0, 0, 0, -1563, 23738]$ |
\(y^2=x^3-1563x+23738\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[(19, 30)]$ |
26640.b2 |
26640a1 |
26640.b |
26640a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1.346889109$ |
$1$ |
|
$5$ |
$9216$ |
$0.258000$ |
$-4000752/23125$ |
$[0, 0, 0, -63, 638]$ |
\(y^2=x^3-63x+638\) |
2.3.0.a.1, 12.6.0.b.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[(1, 24)]$ |
26640.c1 |
26640t2 |
26640.c |
26640t |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$675840$ |
$2.276928$ |
$281470209323873024547/35046400$ |
$[0, 0, 0, -6553563, 6457498762]$ |
\(y^2=x^3-6553563x+6457498762\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
26640.c2 |
26640t1 |
26640.c |
26640t |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{32} \cdot 3^{3} \cdot 5^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$337920$ |
$1.930353$ |
$-68700855708416547/24248320000$ |
$[0, 0, 0, -409563, 100916362]$ |
\(y^2=x^3-409563x+100916362\) |
2.3.0.a.1, 12.6.0.b.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[]$ |
26640.d1 |
26640bj1 |
26640.d |
26640bj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{5} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.624844$ |
$918046641959/674325000$ |
$[0, 0, 0, 29157, -994358]$ |
\(y^2=x^3+29157x-994358\) |
1480.2.0.? |
$[]$ |
26640.e1 |
26640f1 |
26640.e |
26640f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{11} \cdot 3^{19} \cdot 5^{2} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$2.338150$ |
$-100389630395083682/2018931072975$ |
$[0, 0, 0, -1106643, -455803342]$ |
\(y^2=x^3-1106643x-455803342\) |
888.2.0.? |
$[]$ |
26640.f1 |
26640bi1 |
26640.f |
26640bi |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$1.491776$ |
$-71581931663761/199800$ |
$[0, 0, 0, -124563, -16921262]$ |
\(y^2=x^3-124563x-16921262\) |
888.2.0.? |
$[]$ |
26640.g1 |
26640k1 |
26640.g |
26640k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1.741377835$ |
$1$ |
|
$2$ |
$11520$ |
$0.566844$ |
$-2/4625$ |
$[0, 0, 0, -3, -3998]$ |
\(y^2=x^3-3x-3998\) |
1480.2.0.? |
$[(23, 90)]$ |
26640.h1 |
26640j1 |
26640.h |
26640j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$4440$ |
$48$ |
$0$ |
$1.835614818$ |
$1$ |
|
$5$ |
$9216$ |
$0.334953$ |
$94875856/185$ |
$[0, 0, 0, -543, 4862]$ |
\(y^2=x^3-543x+4862\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 370.6.0.?, 740.24.0.?, $\ldots$ |
$[(14, 2)]$ |
26640.h2 |
26640j2 |
26640.h |
26640j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$4440$ |
$48$ |
$0$ |
$0.917807409$ |
$1$ |
|
$7$ |
$18432$ |
$0.681526$ |
$-7086244/34225$ |
$[0, 0, 0, -363, 8138]$ |
\(y^2=x^3-363x+8138\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 740.12.0.?, 1480.24.0.?, $\ldots$ |
$[(19, 90)]$ |
26640.i1 |
26640bf2 |
26640.i |
26640bf |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{12} \cdot 3^{11} \cdot 5 \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$725760$ |
$2.634087$ |
$-843013059301831868416/61543395$ |
$[0, 0, 0, -28339968, -58069374352]$ |
\(y^2=x^3-28339968x-58069374352\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 1110.8.0.?, 2220.16.0.? |
$[]$ |
26640.i2 |
26640bf1 |
26640.i |
26640bf |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{12} \cdot 3^{21} \cdot 5^{3} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$2.084782$ |
$-1539038632738816/66363694875$ |
$[0, 0, 0, -346368, -81331792]$ |
\(y^2=x^3-346368x-81331792\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 1110.8.0.?, 2220.16.0.? |
$[]$ |
26640.j1 |
26640bg3 |
26640.j |
26640bg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$1.885962$ |
$16232905099479601/4052240$ |
$[0, 0, 0, -759603, -254816782]$ |
\(y^2=x^3-759603x-254816782\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.48.0-12.f.1.4, $\ldots$ |
$[]$ |
26640.j2 |
26640bg4 |
26640.j |
26640bg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$2.232536$ |
$-16048965315233521/256572640900$ |
$[0, 0, 0, -756723, -256844878]$ |
\(y^2=x^3-756723x-256844878\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.1, 12.96.0-12.b.2.3, $\ldots$ |
$[]$ |
26640.j3 |
26640bg1 |
26640.j |
26640bg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{3} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.336655$ |
$46694890801/18944000$ |
$[0, 0, 0, -10803, -236302]$ |
\(y^2=x^3-10803x-236302\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.48.0-12.f.1.2, $\ldots$ |
$[]$ |
26640.j4 |
26640bg2 |
26640.j |
26640bg |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.683229$ |
$1625964918479/1369000000$ |
$[0, 0, 0, 35277, -1720078]$ |
\(y^2=x^3+35277x-1720078\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.3, 12.96.0-12.b.1.1, $\ldots$ |
$[]$ |
26640.k1 |
26640bc1 |
26640.k |
26640bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$0.842030260$ |
$1$ |
|
$4$ |
$11520$ |
$0.538423$ |
$40247296/23125$ |
$[0, 0, 0, -408, 268]$ |
\(y^2=x^3-408x+268\) |
74.2.0.? |
$[(-6, 50)]$ |
26640.l1 |
26640bb1 |
26640.l |
26640bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{23} \cdot 3^{6} \cdot 5 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$2.802881021$ |
$1$ |
|
$2$ |
$25344$ |
$0.997723$ |
$214921799/378880$ |
$[0, 0, 0, 1797, -41942]$ |
\(y^2=x^3+1797x-41942\) |
1480.2.0.? |
$[(71, 666)]$ |
26640.m1 |
26640u2 |
26640.m |
26640u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$4.974377772$ |
$1$ |
|
$3$ |
$27648$ |
$0.946358$ |
$1062144635427/54760$ |
$[0, 0, 0, -10203, -396662]$ |
\(y^2=x^3-10203x-396662\) |
2.3.0.a.1, 120.6.0.?, 444.6.0.?, 1480.6.0.?, 4440.12.0.? |
$[(231, 3094)]$ |
26640.m2 |
26640u1 |
26640.m |
26640u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$2.487188886$ |
$1$ |
|
$5$ |
$13824$ |
$0.599784$ |
$-219256227/59200$ |
$[0, 0, 0, -603, -6902]$ |
\(y^2=x^3-603x-6902\) |
2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.? |
$[(39, 170)]$ |
26640.n1 |
26640b1 |
26640.n |
26640b |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$0.723465$ |
$-36799488/4625$ |
$[0, 0, 0, -1188, 17388]$ |
\(y^2=x^3-1188x+17388\) |
1110.2.0.? |
$[]$ |
26640.o1 |
26640g4 |
26640.o |
26640g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{3} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$7.828376151$ |
$1$ |
|
$3$ |
$811008$ |
$2.642120$ |
$8167450100737631904002/124875$ |
$[0, 0, 0, -47952003, 127808060002]$ |
\(y^2=x^3-47952003x+127808060002\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(8223, 538070)]$ |
26640.o2 |
26640g3 |
26640.o |
26640g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{11} \cdot 3^{18} \cdot 5^{3} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1.957094037$ |
$1$ |
|
$3$ |
$811008$ |
$2.642120$ |
$2085187657182084002/124500749500125$ |
$[0, 0, 0, -3042003, 1933934002]$ |
\(y^2=x^3-3042003x+1933934002\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(773, 6660)]$ |
26640.o3 |
26640g2 |
26640.o |
26640g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{6} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$3.914188075$ |
$1$ |
|
$7$ |
$405504$ |
$2.295547$ |
$3988023972023988004/15593765625$ |
$[0, 0, 0, -2997003, 1996997002]$ |
\(y^2=x^3-2997003x+1996997002\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 148.12.0.?, $\ldots$ |
$[(-1027, 63180)]$ |
26640.o4 |
26640g1 |
26640.o |
26640g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{12} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$7.828376151$ |
$1$ |
|
$1$ |
$202752$ |
$1.948973$ |
$-3721915550952016/243896484375$ |
$[0, 0, 0, -184503, 32184502]$ |
\(y^2=x^3-184503x+32184502\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(-6391/5, 989352/5)]$ |
26640.p1 |
26640be4 |
26640.p |
26640be |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$8880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$2.849274$ |
$4385367890843575421521/24975000000$ |
$[0, 0, 0, -49104723, 132444219922]$ |
\(y^2=x^3-49104723x+132444219922\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 24.48.0-24.by.1.15, $\ldots$ |
$[]$ |
26640.p2 |
26640be6 |
26640.p |
26640be |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{15} \cdot 3^{30} \cdot 5 \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$8880$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2654208$ |
$3.195847$ |
$3080272010107543650001/15465841417699560$ |
$[0, 0, 0, -43650003, -110517818222]$ |
\(y^2=x^3-43650003x-110517818222\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.2, $\ldots$ |
$[]$ |
26640.p3 |
26640be3 |
26640.p |
26640be |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$4440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1327104$ |
$2.849274$ |
$2788936974993502801/1593609593601600$ |
$[0, 0, 0, -4222803, 375124498]$ |
\(y^2=x^3-4222803x+375124498\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.3, 24.48.0-24.h.2.6, $\ldots$ |
$[]$ |
26640.p4 |
26640be2 |
26640.p |
26640be |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{24} \cdot 3^{12} \cdot 5^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$4440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$663552$ |
$2.502697$ |
$1072487167529950801/2554882560000$ |
$[0, 0, 0, -3070803, 2066951698]$ |
\(y^2=x^3-3070803x+2066951698\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.1, 24.48.0-24.h.1.6, $\ldots$ |
$[]$ |
26640.p5 |
26640be1 |
26640.p |
26640be |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{36} \cdot 3^{9} \cdot 5^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$8880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$2.156124$ |
$-66730743078481/419010969600$ |
$[0, 0, 0, -121683, 56241682]$ |
\(y^2=x^3-121683x+56241682\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.4, $\ldots$ |
$[]$ |
26640.p6 |
26640be5 |
26640.p |
26640be |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{15} \cdot 3^{12} \cdot 5 \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$8880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$3.195847$ |
$174751791402194852399/102423900876336360$ |
$[0, 0, 0, 16772397, 2991126418]$ |
\(y^2=x^3+16772397x+2991126418\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 24.48.0-24.by.2.7, $\ldots$ |
$[]$ |
26640.q1 |
26640i1 |
26640.q |
26640i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$5.911816489$ |
$1$ |
|
$0$ |
$57600$ |
$1.372389$ |
$1995203838976/361328125$ |
$[0, 0, 0, -14988, -585412]$ |
\(y^2=x^3-14988x-585412\) |
74.2.0.? |
$[(-18031/14, 334375/14)]$ |
26640.r1 |
26640h1 |
26640.r |
26640h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{11} \cdot 3^{12} \cdot 5 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$2.384726576$ |
$1$ |
|
$4$ |
$27648$ |
$0.947951$ |
$-4610398322/134865$ |
$[0, 0, 0, -3963, -98422]$ |
\(y^2=x^3-3963x-98422\) |
1480.2.0.? |
$[(73, 36)]$ |
26640.s1 |
26640e1 |
26640.s |
26640e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.403965$ |
$1362944/4995$ |
$[0, 0, 0, 132, -1348]$ |
\(y^2=x^3+132x-1348\) |
1110.2.0.? |
$[]$ |
26640.t1 |
26640bd1 |
26640.t |
26640bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{3} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$0.906595102$ |
$1$ |
|
$4$ |
$64512$ |
$1.322350$ |
$-243087455521/5328000$ |
$[0, 0, 0, -18723, 1004578]$ |
\(y^2=x^3-18723x+1004578\) |
1480.2.0.? |
$[(113, 576)]$ |
26640.u1 |
26640bh1 |
26640.u |
26640bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.567069$ |
$16777216/925$ |
$[0, 0, 0, -768, 7792]$ |
\(y^2=x^3-768x+7792\) |
74.2.0.? |
$[]$ |
26640.v1 |
26640r1 |
26640.v |
26640r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5^{4} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.447668$ |
$4516672077/2960000$ |
$[0, 0, 0, 14877, 254178]$ |
\(y^2=x^3+14877x+254178\) |
888.2.0.? |
$[]$ |
26640.w1 |
26640v1 |
26640.w |
26640v |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{4} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.284294806$ |
$1$ |
|
$6$ |
$414720$ |
$2.317139$ |
$-991990479802737267/22190066240000$ |
$[0, 0, 0, -997323, 390694522]$ |
\(y^2=x^3-997323x+390694522\) |
888.2.0.? |
$[(197, 14208)]$ |
26640.x1 |
26640bk4 |
26640.x |
26640bk |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{21} \cdot 3^{8} \cdot 5 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1161216$ |
$2.579597$ |
$127568139540190201/59114336463360$ |
$[0, 0, 0, -1510203, -318864022]$ |
\(y^2=x^3-1510203x-318864022\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$ |
$[]$ |
26640.x2 |
26640bk2 |
26640.x |
26640bk |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{15} \cdot 3^{12} \cdot 5^{3} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$387072$ |
$2.030289$ |
$16581570075765001/998001000$ |
$[0, 0, 0, -765003, 257525498]$ |
\(y^2=x^3-765003x+257525498\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$ |
$[]$ |
26640.x3 |
26640bk1 |
26640.x |
26640bk |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$1.683716$ |
$-3375675045001/999000000$ |
$[0, 0, 0, -45003, 4517498]$ |
\(y^2=x^3-45003x+4517498\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.c.1, $\ldots$ |
$[]$ |
26640.x4 |
26640bk3 |
26640.x |
26640bk |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{30} \cdot 3^{7} \cdot 5^{2} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$580608$ |
$2.233025$ |
$1367594037332999/995878502400$ |
$[0, 0, 0, 332997, -37591702]$ |
\(y^2=x^3+332997x-37591702\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.c.1, $\ldots$ |
$[]$ |
26640.y1 |
26640bw1 |
26640.y |
26640bw |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$888$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.422832$ |
$3132662187311104/151723125$ |
$[0, 0, 0, -69132, -6995981]$ |
\(y^2=x^3-69132x-6995981\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 74.6.0.?, 148.24.0.?, $\ldots$ |
$[]$ |
26640.y2 |
26640bw2 |
26640.y |
26640bw |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$888$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.769407$ |
$-166426126492624/43316015625$ |
$[0, 0, 0, -65487, -7766534]$ |
\(y^2=x^3-65487x-7766534\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 148.12.0.?, 296.24.0.?, $\ldots$ |
$[]$ |
26640.z1 |
26640ce2 |
26640.z |
26640ce |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{13} \cdot 3^{8} \cdot 5 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1.235261250$ |
$1$ |
|
$7$ |
$30720$ |
$1.044827$ |
$14688124849/123210$ |
$[0, 0, 0, -7347, 240626]$ |
\(y^2=x^3-7347x+240626\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[(55, 54)]$ |
26640.z2 |
26640ce1 |
26640.z |
26640ce |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$0.617630625$ |
$1$ |
|
$9$ |
$15360$ |
$0.698253$ |
$-117649/11100$ |
$[0, 0, 0, -147, 8786]$ |
\(y^2=x^3-147x+8786\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[(7, 90)]$ |
26640.ba1 |
26640x1 |
26640.ba |
26640x |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1110$ |
$2$ |
$0$ |
$1.716772390$ |
$1$ |
|
$2$ |
$5760$ |
$0.087855$ |
$110592/185$ |
$[0, 0, 0, 48, 176]$ |
\(y^2=x^3+48x+176\) |
1110.2.0.? |
$[(1, 15)]$ |
26640.bb1 |
26640y2 |
26640.bb |
26640y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{22} \cdot 3^{9} \cdot 5^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$22.15399929$ |
$1$ |
|
$1$ |
$2027520$ |
$2.826233$ |
$281470209323873024547/35046400$ |
$[0, 0, 0, -58982067, -174352466574]$ |
\(y^2=x^3-58982067x-174352466574\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[(14024714623/1027, 1278184247632430/1027)]$ |
26640.bb2 |
26640y1 |
26640.bb |
26640y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{32} \cdot 3^{9} \cdot 5^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$11.07699964$ |
$1$ |
|
$1$ |
$1013760$ |
$2.479660$ |
$-68700855708416547/24248320000$ |
$[0, 0, 0, -3686067, -2724741774]$ |
\(y^2=x^3-3686067x-2724741774\) |
2.3.0.a.1, 12.6.0.b.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[(2059743/13, 2916941490/13)]$ |