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 |
116886.a1 |
116886i1 |
116886.a |
116886i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$6072$ |
$4$ |
$0$ |
$0.183177996$ |
$1$ |
|
$24$ |
$417792$ |
$1.312885$ |
$-1719624451633/439139480976$ |
$[1, 1, 0, -1234, 350596]$ |
\(y^2+xy=x^3+x^2-1234x+350596\) |
4.2.0.a.1, 6072.4.0.? |
$[(88, 922), (249, 3820)]$ |
116886.b1 |
116886a2 |
116886.b |
116886a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 3^{6} \cdot 7 \cdot 11^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$42504$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$887040$ |
$1.805328$ |
$26013270347/5398974$ |
$[1, 1, 0, -82161, -7293645]$ |
\(y^2+xy=x^3+x^2-82161x-7293645\) |
2.3.0.a.1, 616.6.0.?, 3036.6.0.?, 3864.6.0.?, 42504.12.0.? |
$[]$ |
116886.b2 |
116886a1 |
116886.b |
116886a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{3} \cdot 7^{2} \cdot 11^{9} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$42504$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$443520$ |
$1.458755$ |
$62570773/121716$ |
$[1, 1, 0, 11009, -678575]$ |
\(y^2+xy=x^3+x^2+11009x-678575\) |
2.3.0.a.1, 616.6.0.?, 1518.6.0.?, 3864.6.0.?, 42504.12.0.? |
$[]$ |
116886.c1 |
116886b6 |
116886.c |
116886b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{16} \cdot 7 \cdot 11^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$28336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5242880$ |
$2.614922$ |
$54804145548726848737/637608031452$ |
$[1, 1, 0, -9575216, 11400258324]$ |
\(y^2+xy=x^3+x^2-9575216x+11400258324\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 28.12.0.h.1, $\ldots$ |
$[]$ |
116886.c2 |
116886b4 |
116886.c |
116886b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 11^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$28336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2621440$ |
$2.268349$ |
$614716917569296417/19093020912$ |
$[1, 1, 0, -2143396, -1208679776]$ |
\(y^2+xy=x^3+x^2-2143396x-1208679776\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 44.12.0-4.c.1.2, 88.48.0.?, $\ldots$ |
$[]$ |
116886.c3 |
116886b3 |
116886.c |
116886b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 11^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$14168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$2621440$ |
$2.268349$ |
$14447092394873377/1439452851984$ |
$[1, 1, 0, -613956, 168215040]$ |
\(y^2+xy=x^3+x^2-613956x+168215040\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 28.24.0.c.1, 44.24.0-4.b.1.1, $\ldots$ |
$[]$ |
116886.c4 |
116886b2 |
116886.c |
116886b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{4} \cdot 7^{4} \cdot 11^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$14168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$1310720$ |
$1.921776$ |
$169967019783457/26337394944$ |
$[1, 1, 0, -139636, -17244080]$ |
\(y^2+xy=x^3+x^2-139636x-17244080\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 44.24.0-4.b.1.3, 56.48.0.v.2, $\ldots$ |
$[]$ |
116886.c5 |
116886b1 |
116886.c |
116886b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{2} \cdot 7^{2} \cdot 11^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$28336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$655360$ |
$1.575201$ |
$221115865823/664731648$ |
$[1, 1, 0, 15244, -1477296]$ |
\(y^2+xy=x^3+x^2+15244x-1477296\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
116886.c6 |
116886b5 |
116886.c |
116886b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7 \cdot 11^{6} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$28336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5242880$ |
$2.614922$ |
$27207619911317663/177609314617308$ |
$[1, 1, 0, 758184, 815041836]$ |
\(y^2+xy=x^3+x^2+758184x+815041836\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
116886.d1 |
116886e1 |
116886.d |
116886e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2 \cdot 3^{3} \cdot 7^{5} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.368178904$ |
$1$ |
|
$4$ |
$691200$ |
$1.692499$ |
$4307673070511/2525789574$ |
$[1, 1, 0, 41017, 384531]$ |
\(y^2+xy=x^3+x^2+41017x+384531\) |
3864.2.0.? |
$[(-5, 426)]$ |
116886.e1 |
116886h1 |
116886.e |
116886h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3 \cdot 7 \cdot 11^{7} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$0.902963043$ |
$1$ |
|
$10$ |
$111360$ |
$0.773491$ |
$-244140625/21252$ |
$[1, 1, 0, -1575, 25161]$ |
\(y^2+xy=x^3+x^2-1575x+25161\) |
21252.2.0.? |
$[(17, 52), (380, 7191)]$ |
116886.f1 |
116886c1 |
116886.f |
116886c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{5} \cdot 3^{9} \cdot 7 \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$3.296230308$ |
$1$ |
|
$2$ |
$518400$ |
$1.592726$ |
$-25727239787761/101406816$ |
$[1, 1, 0, -74417, 7809333]$ |
\(y^2+xy=x^3+x^2-74417x+7809333\) |
3864.2.0.? |
$[(-71, 3605)]$ |
116886.g1 |
116886f4 |
116886.g |
116886f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{6} \cdot 7 \cdot 11^{7} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$52.45173097$ |
$1$ |
|
$0$ |
$44236800$ |
$3.760075$ |
$97413070452067229637409633/140666577176907936$ |
$[1, 1, 0, -1159889304, -15204991845600]$ |
\(y^2+xy=x^3+x^2-1159889304x-15204991845600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.14, 88.24.0.?, $\ldots$ |
$[(-813819213769346488773175/6432471419, 3726370588548122444019601060519010/6432471419)]$ |
116886.g2 |
116886f3 |
116886.g |
116886f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{24} \cdot 7^{4} \cdot 11^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$13.11293274$ |
$1$ |
|
$0$ |
$44236800$ |
$3.760075$ |
$400476194988122984445793/126270124548858769248$ |
$[1, 1, 0, -185810264, 657634198368]$ |
\(y^2+xy=x^3+x^2-185810264x+657634198368\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 56.24.0-56.z.1.6, $\ldots$ |
$[(-701081/11, 1655454072/11)]$ |
116886.g3 |
116886f2 |
116886.g |
116886f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{12} \cdot 7^{2} \cdot 11^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$616$ |
$48$ |
$0$ |
$26.22586548$ |
$1$ |
|
$2$ |
$22118400$ |
$3.413502$ |
$24439335640029940889953/902916953746891776$ |
$[1, 1, 0, -73154424, -233045403840]$ |
\(y^2+xy=x^3+x^2-73154424x-233045403840\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0-28.b.1.4, $\ldots$ |
$[(-619036137463/11957, 90046129477163973/11957)]$ |
116886.g4 |
116886f1 |
116886.g |
116886f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{20} \cdot 3^{6} \cdot 7 \cdot 11^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$616$ |
$48$ |
$0$ |
$13.11293274$ |
$1$ |
|
$1$ |
$11059200$ |
$3.066929$ |
$368637286278891167/41443067603976192$ |
$[1, 1, 0, 1807496, -13002183872]$ |
\(y^2+xy=x^3+x^2+1807496x-13002183872\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(75322051/185, 249543307796/185)]$ |
116886.h1 |
116886d1 |
116886.h |
116886d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{3} \cdot 7^{7} \cdot 11^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$6.420215112$ |
$1$ |
|
$2$ |
$4112640$ |
$2.266823$ |
$-224412099736609/2722801160772$ |
$[1, 1, 0, -153188, 108094980]$ |
\(y^2+xy=x^3+x^2-153188x+108094980\) |
21252.2.0.? |
$[(510, 12510)]$ |
116886.i1 |
116886g1 |
116886.i |
116886g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{5} \cdot 7 \cdot 11^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1932$ |
$2$ |
$0$ |
$2.565714823$ |
$1$ |
|
$2$ |
$1689600$ |
$1.724592$ |
$394947738889/10015488$ |
$[1, 1, 0, -91478, 10375380]$ |
\(y^2+xy=x^3+x^2-91478x+10375380\) |
1932.2.0.? |
$[(1260, 42930)]$ |
116886.j1 |
116886n2 |
116886.j |
116886n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{6} \cdot 11^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$0.665970488$ |
$1$ |
|
$8$ |
$6635520$ |
$2.654556$ |
$486034459476995521/253095136942032$ |
$[1, 0, 1, -1981983, -340077278]$ |
\(y^2+xy+y=x^3-1981983x-340077278\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[(-397, 19800)]$ |
116886.j2 |
116886n1 |
116886.j |
116886n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{3} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1.331940976$ |
$1$ |
|
$7$ |
$3317760$ |
$2.307983$ |
$6360314548472639/4097346156288$ |
$[1, 0, 1, 467057, -41294398]$ |
\(y^2+xy+y=x^3+467057x-41294398\) |
2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.? |
$[(340, 12353)]$ |
116886.k1 |
116886m2 |
116886.k |
116886m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2 \cdot 3 \cdot 7^{3} \cdot 11^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$2.278239438$ |
$1$ |
|
$2$ |
$518400$ |
$1.300549$ |
$-2181825073/25039686$ |
$[1, 0, 1, -3270, 328150]$ |
\(y^2+xy+y=x^3-3270x+328150\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 3864.8.0.?, 42504.16.0.? |
$[(10, 539)]$ |
116886.k2 |
116886m1 |
116886.k |
116886m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7 \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$0.759413146$ |
$1$ |
|
$4$ |
$172800$ |
$0.751242$ |
$2924207/34776$ |
$[1, 0, 1, 360, -11618]$ |
\(y^2+xy+y=x^3+360x-11618\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 3864.8.0.?, 42504.16.0.? |
$[(32, 165)]$ |
116886.l1 |
116886q1 |
116886.l |
116886q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7^{4} \cdot 11^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$6072$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37306368$ |
$3.382755$ |
$-595911384446123713/60681357950976$ |
$[1, 0, 1, -51895330, -156044723980]$ |
\(y^2+xy+y=x^3-51895330x-156044723980\) |
4.2.0.a.1, 6072.4.0.? |
$[]$ |
116886.m1 |
116886l6 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{10} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$4048$ |
$192$ |
$1$ |
$19.45167379$ |
$1$ |
|
$0$ |
$98304000$ |
$4.164543$ |
$36136672427711016379227705697/1011258101510224722$ |
$[1, 0, 1, -8334128377, 292844688915986]$ |
\(y^2+xy+y=x^3-8334128377x+292844688915986\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 44.12.0-4.c.1.1, 88.96.0.?, $\ldots$ |
$[(11660563519/470, 533423132707/470)]$ |
116886.m2 |
116886l4 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{16} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$4048$ |
$192$ |
$1$ |
$9.725836899$ |
$1$ |
|
$0$ |
$49152000$ |
$3.817970$ |
$13244420128496241770842177/29965867631164664892$ |
$[1, 0, 1, -596424007, -5595437019394]$ |
\(y^2+xy+y=x^3-596424007x-5595437019394\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 44.12.0-4.c.1.2, $\ldots$ |
$[(-899831/8, 57058441/8)]$ |
116886.m3 |
116886l3 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 11^{14} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$2024$ |
$192$ |
$1$ |
$9.725836899$ |
$1$ |
|
$2$ |
$49152000$ |
$3.817970$ |
$8856076866003496152467137/46664863048067576004$ |
$[1, 0, 1, -521544367, 4563463980590]$ |
\(y^2+xy+y=x^3-521544367x+4563463980590\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 44.24.0-4.b.1.1, 88.96.0.?, $\ldots$ |
$[(60247/2, 2768209/2)]$ |
116886.m4 |
116886l5 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{22} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$4048$ |
$192$ |
$1$ |
$19.45167379$ |
$1$ |
|
$0$ |
$98304000$ |
$4.164543$ |
$-855073332201294509246497/21439133060285771735058$ |
$[1, 0, 1, -239264677, 9484050624794]$ |
\(y^2+xy+y=x^3-239264677x+9484050624794\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(-91378529/118, 5397848207315/118)]$ |
116886.m5 |
116886l2 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 11^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$2024$ |
$192$ |
$1$ |
$4.862918449$ |
$1$ |
|
$4$ |
$24576000$ |
$3.471394$ |
$8232463578739844255617/4687062591766850064$ |
$[1, 0, 1, -50900347, -17784910090]$ |
\(y^2+xy+y=x^3-50900347x-17784910090\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 44.24.0-4.b.1.3, 88.96.0.?, $\ldots$ |
$[(-1145, 198044)]$ |
116886.m6 |
116886l1 |
116886.m |
116886l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{16} \cdot 7^{4} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$4048$ |
$192$ |
$1$ |
$2.431459224$ |
$1$ |
|
$3$ |
$12288000$ |
$3.124821$ |
$125177609053596564863/73635189229502208$ |
$[1, 0, 1, 12610133, -2212140394]$ |
\(y^2+xy+y=x^3+12610133x-2212140394\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(1903, 168392)]$ |
116886.n1 |
116886u1 |
116886.n |
116886u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 11^{4} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1932$ |
$2$ |
$0$ |
$0.106528166$ |
$1$ |
|
$32$ |
$497664$ |
$1.292099$ |
$4399969620937/2484466992$ |
$[1, 0, 1, -8352, -46466]$ |
\(y^2+xy+y=x^3-8352x-46466\) |
1932.2.0.? |
$[(-67, 495), (-34, 462)]$ |
116886.o1 |
116886s1 |
116886.o |
116886s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{5} \cdot 11^{3} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$0.057867750$ |
$1$ |
|
$40$ |
$984960$ |
$1.812517$ |
$-187443868067/16099967224908$ |
$[1, 0, 1, -1312, 7042946]$ |
\(y^2+xy+y=x^3-1312x+7042946\) |
21252.2.0.? |
$[(-173, 1535), (142, 3047)]$ |
116886.p1 |
116886w4 |
116886.p |
116886w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 3^{6} \cdot 7^{4} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14168$ |
$48$ |
$0$ |
$1.184739081$ |
$1$ |
|
$6$ |
$4915200$ |
$2.575935$ |
$632678989847546725777/80515134$ |
$[1, 0, 1, -21640732, 38746796900]$ |
\(y^2+xy+y=x^3-21640732x+38746796900\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 56.12.0.z.1, 184.12.0.?, $\ldots$ |
$[(2698, -247)]$ |
116886.p2 |
116886w3 |
116886.p |
116886w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 3^{24} \cdot 7 \cdot 11^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14168$ |
$48$ |
$0$ |
$1.184739081$ |
$1$ |
|
$6$ |
$4915200$ |
$2.575935$ |
$231331938231569617/90942310746882$ |
$[1, 0, 1, -1547472, 419454484]$ |
\(y^2+xy+y=x^3-1547472x+419454484\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 88.12.0.?, 184.12.0.?, $\ldots$ |
$[(278, 3141)]$ |
116886.p3 |
116886w2 |
116886.p |
116886w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{12} \cdot 7^{2} \cdot 11^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$14168$ |
$48$ |
$0$ |
$0.592369540$ |
$1$ |
|
$16$ |
$2457600$ |
$2.229362$ |
$154502321244119857/55101928644$ |
$[1, 0, 1, -1352662, 605225300]$ |
\(y^2+xy+y=x^3-1352662x+605225300\) |
2.6.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 184.12.0.?, 308.24.0.?, $\ldots$ |
$[(520, 6260)]$ |
116886.p4 |
116886w1 |
116886.p |
116886w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7 \cdot 11^{6} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14168$ |
$48$ |
$0$ |
$0.296184770$ |
$1$ |
|
$11$ |
$1228800$ |
$1.882788$ |
$-23771111713777/22848457968$ |
$[1, 0, 1, -72482, 12245924]$ |
\(y^2+xy+y=x^3-72482x+12245924\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(-78, 4213)]$ |
116886.q1 |
116886r1 |
116886.q |
116886r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7 \cdot 11^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$4.242536040$ |
$1$ |
|
$2$ |
$1330560$ |
$2.054565$ |
$-977077413467/71221248$ |
$[1, 0, 1, -275157, -58972256]$ |
\(y^2+xy+y=x^3-275157x-58972256\) |
21252.2.0.? |
$[(1331, 43302)]$ |
116886.r1 |
116886v1 |
116886.r |
116886v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{5} \cdot 7 \cdot 11^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$3.513241814$ |
$1$ |
|
$0$ |
$844800$ |
$1.795065$ |
$-172715635009/9694992384$ |
$[1, 0, 1, -14039, -6338950]$ |
\(y^2+xy+y=x^3-14039x-6338950\) |
3864.2.0.? |
$[(843/2, 1331/2)]$ |
116886.s1 |
116886k2 |
116886.s |
116886k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2 \cdot 3^{4} \cdot 7^{2} \cdot 11^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$3.158899167$ |
$1$ |
|
$2$ |
$2580480$ |
$2.357533$ |
$26444015547214434625/46191222$ |
$[1, 0, 1, -7510231, -7922501380]$ |
\(y^2+xy+y=x^3-7510231x-7922501380\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(3574, 102575)]$ |
116886.s2 |
116886k1 |
116886.s |
116886k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$6.317798335$ |
$1$ |
|
$3$ |
$1290240$ |
$2.010960$ |
$-6449916994998625/8532911772$ |
$[1, 0, 1, -469241, -123900856]$ |
\(y^2+xy+y=x^3-469241x-123900856\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(14541, 1744204)]$ |
116886.t1 |
116886o2 |
116886.t |
116886o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 11^{2} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21252$ |
$16$ |
$0$ |
$3.435991936$ |
$1$ |
|
$4$ |
$2488320$ |
$2.333168$ |
$3776104682692733708238625/3408048$ |
$[1, 0, 1, -16046066, 24738734612]$ |
\(y^2+xy+y=x^3-16046066x+24738734612\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 1932.8.0.?, 21252.16.0.? |
$[(2313, -1127), (2138, 13293)]$ |
116886.t2 |
116886o1 |
116886.t |
116886o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{9} \cdot 7 \cdot 11^{2} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21252$ |
$16$ |
$0$ |
$0.381776881$ |
$1$ |
|
$16$ |
$829440$ |
$1.783861$ |
$7110352307247726625/6866458324992$ |
$[1, 0, 1, -198146, 33903956]$ |
\(y^2+xy+y=x^3-198146x+33903956\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 1932.8.0.?, 21252.16.0.? |
$[(333, 2041), (-150, 7837)]$ |
116886.u1 |
116886j2 |
116886.u |
116886j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{3} \cdot 11^{9} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21252$ |
$16$ |
$0$ |
$17.27106184$ |
$1$ |
|
$0$ |
$1077753600$ |
$5.313416$ |
$-3133382230165522315000208250857964625/153574604080128$ |
$[1, 0, 1, -3688772954056, 2726910926533633046]$ |
\(y^2+xy+y=x^3-3688772954056x+2726910926533633046\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 1932.8.0.?, 21252.16.0.? |
$[(40540448905/191, 26723536344757/191)]$ |
116886.u2 |
116886j1 |
116886.u |
116886j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{30} \cdot 3^{9} \cdot 7^{9} \cdot 11^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21252$ |
$16$ |
$0$ |
$5.757020616$ |
$1$ |
|
$2$ |
$359251200$ |
$4.764107$ |
$-5895856113332931416918127084625/215771481613620039647232$ |
$[1, 0, 1, -45540006856, 3740684175189014]$ |
\(y^2+xy+y=x^3-45540006856x+3740684175189014\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 1932.8.0.?, 21252.16.0.? |
$[(217129, 63838187)]$ |
116886.v1 |
116886t2 |
116886.v |
116886t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{9} \cdot 3^{4} \cdot 7 \cdot 11^{4} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3864$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1804032$ |
$2.069714$ |
$-39402364010111991625/3532128768$ |
$[1, 0, 1, -1734296, -879233434]$ |
\(y^2+xy+y=x^3-1734296x-879233434\) |
3.8.0-3.a.1.1, 1288.2.0.?, 3864.16.0.? |
$[]$ |
116886.v2 |
116886t1 |
116886.v |
116886t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{12} \cdot 7^{3} \cdot 11^{4} \cdot 23 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$601344$ |
$1.520407$ |
$-52802213121625/33540304392$ |
$[1, 0, 1, -19121, -1475476]$ |
\(y^2+xy+y=x^3-19121x-1475476\) |
3.8.0-3.a.1.2, 1288.2.0.?, 3864.16.0.? |
$[]$ |
116886.w1 |
116886p4 |
116886.w |
116886p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{4} \cdot 7 \cdot 11^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$42504$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.041286$ |
$36204575259448513/1527466248$ |
$[1, 0, 1, -833935, 293040218]$ |
\(y^2+xy+y=x^3-833935x+293040218\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
116886.w2 |
116886p2 |
116886.w |
116886p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$42504$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$829440$ |
$1.694714$ |
$10214075575873/1806590016$ |
$[1, 0, 1, -54695, 4098026]$ |
\(y^2+xy+y=x^3-54695x+4098026\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 264.24.0.?, 1288.12.0.?, $\ldots$ |
$[]$ |
116886.w3 |
116886p1 |
116886.w |
116886p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 2^{12} \cdot 3 \cdot 7 \cdot 11^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$42504$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$414720$ |
$1.348141$ |
$254478514753/21762048$ |
$[1, 0, 1, -15975, -718742]$ |
\(y^2+xy+y=x^3-15975x-718742\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
116886.w4 |
116886p3 |
116886.w |
116886p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3 \cdot 7^{4} \cdot 11^{7} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$42504$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.041286$ |
$72318867421247/177381135624$ |
$[1, 0, 1, 105025, 23583866]$ |
\(y^2+xy+y=x^3+105025x+23583866\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
116886.x1 |
116886x1 |
116886.x |
116886x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{9} \cdot 3 \cdot 7^{11} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$4.079065138$ |
$1$ |
|
$2$ |
$5068800$ |
$2.543079$ |
$83228502970940543/69854999176704$ |
$[1, 0, 1, 1100613, -298150778]$ |
\(y^2+xy+y=x^3+1100613x-298150778\) |
3864.2.0.? |
$[(15190, 1868933)]$ |