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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
377520.a1 |
377520a2 |
377520.a |
377520a |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{18} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9.994376093$ |
$1$ |
|
$0$ |
$55987200$ |
$3.203938$ |
$-21580315425730848803929/96405029296875000$ |
$[0, -1, 0, -45901456, -120144065600]$ |
\(y^2=x^3-x^2-45901456x-120144065600\) |
377520.a2 |
377520a1 |
377520.a |
377520a |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{15} \cdot 5^{6} \cdot 11^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3.331458697$ |
$1$ |
|
$2$ |
$18662400$ |
$2.654629$ |
$557820238477845431/985142146218750$ |
$[0, -1, 0, 1357184, -872153984]$ |
\(y^2=x^3-x^2+1357184x-872153984\) |
377520.b1 |
377520b4 |
377520.b |
377520b |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{6} \cdot 11^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$72.08447963$ |
$1$ |
|
$1$ |
$6967296000$ |
$5.723213$ |
$4944928228995290413834018379264689/189679641808585500000$ |
$[0, -1, 0, -6871487800536, -6933046927213365264]$ |
\(y^2=x^3-x^2-6871487800536x-6933046927213365264\) |
377520.b2 |
377520b3 |
377520.b |
377520b |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{12} \cdot 11^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$144.1689592$ |
$1$ |
|
$1$ |
$3483648000$ |
$5.376640$ |
$-1207087636168285491836819264689/236446260657750000000000$ |
$[0, -1, 0, -429447800536, -108339443949365264]$ |
\(y^2=x^3-x^2-429447800536x-108339443949365264\) |
377520.b3 |
377520b2 |
377520.b |
377520b |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{27} \cdot 3^{30} \cdot 5^{2} \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24.02815987$ |
$1$ |
|
$1$ |
$2322432000$ |
$5.173912$ |
$9532597152396244075685450929/313550122650789880627200$ |
$[0, -1, 0, -85520033496, -9348495201265680]$ |
\(y^2=x^3-x^2-85520033496x-9348495201265680\) |
377520.b4 |
377520b1 |
377520.b |
377520b |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{42} \cdot 3^{15} \cdot 5^{4} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$48.05631975$ |
$1$ |
|
$1$ |
$1161216000$ |
$4.827339$ |
$75991146714893572533071/15147028085515223040000$ |
$[0, -1, 0, 1708382504, -503673384331280]$ |
\(y^2=x^3-x^2+1708382504x-503673384331280\) |
377520.c1 |
377520c2 |
377520.c |
377520c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1.768791730$ |
$1$ |
|
$7$ |
$860160$ |
$1.140539$ |
$3991233958/2132325$ |
$[0, -1, 0, -4616, -31920]$ |
\(y^2=x^3-x^2-4616x-31920\) |
377520.c2 |
377520c1 |
377520.c |
377520c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 11^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.884395865$ |
$1$ |
|
$9$ |
$430080$ |
$0.793966$ |
$109083604/68445$ |
$[0, -1, 0, 1104, -4464]$ |
\(y^2=x^3-x^2+1104x-4464\) |
377520.d1 |
377520d1 |
377520.d |
377520d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5 \cdot 11^{3} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$483840$ |
$0.986987$ |
$-841232384/98865$ |
$[0, -1, 0, -3461, -84819]$ |
\(y^2=x^3-x^2-3461x-84819\) |
377520.e1 |
377520e4 |
377520.e |
377520e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 5^{2} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$1.844269$ |
$490757540836/2142075$ |
$[0, -1, 0, -200416, -34336784]$ |
\(y^2=x^3-x^2-200416x-34336784\) |
377520.e2 |
377520e2 |
377520.e |
377520e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$1966080$ |
$1.497694$ |
$1650587344/950625$ |
$[0, -1, 0, -18916, 75616]$ |
\(y^2=x^3-x^2-18916x+75616\) |
377520.e3 |
377520e1 |
377520.e |
377520e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$983040$ |
$1.151121$ |
$9538484224/26325$ |
$[0, -1, 0, -13471, 604870]$ |
\(y^2=x^3-x^2-13471x+604870\) |
377520.e4 |
377520e3 |
377520.e |
377520e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$1.844269$ |
$26198797244/15234375$ |
$[0, -1, 0, 75464, 528640]$ |
\(y^2=x^3-x^2+75464x+528640\) |
377520.f1 |
377520f1 |
377520.f |
377520f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3 \cdot 5^{9} \cdot 11^{9} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$175633920$ |
$3.951626$ |
$385226073849504061/278469750000000$ |
$[0, -1, 0, 322821184, -1114402857984]$ |
\(y^2=x^3-x^2+322821184x-1114402857984\) |
377520.g1 |
377520g1 |
377520.g |
377520g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$3041280$ |
$1.898212$ |
$442720256/1026675$ |
$[0, -1, 0, 60339, 9872865]$ |
\(y^2=x^3-x^2+60339x+9872865\) |
377520.h1 |
377520h1 |
377520.h |
377520h |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2.106385031$ |
$1$ |
|
$2$ |
$29736960$ |
$2.922520$ |
$-74380756680592384/748446075$ |
$[0, -1, 0, -33294521, 73956479445]$ |
\(y^2=x^3-x^2-33294521x+73956479445\) |
377520.i1 |
377520i1 |
377520.i |
377520i |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{7} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28.54898525$ |
$1$ |
|
$0$ |
$15079680$ |
$2.737087$ |
$1228254807296/3208359375$ |
$[0, -1, 0, 1664194, -1549513425]$ |
\(y^2=x^3-x^2+1664194x-1549513425\) |
377520.j1 |
377520j2 |
377520.j |
377520j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{14} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8.164742001$ |
$1$ |
|
$3$ |
$20643840$ |
$2.904804$ |
$7627805994948049/711323149680$ |
$[0, -1, 0, -7939576, 7889215600]$ |
\(y^2=x^3-x^2-7939576x+7889215600\) |
377520.j2 |
377520j1 |
377520.j |
377520j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{2} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4.082371000$ |
$1$ |
|
$5$ |
$10321920$ |
$2.558231$ |
$2955605685551/22016966400$ |
$[0, -1, 0, 578824, 583835760]$ |
\(y^2=x^3-x^2+578824x+583835760\) |
377520.k1 |
377520k1 |
377520.k |
377520k |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{23} \cdot 3^{18} \cdot 5^{3} \cdot 11^{4} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1$ |
$1$ |
|
$0$ |
$86220288$ |
$3.498722$ |
$-1426016903883782089/217897680469248000$ |
$[0, -1, 0, -9178616, -174246071184]$ |
\(y^2=x^3-x^2-9178616x-174246071184\) |
377520.k2 |
377520k2 |
377520.k |
377520k |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{45} \cdot 3^{6} \cdot 5^{9} \cdot 11^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1$ |
$1$ |
|
$0$ |
$258660864$ |
$4.048027$ |
$1037724929386537879751/158997676032000000000$ |
$[0, -1, 0, 82558744, 4689155026800]$ |
\(y^2=x^3-x^2+82558744x+4689155026800\) |
377520.l1 |
377520l1 |
377520.l |
377520l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$1.334066$ |
$3718856704/2132325$ |
$[0, -1, 0, -9841, 39316]$ |
\(y^2=x^3-x^2-9841x+39316\) |
377520.l2 |
377520l2 |
377520.l |
377520l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$1.680639$ |
$14647977776/8555625$ |
$[0, -1, 0, 39164, 274540]$ |
\(y^2=x^3-x^2+39164x+274540\) |
377520.m1 |
377520m2 |
377520.m |
377520m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1.690757718$ |
$1$ |
|
$5$ |
$2949120$ |
$1.843956$ |
$127299503236/6776055$ |
$[0, -1, 0, -127816, 16802656]$ |
\(y^2=x^3-x^2-127816x+16802656\) |
377520.m2 |
377520m1 |
377520.m |
377520m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3.381515437$ |
$1$ |
|
$3$ |
$1474560$ |
$1.497383$ |
$35969456/1061775$ |
$[0, -1, 0, 5284, 1043616]$ |
\(y^2=x^3-x^2+5284x+1043616\) |
377520.n1 |
377520n1 |
377520.n |
377520n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5 \cdot 11^{6} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$12566400$ |
$2.558685$ |
$396555344454656/328867205355$ |
$[0, -1, 0, 1175959, 322608981]$ |
\(y^2=x^3-x^2+1175959x+322608981\) |
377520.o1 |
377520o2 |
377520.o |
377520o |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3 \cdot 5^{3} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11.27196097$ |
$1$ |
|
$0$ |
$1166400$ |
$1.521948$ |
$-4684079104/823875$ |
$[0, -1, 0, -26781, -1917375]$ |
\(y^2=x^3-x^2-26781x-1917375\) |
377520.o2 |
377520o1 |
377520.o |
377520o |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 11^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3.757320323$ |
$1$ |
|
$2$ |
$388800$ |
$0.972642$ |
$2809856/1755$ |
$[0, -1, 0, 2259, 10881]$ |
\(y^2=x^3-x^2+2259x+10881\) |
377520.p1 |
377520p2 |
377520.p |
377520p |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{9} \cdot 11^{7} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42.55162762$ |
$1$ |
|
$0$ |
$130636800$ |
$3.770737$ |
$-18605093748570727251049/91759078125000$ |
$[0, -1, 0, -1068746576, -13447779023424]$ |
\(y^2=x^3-x^2-1068746576x-13447779023424\) |
377520.p2 |
377520p1 |
377520.p |
377520p |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{15} \cdot 5^{3} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14.18387587$ |
$1$ |
|
$0$ |
$43545600$ |
$3.221428$ |
$-7475384530020889/62069784455250$ |
$[0, -1, 0, -7886336, -33392760960]$ |
\(y^2=x^3-x^2-7886336x-33392760960\) |
377520.q1 |
377520q1 |
377520.q |
377520q |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11^{10} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11.31935356$ |
$1$ |
|
$0$ |
$82114560$ |
$3.532116$ |
$-5431655920328704/2036310046875$ |
$[0, -1, 0, -68832221, 282179977521]$ |
\(y^2=x^3-x^2-68832221x+282179977521\) |
377520.q2 |
377520q2 |
377520.q |
377520q |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3 \cdot 5^{18} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$33.95806070$ |
$1$ |
|
$0$ |
$246343680$ |
$4.081421$ |
$2410191378353217536/1934051513671875$ |
$[0, -1, 0, 525006739, -2879181109935]$ |
\(y^2=x^3-x^2+525006739x-2879181109935\) |
377520.r1 |
377520r2 |
377520.r |
377520r |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{3} \cdot 11^{10} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$369.8112931$ |
$1$ |
|
$0$ |
$615859200$ |
$4.589882$ |
$-4076918475185827892929/2576893347639000$ |
$[0, -1, 0, -15762739736, -762131160959760]$ |
\(y^2=x^3-x^2-15762739736x-762131160959760\) |
377520.r2 |
377520r1 |
377520.r |
377520r |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{21} \cdot 3^{15} \cdot 5 \cdot 11^{10} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$123.2704310$ |
$1$ |
|
$0$ |
$205286400$ |
$4.040573$ |
$5678843727095231/80702844618240$ |
$[0, -1, 0, 176038504, -4363390362384]$ |
\(y^2=x^3-x^2+176038504x-4363390362384\) |
377520.s1 |
377520s1 |
377520.s |
377520s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{29} \cdot 3 \cdot 5^{5} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$4$ |
$2$ |
$0$ |
$43084800$ |
$3.318104$ |
$-305088363822419089/15974400000$ |
$[0, -1, 0, -134297456, -599014017600]$ |
\(y^2=x^3-x^2-134297456x-599014017600\) |
377520.t1 |
377520t1 |
377520.t |
377520t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$3998400$ |
$2.016949$ |
$-32278933504/27421875$ |
$[0, -1, 0, -128421, -27784755]$ |
\(y^2=x^3-x^2-128421x-27784755\) |
377520.u1 |
377520u4 |
377520.u |
377520u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3 \cdot 5^{4} \cdot 11^{10} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16.27986500$ |
$1$ |
|
$1$ |
$70778880$ |
$3.508827$ |
$456612868287073618849/12544848030000$ |
$[0, -1, 0, -310584776, -2106622452240]$ |
\(y^2=x^3-x^2-310584776x-2106622452240\) |
377520.u2 |
377520u3 |
377520.u |
377520u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3 \cdot 5^{16} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16.27986500$ |
$1$ |
|
$1$ |
$70778880$ |
$3.508827$ |
$9908022260084596129/1047363281250000$ |
$[0, -1, 0, -86628296, 280596762096]$ |
\(y^2=x^3-x^2-86628296x+280596762096\) |
377520.u3 |
377520u2 |
377520.u |
377520u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8.139932502$ |
$1$ |
|
$3$ |
$35389440$ |
$3.162254$ |
$125337052492018849/18404100000000$ |
$[0, -1, 0, -20184776, -30146292240]$ |
\(y^2=x^3-x^2-20184776x-30146292240\) |
377520.u4 |
377520u1 |
377520.u |
377520u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{4} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4.069966251$ |
$1$ |
|
$3$ |
$17694720$ |
$2.815681$ |
$144794100308831/474439680000$ |
$[0, -1, 0, 2117944, -2562288144]$ |
\(y^2=x^3-x^2+2117944x-2562288144\) |
377520.v1 |
377520v3 |
377520.v |
377520v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$4915200$ |
$2.096722$ |
$383507853966436/57915$ |
$[0, -1, 0, -1846016, 966002160]$ |
\(y^2=x^3-x^2-1846016x+966002160\) |
377520.v2 |
377520v2 |
377520.v |
377520v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$2457600$ |
$1.750147$ |
$377843214544/4601025$ |
$[0, -1, 0, -115716, 15029280]$ |
\(y^2=x^3-x^2-115716x+15029280\) |
377520.v3 |
377520v4 |
377520.v |
377520v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3 \cdot 5^{4} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$4915200$ |
$2.096722$ |
$-592143556/356874375$ |
$[0, -1, 0, -21336, 38737536]$ |
\(y^2=x^3-x^2-21336x+38737536\) |
377520.v4 |
377520v1 |
377520.v |
377520v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1$ |
$4$ |
$2$ |
$1$ |
$1228800$ |
$1.403572$ |
$9538484224/4712565$ |
$[0, -1, 0, -13471, -225674]$ |
\(y^2=x^3-x^2-13471x-225674\) |
377520.w1 |
377520w3 |
377520.w |
377520w |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 11^{7} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1$ |
$1$ |
|
$3$ |
$17694720$ |
$2.910107$ |
$2035678735521204409/141376950$ |
$[0, -1, 0, -51117216, 140686194816]$ |
\(y^2=x^3-x^2-51117216x+140686194816\) |
377520.w2 |
377520w4 |
377520.w |
377520w |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{8} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$2.910107$ |
$2489411558640889/1338278906250$ |
$[0, -1, 0, -5466336, -1309368960]$ |
\(y^2=x^3-x^2-5466336x-1309368960\) |
377520.w3 |
377520w2 |
377520.w |
377520w |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1$ |
$1$ |
|
$3$ |
$8847360$ |
$2.563534$ |
$499980107400409/4140922500$ |
$[0, -1, 0, -3201216, 2189788416]$ |
\(y^2=x^3-x^2-3201216x+2189788416\) |
377520.w4 |
377520w1 |
377520.w |
377520w |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.216961$ |
$-4165509529/375289200$ |
$[0, -1, 0, -64896, 79672320]$ |
\(y^2=x^3-x^2-64896x+79672320\) |
377520.x1 |
377520x4 |
377520.x |
377520x |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{3} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4.062979197$ |
$1$ |
|
$3$ |
$8847360$ |
$2.519512$ |
$52337949619538/23423590125$ |
$[0, -1, 0, -1197456, -239709600]$ |
\(y^2=x^3-x^2-1197456x-239709600\) |
377520.x2 |
377520x2 |
377520.x |
377520x |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2.031489598$ |
$1$ |
|
$9$ |
$4423680$ |
$2.172935$ |
$12677589459076/213890625$ |
$[0, -1, 0, -592456, 173142400]$ |
\(y^2=x^3-x^2-592456x+173142400\) |