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 |
40560.a1 |
40560bm1 |
40560.a |
40560bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$299520$ |
$1.716923$ |
$-18264064/675$ |
$[0, -1, 0, -82021, -9298355]$ |
\(y^2=x^3-x^2-82021x-9298355\) |
6.2.0.a.1 |
$[]$ |
40560.b1 |
40560bk1 |
40560.b |
40560bk |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.095037$ |
$-4096/195$ |
$[0, -1, 0, -901, 95341]$ |
\(y^2=x^3-x^2-901x+95341\) |
390.2.0.? |
$[]$ |
40560.c1 |
40560d1 |
40560.c |
40560d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$3.487906611$ |
$1$ |
|
$2$ |
$161280$ |
$1.517076$ |
$-504871936/394875$ |
$[0, -1, 0, -17801, -1395915]$ |
\(y^2=x^3-x^2-17801x-1395915\) |
390.2.0.? |
$[(724, 19097)]$ |
40560.d1 |
40560c1 |
40560.d |
40560c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.849560117$ |
$1$ |
|
$2$ |
$224640$ |
$1.633860$ |
$-1316978/1215$ |
$[0, -1, 0, -27096, 2774160]$ |
\(y^2=x^3-x^2-27096x+2774160\) |
120.2.0.? |
$[(-56, 2028)]$ |
40560.e1 |
40560b2 |
40560.e |
40560b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.684309016$ |
$1$ |
|
$3$ |
$129024$ |
$1.459093$ |
$434163602/7605$ |
$[0, -1, 0, -33856, -2349920]$ |
\(y^2=x^3-x^2-33856x-2349920\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(581, 13182)]$ |
40560.e2 |
40560b1 |
40560.e |
40560b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.342154508$ |
$1$ |
|
$5$ |
$64512$ |
$1.112520$ |
$-4/975$ |
$[0, -1, 0, -56, -105600]$ |
\(y^2=x^3-x^2-56x-105600\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(61, 338)]$ |
40560.f1 |
40560bj1 |
40560.f |
40560bj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72576$ |
$1.154539$ |
$-2365581049/6750$ |
$[0, -1, 0, -13576, -605840]$ |
\(y^2=x^3-x^2-13576x-605840\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 120.16.0.? |
$[]$ |
40560.f2 |
40560bj2 |
40560.f |
40560bj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3 \cdot 5^{9} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$217728$ |
$1.703846$ |
$18573478391/46875000$ |
$[0, -1, 0, 26984, -3136784]$ |
\(y^2=x^3-x^2+26984x-3136784\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 120.16.0.? |
$[]$ |
40560.g1 |
40560a6 |
40560.g |
40560a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3 \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$3120$ |
$192$ |
$1$ |
$2.376047710$ |
$1$ |
|
$5$ |
$245760$ |
$1.762474$ |
$1770025017602/75$ |
$[0, -1, 0, -540856, 153278800]$ |
\(y^2=x^3-x^2-540856x+153278800\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0.bj.1, $\ldots$ |
$[(426, 38)]$ |
40560.g2 |
40560a4 |
40560.g |
40560a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1.188023855$ |
$1$ |
|
$13$ |
$122880$ |
$1.415899$ |
$868327204/5625$ |
$[0, -1, 0, -33856, 2395600]$ |
\(y^2=x^3-x^2-33856x+2395600\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0.k.1, 40.48.0.v.1, $\ldots$ |
$[(88, 300)]$ |
40560.g3 |
40560a5 |
40560.g |
40560a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3 \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$3120$ |
$192$ |
$1$ |
$2.376047710$ |
$1$ |
|
$5$ |
$245760$ |
$1.762474$ |
$-27995042/1171875$ |
$[0, -1, 0, -13576, 5218576]$ |
\(y^2=x^3-x^2-13576x+5218576\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 24.48.0.bo.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(-30, 2366)]$ |
40560.g4 |
40560a2 |
40560.g |
40560a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$2.376047710$ |
$1$ |
|
$7$ |
$61440$ |
$1.069326$ |
$3631696/2025$ |
$[0, -1, 0, -3436, -13664]$ |
\(y^2=x^3-x^2-3436x-13664\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(-20, 216)]$ |
40560.g5 |
40560a1 |
40560.g |
40560a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$3120$ |
$192$ |
$1$ |
$4.752095421$ |
$1$ |
|
$1$ |
$30720$ |
$0.722753$ |
$24918016/45$ |
$[0, -1, 0, -2591, -49830]$ |
\(y^2=x^3-x^2-2591x-49830\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 16.24.0.f.2, $\ldots$ |
$[(-254/3, 116/3)]$ |
40560.g6 |
40560a3 |
40560.g |
40560a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$3120$ |
$192$ |
$1$ |
$4.752095421$ |
$1$ |
|
$1$ |
$122880$ |
$1.415899$ |
$54607676/32805$ |
$[0, -1, 0, 13464, -121824]$ |
\(y^2=x^3-x^2+13464x-121824\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 20.12.0.h.1, 40.48.0.bm.2, $\ldots$ |
$[(765/2, 24543/2)]$ |
40560.h1 |
40560bg8 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.170 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$3.165039$ |
$242970740812818720001/24375$ |
$[0, -1, 0, -351520056, 2536841521200]$ |
\(y^2=x^3-x^2-351520056x+2536841521200\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 16.48.0-16.g.1.13, $\ldots$ |
$[]$ |
40560.h2 |
40560bg6 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.110 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$2064384$ |
$2.818466$ |
$59319456301170001/594140625$ |
$[0, -1, 0, -21970056, 39643441200]$ |
\(y^2=x^3-x^2-21970056x+39643441200\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.9, 12.24.0-4.b.1.2, 24.96.0-24.bb.1.15, $\ldots$ |
$[]$ |
40560.h3 |
40560bg7 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{16} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.170 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$3.165039$ |
$-55150149867714721/5950927734375$ |
$[0, -1, 0, -21442776, 41636137776]$ |
\(y^2=x^3-x^2-21442776x+41636137776\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.2, 16.48.0-16.g.1.13, $\ldots$ |
$[]$ |
40560.h4 |
40560bg4 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.46 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$1032192$ |
$2.471893$ |
$15551989015681/1445900625$ |
$[0, -1, 0, -1406136, 588444336]$ |
\(y^2=x^3-x^2-1406136x+588444336\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.10, 24.96.0-24.b.1.24, 40.96.0-40.b.2.18, $\ldots$ |
$[]$ |
40560.h5 |
40560bg2 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.132 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$516096$ |
$2.125317$ |
$168288035761/27720225$ |
$[0, -1, 0, -311016, -56362320]$ |
\(y^2=x^3-x^2-311016x-56362320\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.11, 20.24.0-4.b.1.2, 40.96.0-40.bc.2.11, $\ldots$ |
$[]$ |
40560.h6 |
40560bg1 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.159 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$1.778744$ |
$147281603041/5265$ |
$[0, -1, 0, -297496, -62354384]$ |
\(y^2=x^3-x^2-297496x-62354384\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.g.1.5, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
40560.h7 |
40560bg3 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.159 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1032192$ |
$2.471893$ |
$1023887723039/2798036865$ |
$[0, -1, 0, 567784, -317893200]$ |
\(y^2=x^3-x^2+567784x-317893200\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.g.1.5, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
40560.h8 |
40560bg5 |
40560.h |
40560bg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.64 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.818466$ |
$24487529386319/183539412225$ |
$[0, -1, 0, 1635864, 2783551536]$ |
\(y^2=x^3-x^2+1635864x+2783551536\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0-8.q.1.5, 24.48.0.be.2, $\ldots$ |
$[]$ |
40560.i1 |
40560f1 |
40560.i |
40560f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$179712$ |
$1.531807$ |
$202612/45$ |
$[0, -1, 0, -27096, -1338624]$ |
\(y^2=x^3-x^2-27096x-1338624\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
40560.i2 |
40560f2 |
40560.i |
40560f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$359424$ |
$1.878382$ |
$1143574/2025$ |
$[0, -1, 0, 60784, -8298720]$ |
\(y^2=x^3-x^2+60784x-8298720\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
40560.j1 |
40560bh2 |
40560.j |
40560bh |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{12} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3234816$ |
$3.001144$ |
$-21752792449024/6591796875$ |
$[0, -1, 0, -8694261, 12182645565]$ |
\(y^2=x^3-x^2-8694261x+12182645565\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2 |
$[]$ |
40560.j2 |
40560bh1 |
40560.j |
40560bh |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1078272$ |
$2.451839$ |
$16742875136/12301875$ |
$[0, -1, 0, 796779, -142418979]$ |
\(y^2=x^3-x^2+796779x-142418979\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1 |
$[]$ |
40560.k1 |
40560bn2 |
40560.k |
40560bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.545836373$ |
$1$ |
|
$7$ |
$73728$ |
$1.204662$ |
$258840217117/18225$ |
$[0, -1, 0, -27616, -1757120]$ |
\(y^2=x^3-x^2-27616x-1757120\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(-96, 8)]$ |
40560.k2 |
40560bn1 |
40560.k |
40560bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.091672746$ |
$1$ |
|
$5$ |
$36864$ |
$0.858088$ |
$-51895117/16875$ |
$[0, -1, 0, -1616, -30720]$ |
\(y^2=x^3-x^2-1616x-30720\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(64, 352)]$ |
40560.l1 |
40560bi4 |
40560.l |
40560bi |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{27} \cdot 3^{6} \cdot 5 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$17418240$ |
$3.981007$ |
$73474353581350183614361/576510977802240$ |
$[0, -1, 0, -2359449616, 44113241767360]$ |
\(y^2=x^3-x^2-2359449616x+44113241767360\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 40.6.0.b.1, $\ldots$ |
$[]$ |
40560.l2 |
40560bi3 |
40560.l |
40560bi |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{42} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8709120$ |
$3.634434$ |
$-16818951115904497561/1592332281446400$ |
$[0, -1, 0, -144332816, 719989702080]$ |
\(y^2=x^3-x^2-144332816x+719989702080\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 40.6.0.c.1, $\ldots$ |
$[]$ |
40560.l3 |
40560bi2 |
40560.l |
40560bi |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{18} \cdot 5^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5806080$ |
$3.431702$ |
$453198971846635561/261896250564000$ |
$[0, -1, 0, -43270816, -4109861120]$ |
\(y^2=x^3-x^2-43270816x-4109861120\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 40.6.0.b.1, $\ldots$ |
$[]$ |
40560.l4 |
40560bi1 |
40560.l |
40560bi |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{22} \cdot 3^{9} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2903040$ |
$3.085129$ |
$7064514799444439/4094064000000$ |
$[0, -1, 0, 10809184, -518949120]$ |
\(y^2=x^3-x^2+10809184x-518949120\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 40.6.0.c.1, $\ldots$ |
$[]$ |
40560.m1 |
40560g1 |
40560.m |
40560g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{5} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$0.684374$ |
$-934577152/9375$ |
$[0, -1, 0, -1681, 27325]$ |
\(y^2=x^3-x^2-1681x+27325\) |
390.2.0.? |
$[]$ |
40560.n1 |
40560e4 |
40560.n |
40560e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.41 |
2B |
$1040$ |
$192$ |
$3$ |
$5.151730992$ |
$1$ |
|
$5$ |
$2064384$ |
$2.874577$ |
$19129597231400697604/26325$ |
$[0, -1, 0, -94910456, 355924440000]$ |
\(y^2=x^3-x^2-94910456x+355924440000\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 16.48.0-16.i.1.8, 26.6.0.b.1, $\ldots$ |
$[(4784, 106488)]$ |
40560.n2 |
40560e2 |
40560.n |
40560e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.22 |
2Cs |
$520$ |
$192$ |
$3$ |
$10.30346198$ |
$1$ |
|
$3$ |
$1032192$ |
$2.528000$ |
$18681746265374416/693005625$ |
$[0, -1, 0, -5931956, 5562698400]$ |
\(y^2=x^3-x^2-5931956x+5562698400\) |
2.6.0.a.1, 4.24.0-4.a.1.2, 8.48.0-8.g.1.4, 52.48.0-52.b.1.2, 104.96.1.?, $\ldots$ |
$[(882729/23, 213458154/23)]$ |
40560.n3 |
40560e3 |
40560.n |
40560e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.5 |
2B |
$1040$ |
$192$ |
$3$ |
$5.151730992$ |
$1$ |
|
$3$ |
$2064384$ |
$2.874577$ |
$-4053153720264484/903687890625$ |
$[0, -1, 0, -5658176, 6099088176]$ |
\(y^2=x^3-x^2-5658176x+6099088176\) |
2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.2, 52.48.0-4.c.1.1, 104.96.1.?, $\ldots$ |
$[(4078, 225446)]$ |
40560.n4 |
40560e1 |
40560.n |
40560e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.57 |
2B |
$1040$ |
$192$ |
$3$ |
$5.151730992$ |
$1$ |
|
$1$ |
$516096$ |
$2.181427$ |
$83587439220736/13990184325$ |
$[0, -1, 0, -387911, 78529086]$ |
\(y^2=x^3-x^2-387911x+78529086\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 16.48.0-16.i.1.6, 26.6.0.b.1, $\ldots$ |
$[(8674/3, 660790/3)]$ |
40560.o1 |
40560bl1 |
40560.o |
40560bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2096640$ |
$2.593723$ |
$-79370312059129/12960$ |
$[0, -1, 0, -13384856, 18852612336]$ |
\(y^2=x^3-x^2-13384856x+18852612336\) |
40.2.0.a.1 |
$[]$ |
40560.p1 |
40560bx1 |
40560.p |
40560bx |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.689110649$ |
$1$ |
|
$6$ |
$161280$ |
$1.311249$ |
$-79370312059129/12960$ |
$[0, -1, 0, -79200, 8605440]$ |
\(y^2=x^3-x^2-79200x+8605440\) |
40.2.0.a.1 |
$[(162, 18)]$ |
40560.q1 |
40560bv7 |
40560.q |
40560bv |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{4} \cdot 5^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$0.558289621$ |
$1$ |
|
$11$ |
$1327104$ |
$2.539787$ |
$16778985534208729/81000$ |
$[0, -1, 0, -14421840, 21085221312]$ |
\(y^2=x^3-x^2-14421840x+21085221312\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(2184, 720)]$ |
40560.q2 |
40560bv8 |
40560.q |
40560bv |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{12} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$2.233158486$ |
$1$ |
|
$5$ |
$1327104$ |
$2.539787$ |
$10316097499609/5859375000$ |
$[0, -1, 0, -1226320, 71550400]$ |
\(y^2=x^3-x^2-1226320x+71550400\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(-510, 23750)]$ |
40560.q3 |
40560bv6 |
40560.q |
40560bv |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$1560$ |
$384$ |
$5$ |
$1.116579243$ |
$1$ |
|
$13$ |
$663552$ |
$2.193214$ |
$4102915888729/9000000$ |
$[0, -1, 0, -901840, 329317312]$ |
\(y^2=x^3-x^2-901840x+329317312\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[(594, 1690)]$ |
40560.q4 |
40560bv5 |
40560.q |
40560bv |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$6.699475458$ |
$1$ |
|
$1$ |
$442368$ |
$1.990482$ |
$2656166199049/33750$ |
$[0, -1, 0, -780160, -264967808]$ |
\(y^2=x^3-x^2-780160x-264967808\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(-12726/5, 6118/5)]$ |
40560.q5 |
40560bv4 |
40560.q |
40560bv |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{12} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$1.674868864$ |
$1$ |
|
$7$ |
$442368$ |
$1.990482$ |
$35578826569/5314410$ |
$[0, -1, 0, -185280, 26501760]$ |
\(y^2=x^3-x^2-185280x+26501760\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(152, 1352)]$ |
40560.q6 |
40560bv2 |
40560.q |
40560bv |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$1560$ |
$384$ |
$5$ |
$3.349737729$ |
$1$ |
|
$7$ |
$221184$ |
$1.643908$ |
$702595369/72900$ |
$[0, -1, 0, -50080, -3891200]$ |
\(y^2=x^3-x^2-50080x-3891200\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[(-144, 560)]$ |
40560.q7 |
40560bv3 |
40560.q |
40560bv |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{24} \cdot 3 \cdot 5^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$2.233158486$ |
$1$ |
|
$5$ |
$331776$ |
$1.846642$ |
$-273359449/1536000$ |
$[0, -1, 0, -36560, 8817600]$ |
\(y^2=x^3-x^2-36560x+8817600\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(-95, 3380)]$ |
40560.q8 |
40560bv1 |
40560.q |
40560bv |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{3} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$6.699475458$ |
$1$ |
|
$1$ |
$110592$ |
$1.297335$ |
$357911/2160$ |
$[0, -1, 0, 4000, -300288]$ |
\(y^2=x^3-x^2+4000x-300288\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(9481/5, 932204/5)]$ |
40560.r1 |
40560l4 |
40560.r |
40560l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3 \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.927795$ |
$490757540836/2142075$ |
$[0, -1, 0, -279920, 56881200]$ |
\(y^2=x^3-x^2-279920x+56881200\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
40560.r2 |
40560l2 |
40560.r |
40560l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$258048$ |
$1.581221$ |
$1650587344/950625$ |
$[0, -1, 0, -26420, -105600]$ |
\(y^2=x^3-x^2-26420x-105600\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 52.24.0-52.b.1.2, 156.48.0.? |
$[]$ |
40560.r3 |
40560l1 |
40560.r |
40560l |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$1.234648$ |
$9538484224/26325$ |
$[0, -1, 0, -18815, -984738]$ |
\(y^2=x^3-x^2-18815x-984738\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[]$ |