| 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 |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 9408.a1 |
9408ci1 |
9408.a |
9408ci |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.872872094$ |
$1$ |
|
$2$ |
$960$ |
$-0.549868$ |
$3584/3$ |
$0.82184$ |
$1.77444$ |
$[0, -1, 0, 5, 1]$ |
\(y^2=x^3-x^2+5x+1\) |
6.2.0.a.1 |
$[(0, 1)]$ |
| 9408.b1 |
9408ch2 |
9408.b |
9408ch |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.204 |
2B |
$56$ |
$96$ |
$1$ |
$3.539857913$ |
$1$ |
|
$5$ |
$172032$ |
$2.122158$ |
$838561807/26244$ |
$1.03462$ |
$5.52359$ |
$[0, -1, 0, -431265, 106164801]$ |
\(y^2=x^3-x^2-431265x+106164801\) |
2.3.0.a.1, 4.12.0.f.1, 8.48.0.q.2, 28.24.0.i.1, 56.96.1.cq.1 |
$[(-16, 10633)]$ |
| 9408.b2 |
9408ch1 |
9408.b |
9408ch |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{22} \cdot 3^{4} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.203 |
2B |
$56$ |
$96$ |
$1$ |
$1.769928956$ |
$1$ |
|
$5$ |
$86016$ |
$1.775583$ |
$4913/1296$ |
$1.13279$ |
$4.87571$ |
$[0, -1, 0, 7775, 5624641]$ |
\(y^2=x^3-x^2+7775x+5624641\) |
2.3.0.a.1, 4.12.0.f.1, 8.48.0.q.1, 14.6.0.b.1, 28.24.0.g.1, $\ldots$ |
$[(-35, 2304)]$ |
| 9408.c1 |
9408t1 |
9408.c |
9408t |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.435036$ |
$92100460096/20253807$ |
$1.03479$ |
$4.49001$ |
$[0, -1, 0, -18440, 765066]$ |
\(y^2=x^3-x^2-18440x+765066\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[]$ |
| 9408.c2 |
9408t2 |
9408.c |
9408t |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.781610$ |
$15926924096/28588707$ |
$1.04804$ |
$4.83394$ |
$[0, -1, 0, 41095, 4634841]$ |
\(y^2=x^3-x^2+41095x+4634841\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[]$ |
| 9408.d1 |
9408d2 |
9408.d |
9408d |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{33} \cdot 3 \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.434946505$ |
$1$ |
|
$4$ |
$34560$ |
$1.486639$ |
$-16591834777/98304$ |
$1.06741$ |
$4.78753$ |
$[0, -1, 0, -45537, -3744159]$ |
\(y^2=x^3-x^2-45537x-3744159\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 24.16.0-24.d.1.2 |
$[(329, 4096)]$ |
| 9408.d2 |
9408d1 |
9408.d |
9408d |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{23} \cdot 3^{3} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$0.478315501$ |
$1$ |
|
$4$ |
$11520$ |
$0.937333$ |
$596183/864$ |
$1.03569$ |
$3.71251$ |
$[0, -1, 0, 1503, -27999]$ |
\(y^2=x^3-x^2+1503x-27999\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 24.16.0-24.d.1.1 |
$[(89, 896)]$ |
| 9408.e1 |
9408bs1 |
9408.e |
9408bs |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.238756$ |
$-1668296/27$ |
$0.92232$ |
$4.40682$ |
$[0, -1, 0, -14177, 663489]$ |
\(y^2=x^3-x^2-14177x+663489\) |
24.2.0.b.1 |
$[]$ |
| 9408.f1 |
9408br1 |
9408.f |
9408br |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.066227$ |
$-7168/27$ |
$0.94787$ |
$3.95273$ |
$[0, -1, 0, -1829, 83133]$ |
\(y^2=x^3-x^2-1829x+83133\) |
6.2.0.a.1 |
$[]$ |
| 9408.g1 |
9408ce3 |
9408.g |
9408ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{15} \cdot 3 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$4.025007622$ |
$1$ |
|
$3$ |
$24576$ |
$1.260895$ |
$2438569736/21$ |
$0.97593$ |
$4.77493$ |
$[0, -1, 0, -43969, -3534047]$ |
\(y^2=x^3-x^2-43969x-3534047\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.9, 56.24.0-56.ba.1.3, $\ldots$ |
$[(663, 16072)]$ |
| 9408.g2 |
9408ce2 |
9408.g |
9408ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$2.012503811$ |
$1$ |
|
$9$ |
$12288$ |
$0.914322$ |
$5088448/441$ |
$0.96662$ |
$3.87304$ |
$[0, -1, 0, -2809, -51911]$ |
\(y^2=x^3-x^2-2809x-51911\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.2, 24.24.0-24.a.1.8, 28.12.0.a.1, $\ldots$ |
$[(-35, 48)]$ |
| 9408.g3 |
9408ce1 |
9408.g |
9408ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1.006251905$ |
$1$ |
|
$5$ |
$6144$ |
$0.567748$ |
$3241792/567$ |
$0.96732$ |
$3.36921$ |
$[0, -1, 0, -604, 4978]$ |
\(y^2=x^3-x^2-604x+4978\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.1, 28.12.0.h.1, $\ldots$ |
$[(-9, 98)]$ |
| 9408.g4 |
9408ce4 |
9408.g |
9408ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3 \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$4.025007622$ |
$1$ |
|
$3$ |
$24576$ |
$1.260895$ |
$830584/7203$ |
$0.97109$ |
$4.19054$ |
$[0, -1, 0, 3071, -245951]$ |
\(y^2=x^3-x^2+3071x-245951\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.v.1.5, 56.24.0-56.ba.1.9, $\ldots$ |
$[(63, 440)]$ |
| 9408.h1 |
9408q5 |
9408.h |
9408q |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{2} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$336$ |
$192$ |
$1$ |
$0.648228612$ |
$1$ |
|
$25$ |
$24576$ |
$1.367323$ |
$3065617154/9$ |
$1.21059$ |
$4.95146$ |
$[0, -1, 0, -75329, 7982913]$ |
\(y^2=x^3-x^2-75329x+7982913\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[(161, 48), (131, 588)]$ |
| 9408.h2 |
9408q3 |
9408.h |
9408q |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3 \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$336$ |
$192$ |
$1$ |
$10.37165780$ |
$1$ |
|
$9$ |
$12288$ |
$1.020750$ |
$28756228/3$ |
$1.05617$ |
$4.36537$ |
$[0, -1, 0, -12609, -540735]$ |
\(y^2=x^3-x^2-12609x-540735\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[(-64, 1), (376, 6909)]$ |
| 9408.h3 |
9408q4 |
9408.h |
9408q |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$2.592914450$ |
$1$ |
|
$25$ |
$12288$ |
$1.020750$ |
$1556068/81$ |
$1.03212$ |
$4.04659$ |
$[0, -1, 0, -4769, 122529]$ |
\(y^2=x^3-x^2-4769x+122529\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 28.24.0-4.b.1.2, $\ldots$ |
$[(65, 288), (49, 64)]$ |
| 9408.h4 |
9408q2 |
9408.h |
9408q |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$168$ |
$192$ |
$1$ |
$2.592914450$ |
$1$ |
|
$27$ |
$6144$ |
$0.674176$ |
$35152/9$ |
$0.97255$ |
$3.48080$ |
$[0, -1, 0, -849, -6831]$ |
\(y^2=x^3-x^2-849x-6831\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[(-16, 49), (-21, 36)]$ |
| 9408.h5 |
9408q1 |
9408.h |
9408q |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$336$ |
$192$ |
$1$ |
$2.592914450$ |
$1$ |
|
$11$ |
$3072$ |
$0.327603$ |
$2048/3$ |
$1.17572$ |
$2.91362$ |
$[0, -1, 0, 131, -755]$ |
\(y^2=x^3-x^2+131x-755\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[(12, 49), (21, 104)]$ |
| 9408.h6 |
9408q6 |
9408.h |
9408q |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{8} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$336$ |
$192$ |
$1$ |
$2.592914450$ |
$1$ |
|
$17$ |
$24576$ |
$1.367323$ |
$207646/6561$ |
$1.15980$ |
$4.33738$ |
$[0, -1, 0, 3071, 478465]$ |
\(y^2=x^3-x^2+3071x+478465\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 28.12.0-4.c.1.2, 48.96.1.w.2, $\ldots$ |
$[(33, 784), (16, 729)]$ |
| 9408.i1 |
9408n1 |
9408.i |
9408n |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{5} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.577253$ |
$401408/243$ |
$1.33755$ |
$4.59771$ |
$[0, -1, 0, 25611, 330093]$ |
\(y^2=x^3-x^2+25611x+330093\) |
6.2.0.a.1 |
$[]$ |
| 9408.j1 |
9408m2 |
9408.j |
9408m |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.401117$ |
$82881856/27$ |
$1.01988$ |
$4.81609$ |
$[0, -1, 0, -49849, 4299289]$ |
\(y^2=x^3-x^2-49849x+4299289\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.36.0.k.1, 24.72.2.f.1, $\ldots$ |
$[]$ |
| 9408.j2 |
9408m1 |
9408.j |
9408m |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$168$ |
$144$ |
$7$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$1.054543$ |
$1906624/729$ |
$1.01837$ |
$3.94925$ |
$[0, -1, 0, -3544, 48490]$ |
\(y^2=x^3-x^2-3544x+48490\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 12.36.0.h.1, 24.72.2.a.1, $\ldots$ |
$[]$ |
| 9408.k1 |
9408cc2 |
9408.k |
9408cc |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{13} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$2184$ |
$336$ |
$9$ |
$9.791495328$ |
$1$ |
|
$0$ |
$6240$ |
$0.783960$ |
$-1713910976512/1594323$ |
$1.10592$ |
$3.95900$ |
$[0, -1, 0, -3649, -83705]$ |
\(y^2=x^3-x^2-3649x-83705\) |
6.2.0.a.1, 13.28.0.a.2, 78.56.1.?, 91.84.2.?, 546.168.9.?, $\ldots$ |
$[(12042/13, 250333/13)]$ |
| 9408.k2 |
9408cc1 |
9408.k |
9408cc |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$2184$ |
$336$ |
$9$ |
$0.753191948$ |
$1$ |
|
$2$ |
$480$ |
$-0.498514$ |
$-28672/3$ |
$0.91239$ |
$2.01989$ |
$[0, -1, 0, -9, 15]$ |
\(y^2=x^3-x^2-9x+15\) |
6.2.0.a.1, 13.28.0.a.1, 78.56.1.?, 91.84.2.?, 546.168.9.?, $\ldots$ |
$[(2, 1)]$ |
| 9408.l1 |
9408o2 |
9408.l |
9408o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.193748$ |
$109744/9$ |
$0.87899$ |
$4.24329$ |
$[0, -1, 0, -8689, -285935]$ |
\(y^2=x^3-x^2-8689x-285935\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[]$ |
| 9408.l2 |
9408o1 |
9408.l |
9408o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$0.847175$ |
$16384/3$ |
$1.03704$ |
$3.73238$ |
$[0, -1, 0, -1829, 25509]$ |
\(y^2=x^3-x^2-1829x+25509\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
| 9408.m1 |
9408cd5 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.166 |
2B |
$336$ |
$192$ |
$1$ |
$13.74319437$ |
$1$ |
|
$1$ |
$98304$ |
$2.086880$ |
$53297461115137/147$ |
$1.05087$ |
$6.09434$ |
$[0, -1, 0, -2458689, -1483076895]$ |
\(y^2=x^3-x^2-2458689x-1483076895\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0.h.1, 16.48.0-16.e.2.4, $\ldots$ |
$[(1294871/25, 751228456/25)]$ |
| 9408.m2 |
9408cd3 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.131 |
2Cs |
$168$ |
$192$ |
$1$ |
$6.871597187$ |
$1$ |
|
$5$ |
$49152$ |
$1.740307$ |
$13027640977/21609$ |
$1.08149$ |
$5.18535$ |
$[0, -1, 0, -153729, -23115231]$ |
\(y^2=x^3-x^2-153729x-23115231\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.12, 12.24.0.c.1, 24.96.0-24.j.2.13, $\ldots$ |
$[(1703, 68200)]$ |
| 9408.m3 |
9408cd4 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.220 |
2B |
$336$ |
$192$ |
$1$ |
$1.717899296$ |
$1$ |
|
$5$ |
$49152$ |
$1.740307$ |
$6570725617/45927$ |
$1.00160$ |
$5.11055$ |
$[0, -1, 0, -122369, 16417185]$ |
\(y^2=x^3-x^2-122369x+16417185\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.2, 28.12.0.h.1, 48.96.0-48.bf.1.2, $\ldots$ |
$[(187, 196)]$ |
| 9408.m4 |
9408cd6 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{18} \cdot 3 \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.128 |
2B |
$336$ |
$192$ |
$1$ |
$13.74319437$ |
$1$ |
|
$1$ |
$98304$ |
$2.086880$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.29097$ |
$[0, -1, 0, -106689, -37575327]$ |
\(y^2=x^3-x^2-106689x-37575327\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(1631879/31, 2036920600/31)]$ |
| 9408.m5 |
9408cd2 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.84 |
2Cs |
$168$ |
$192$ |
$1$ |
$3.435798593$ |
$1$ |
|
$7$ |
$24576$ |
$1.393734$ |
$7189057/3969$ |
$1.14862$ |
$4.36537$ |
$[0, -1, 0, -12609, -112671]$ |
\(y^2=x^3-x^2-12609x-112671\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.16, 24.96.0-24.w.2.14, 28.24.0.c.1, $\ldots$ |
$[(135, 792)]$ |
| 9408.m6 |
9408cd1 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.186 |
2B |
$336$ |
$192$ |
$1$ |
$1.717899296$ |
$1$ |
|
$5$ |
$12288$ |
$1.047161$ |
$103823/63$ |
$0.97868$ |
$3.90221$ |
$[0, -1, 0, 3071, -15455]$ |
\(y^2=x^3-x^2+3071x-15455\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 14.6.0.b.1, 16.48.0-16.e.1.7, $\ldots$ |
$[(37, 384)]$ |
| 9408.n1 |
9408p3 |
9408.n |
9408p |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.281 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$2.201778$ |
$268498407453697/252$ |
$1.05727$ |
$6.27107$ |
$[0, -1, 0, -4214849, -3329185215]$ |
\(y^2=x^3-x^2-4214849x-3329185215\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.7, 16.96.0-16.z.2.8, 28.12.0.h.1, $\ldots$ |
$[]$ |
| 9408.n2 |
9408p5 |
9408.n |
9408p |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{19} \cdot 3^{4} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.248 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.548351$ |
$84448510979617/933897762$ |
$1.05309$ |
$6.14464$ |
$[0, -1, 0, -2866369, 1850890945]$ |
\(y^2=x^3-x^2-2866369x+1850890945\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 16.96.0-8.p.1.3, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 9408.n3 |
9408p4 |
9408.n |
9408p |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.133 |
2Cs |
$56$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$147456$ |
$2.201778$ |
$124475734657/63011844$ |
$1.06499$ |
$5.43204$ |
$[0, -1, 0, -326209, -25271231]$ |
\(y^2=x^3-x^2-326209x-25271231\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.f.1.8, 28.24.0-4.b.1.2, 56.192.1-56.bp.2.8 |
$[]$ |
| 9408.n4 |
9408p2 |
9408.n |
9408p |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.129 |
2Cs |
$56$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$73728$ |
$1.855204$ |
$65597103937/63504$ |
$1.01692$ |
$5.36203$ |
$[0, -1, 0, -263489, -51927231]$ |
\(y^2=x^3-x^2-263489x-51927231\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.i.1.8, 28.24.0.c.1, 56.192.1-56.by.1.6 |
$[]$ |
| 9408.n5 |
9408p1 |
9408.n |
9408p |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{26} \cdot 3^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.260 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.508631$ |
$-7189057/16128$ |
$0.98224$ |
$4.53855$ |
$[0, -1, 0, -12609, -1199295]$ |
\(y^2=x^3-x^2-12609x-1199295\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.2, 14.6.0.b.1, 16.96.0-16.z.1.4, $\ldots$ |
$[]$ |
| 9408.n6 |
9408p6 |
9408.n |
9408p |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{16} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.306 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$2.548351$ |
$6359387729183/4218578658$ |
$1.08314$ |
$5.86198$ |
$[0, -1, 0, 1210431, -196452927]$ |
\(y^2=x^3-x^2+1210431x-196452927\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.k.1.4, 16.96.0-16.e.1.8, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 9408.o1 |
9408bo1 |
9408.o |
9408bo |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{13} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24960$ |
$1.394657$ |
$2731405432/1594323$ |
$1.19582$ |
$4.36196$ |
$[0, -1, 0, 12479, 45697]$ |
\(y^2=x^3-x^2+12479x+45697\) |
24.2.0.b.1 |
$[]$ |
| 9408.p1 |
9408by1 |
9408.p |
9408by |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{5} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1.212938804$ |
$1$ |
|
$2$ |
$3840$ |
$0.446994$ |
$68782/243$ |
$0.97191$ |
$3.10889$ |
$[0, -1, 0, 159, -1791]$ |
\(y^2=x^3-x^2+159x-1791\) |
24.2.0.b.1 |
$[(13, 48)]$ |
| 9408.q1 |
9408bp2 |
9408.q |
9408bp |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{25} \cdot 3^{7} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$168$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$112896$ |
$2.147152$ |
$-6329617441/279936$ |
$1.03234$ |
$5.53988$ |
$[0, -1, 0, -442241, 117590817]$ |
\(y^2=x^3-x^2-442241x+117590817\) |
7.24.0.a.1, 24.2.0.b.1, 56.48.0-7.a.1.4, 84.48.0.?, 168.96.2.? |
$[]$ |
| 9408.q2 |
9408bp1 |
9408.q |
9408bp |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{19} \cdot 3 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$168$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.174198$ |
$-2401/6$ |
$1.11692$ |
$4.09853$ |
$[0, -1, 0, -3201, -159711]$ |
\(y^2=x^3-x^2-3201x-159711\) |
7.24.0.a.2, 24.2.0.b.1, 56.48.0-7.a.2.4, 84.48.0.?, 168.96.2.? |
$[]$ |
| 9408.r1 |
9408bw4 |
9408.r |
9408bw |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$168$ |
$96$ |
$1$ |
$4.471754542$ |
$1$ |
|
$3$ |
$55296$ |
$1.734337$ |
$2640279346000/3087$ |
$1.02245$ |
$5.46286$ |
$[0, -1, 0, -358353, -82449135]$ |
\(y^2=x^3-x^2-358353x-82449135\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.8, $\ldots$ |
$[(2105, 92120)]$ |
| 9408.r2 |
9408bw3 |
9408.r |
9408bw |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$168$ |
$96$ |
$1$ |
$8.943509084$ |
$1$ |
|
$1$ |
$27648$ |
$1.387764$ |
$-10061824000/352947$ |
$1.07286$ |
$4.55748$ |
$[0, -1, 0, -22213, -1304939]$ |
\(y^2=x^3-x^2-22213x-1304939\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 24.48.0-6.b.1.3, 28.6.0.b.1, $\ldots$ |
$[(13161/5, 1439516/5)]$ |
| 9408.r3 |
9408bw2 |
9408.r |
9408bw |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$168$ |
$96$ |
$1$ |
$1.490584847$ |
$1$ |
|
$7$ |
$18432$ |
$1.185032$ |
$9826000/5103$ |
$0.97243$ |
$4.09649$ |
$[0, -1, 0, -5553, -49167]$ |
\(y^2=x^3-x^2-5553x-49167\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.6, $\ldots$ |
$[(89, 392)]$ |
| 9408.r4 |
9408bw1 |
9408.r |
9408bw |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$168$ |
$96$ |
$1$ |
$2.981169694$ |
$1$ |
|
$5$ |
$9216$ |
$0.838458$ |
$2048000/1323$ |
$1.10843$ |
$3.62205$ |
$[0, -1, 0, 1307, -6635]$ |
\(y^2=x^3-x^2+1307x-6635\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 24.48.0-6.b.1.7, 28.6.0.b.1, $\ldots$ |
$[(9, 76)]$ |
| 9408.s1 |
9408bn1 |
9408.s |
9408bn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.094856$ |
$-3136000/27$ |
$1.00559$ |
$2.94183$ |
$[0, -1, 0, -163, -755]$ |
\(y^2=x^3-x^2-163x-755\) |
6.2.0.a.1 |
$[]$ |
| 9408.t1 |
9408a1 |
9408.t |
9408a |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.523612812$ |
$1$ |
|
$2$ |
$9408$ |
$0.969200$ |
$-448000/2187$ |
$1.01854$ |
$3.82359$ |
$[0, -1, 0, -1143, 46089]$ |
\(y^2=x^3-x^2-1143x+46089\) |
6.2.0.a.1 |
$[(-16, 245)]$ |
| 9408.u1 |
9408e2 |
9408.u |
9408e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$168$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$28672$ |
$1.480221$ |
$665500/81$ |
$0.94923$ |
$4.59180$ |
$[0, -1, 0, -25153, -1356095]$ |
\(y^2=x^3-x^2-25153x-1356095\) |
2.3.0.a.1, 4.12.0.f.1, 24.24.0.dr.1, 28.24.0.i.1, 168.48.1.? |
$[]$ |
| 9408.u2 |
9408e1 |
9408.u |
9408e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$168$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$14336$ |
$1.133648$ |
$2000/9$ |
$0.88823$ |
$4.01468$ |
$[0, -1, 0, 2287, -110319]$ |
\(y^2=x^3-x^2+2287x-110319\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 12.12.0.o.1, 14.6.0.b.1, $\ldots$ |
$[]$ |
