| 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 |
| 2352.a1 |
2352p2 |
2352.a |
2352p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.461117838$ |
$1$ |
|
$3$ |
$2304$ |
$0.648969$ |
$20720464/63$ |
$0.91015$ |
$4.38840$ |
$[0, -1, 0, -1780, -28244]$ |
\(y^2=x^3-x^2-1780x-28244\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(61, 294)]$ |
| 2352.a2 |
2352p1 |
2352.a |
2352p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.922235677$ |
$1$ |
|
$3$ |
$1152$ |
$0.302395$ |
$-16384/147$ |
$1.05520$ |
$3.47232$ |
$[0, -1, 0, -65, -804]$ |
\(y^2=x^3-x^2-65x-804\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(124, 1372)]$ |
| 2352.b1 |
2352q2 |
2352.b |
2352q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.204 |
2B |
$56$ |
$96$ |
$1$ |
$1.547382881$ |
$1$ |
|
$7$ |
$3072$ |
$0.802629$ |
$838561807/26244$ |
$1.03462$ |
$4.47026$ |
$[0, -1, 0, -2200, -37904]$ |
\(y^2=x^3-x^2-2200x-37904\) |
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 |
$[(-30, 14)]$ |
| 2352.b2 |
2352q1 |
2352.b |
2352q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.203 |
2B |
$56$ |
$96$ |
$1$ |
$0.773691440$ |
$1$ |
|
$9$ |
$1536$ |
$0.456055$ |
$4913/1296$ |
$1.13279$ |
$3.70668$ |
$[0, -1, 0, 40, -2064]$ |
\(y^2=x^3-x^2+40x-2064\) |
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, $\ldots$ |
$[(26, 126)]$ |
| 2352.c1 |
2352d4 |
2352.c |
2352d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$1.501144$ |
$7080974546692/189$ |
$1.03534$ |
$6.20833$ |
$[0, -1, 0, -197584, 33870544]$ |
\(y^2=x^3-x^2-197584x+33870544\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 42.6.0.a.1, 56.24.0-56.ba.1.4, $\ldots$ |
$[]$ |
| 2352.c2 |
2352d3 |
2352.c |
2352d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.501144$ |
$6522128932/3720087$ |
$1.09944$ |
$5.30791$ |
$[0, -1, 0, -19224, -116640]$ |
\(y^2=x^3-x^2-19224x-116640\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 28.24.0-28.h.1.1, 168.48.0.? |
$[]$ |
| 2352.c3 |
2352d2 |
2352.c |
2352d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$84$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$1.154570$ |
$6940769488/35721$ |
$0.97939$ |
$5.13734$ |
$[0, -1, 0, -12364, 530944]$ |
\(y^2=x^3-x^2-12364x+530944\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 28.24.0-28.a.1.2, 84.48.0.? |
$[]$ |
| 2352.c4 |
2352d1 |
2352.c |
2352d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.807997$ |
$-2725888/64827$ |
$1.07980$ |
$4.25173$ |
$[0, -1, 0, -359, 17130]$ |
\(y^2=x^3-x^2-359x+17130\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 2352.d1 |
2352j2 |
2352.d |
2352j |
$2$ |
$13$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$1092$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$21840$ |
$2.103489$ |
$-1713910976512/1594323$ |
$1.10592$ |
$6.70569$ |
$[0, -1, 0, -715269, 233262765]$ |
\(y^2=x^3-x^2-715269x+233262765\) |
6.2.0.a.1, 13.28.0.a.2, 52.56.0-13.a.2.1, 78.56.1.?, 91.84.2.?, $\ldots$ |
$[]$ |
| 2352.d2 |
2352j1 |
2352.d |
2352j |
$2$ |
$13$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$1092$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1680$ |
$0.821014$ |
$-28672/3$ |
$0.91239$ |
$4.42030$ |
$[0, -1, 0, -1829, -32115]$ |
\(y^2=x^3-x^2-1829x-32115\) |
6.2.0.a.1, 13.28.0.a.1, 52.56.0-13.a.1.1, 78.56.1.?, 91.84.2.?, $\ldots$ |
$[]$ |
| 2352.e1 |
2352e1 |
2352.e |
2352e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$288$ |
$-0.253301$ |
$-7168/27$ |
$0.94787$ |
$2.61889$ |
$[0, -1, 0, -9, -27]$ |
\(y^2=x^3-x^2-9x-27\) |
6.2.0.a.1 |
$[]$ |
| 2352.f1 |
2352l2 |
2352.f |
2352l |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$168$ |
$96$ |
$2$ |
$1.823361815$ |
$1$ |
|
$4$ |
$2016$ |
$0.827623$ |
$-6329617441/279936$ |
$1.03234$ |
$4.48946$ |
$[0, -1, 0, -2256, -42048]$ |
\(y^2=x^3-x^2-2256x-42048\) |
7.24.0.a.1, 24.2.0.b.1, 28.48.0-7.a.1.1, 168.96.2.? |
$[(56, 64)]$ |
| 2352.f2 |
2352l1 |
2352.f |
2352l |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{13} \cdot 3 \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$168$ |
$96$ |
$2$ |
$0.260480259$ |
$1$ |
|
$6$ |
$288$ |
$-0.145331$ |
$-2401/6$ |
$1.11692$ |
$2.79071$ |
$[0, -1, 0, -16, 64]$ |
\(y^2=x^3-x^2-16x+64\) |
7.24.0.a.2, 24.2.0.b.1, 28.48.0-7.a.2.1, 168.96.2.? |
$[(0, 8)]$ |
| 2352.g1 |
2352a1 |
2352.g |
2352a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.374753810$ |
$1$ |
|
$6$ |
$3360$ |
$1.073376$ |
$68782/243$ |
$0.97191$ |
$4.63232$ |
$[0, -1, 0, 1944, 73872]$ |
\(y^2=x^3-x^2+1944x+73872\) |
24.2.0.b.1 |
$[(-16, 196)]$ |
| 2352.h1 |
2352b2 |
2352.h |
2352b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$168$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3584$ |
$1.133648$ |
$665500/81$ |
$0.94923$ |
$4.87606$ |
$[0, -1, 0, -6288, 172656]$ |
\(y^2=x^3-x^2-6288x+172656\) |
2.3.0.a.1, 4.12.0.f.1, 24.24.0.dr.1, 28.24.0.i.1, 168.48.1.? |
$[]$ |
| 2352.h2 |
2352b1 |
2352.h |
2352b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$168$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1792$ |
$0.787074$ |
$2000/9$ |
$0.88823$ |
$4.19587$ |
$[0, -1, 0, 572, 13504]$ |
\(y^2=x^3-x^2+572x+13504\) |
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, $\ldots$ |
$[]$ |
| 2352.i1 |
2352c5 |
2352.i |
2352c |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.020750$ |
$3065617154/9$ |
$1.21059$ |
$5.29995$ |
$[0, -1, 0, -18832, -988448]$ |
\(y^2=x^3-x^2-18832x-988448\) |
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, $\ldots$ |
$[]$ |
| 2352.i2 |
2352c4 |
2352.i |
2352c |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.674176$ |
$28756228/3$ |
$1.05617$ |
$4.60920$ |
$[0, -1, 0, -3152, 69168]$ |
\(y^2=x^3-x^2-3152x+69168\) |
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, $\ldots$ |
$[]$ |
| 2352.i3 |
2352c3 |
2352.i |
2352c |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.674176$ |
$1556068/81$ |
$1.03212$ |
$4.23348$ |
$[0, -1, 0, -1192, -14720]$ |
\(y^2=x^3-x^2-1192x-14720\) |
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.1.3, $\ldots$ |
$[]$ |
| 2352.i4 |
2352c2 |
2352.i |
2352c |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.327603$ |
$35152/9$ |
$0.97255$ |
$3.56666$ |
$[0, -1, 0, -212, 960]$ |
\(y^2=x^3-x^2-212x+960\) |
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, $\ldots$ |
$[]$ |
| 2352.i5 |
2352c1 |
2352.i |
2352c |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.018971$ |
$2048/3$ |
$1.17572$ |
$2.89820$ |
$[0, -1, 0, 33, 78]$ |
\(y^2=x^3-x^2+33x+78\) |
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, $\ldots$ |
$[]$ |
| 2352.i6 |
2352c6 |
2352.i |
2352c |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.020750$ |
$207646/6561$ |
$1.15980$ |
$4.57621$ |
$[0, -1, 0, 768, -60192]$ |
\(y^2=x^3-x^2+768x-60192\) |
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, $\ldots$ |
$[]$ |
| 2352.j1 |
2352n2 |
2352.j |
2352n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.845330039$ |
$1$ |
|
$3$ |
$2688$ |
$0.847175$ |
$109744/9$ |
$0.87899$ |
$4.46531$ |
$[0, -1, 0, -2172, 36828]$ |
\(y^2=x^3-x^2-2172x+36828\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[(21, 6)]$ |
| 2352.j2 |
2352n1 |
2352.j |
2352n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$5.690660079$ |
$1$ |
|
$3$ |
$1344$ |
$0.500601$ |
$16384/3$ |
$1.03704$ |
$3.86317$ |
$[0, -1, 0, -457, -2960]$ |
\(y^2=x^3-x^2-457x-2960\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[(5472, 404740)]$ |
| 2352.k1 |
2352m1 |
2352.k |
2352m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.739692482$ |
$1$ |
|
$2$ |
$5040$ |
$1.230680$ |
$401408/243$ |
$1.33755$ |
$4.88302$ |
$[0, -1, 0, 6403, -44463]$ |
\(y^2=x^3-x^2+6403x-44463\) |
6.2.0.a.1 |
$[(13, 202)]$ |
| 2352.l1 |
2352o4 |
2352.l |
2352o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.123 |
2B |
$112$ |
$192$ |
$1$ |
$4.621623629$ |
$1$ |
|
$5$ |
$18432$ |
$1.855204$ |
$268498407453697/252$ |
$1.05727$ |
$6.85520$ |
$[0, -1, 0, -1053712, 416675008]$ |
\(y^2=x^3-x^2-1053712x+416675008\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.5, 16.96.0-16.z.2.6, 28.24.0-28.h.1.2, $\ldots$ |
$[(1818, 67130)]$ |
| 2352.l2 |
2352o5 |
2352.l |
2352o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.247 |
2B |
$112$ |
$192$ |
$1$ |
$2.310811814$ |
$1$ |
|
$3$ |
$36864$ |
$2.201778$ |
$84448510979617/933897762$ |
$1.05309$ |
$6.70620$ |
$[0, -1, 0, -716592, -231003072]$ |
\(y^2=x^3-x^2-716592x-231003072\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 16.96.0-8.p.1.4, 28.12.0-4.c.1.2, $\ldots$ |
$[(-464, 1176)]$ |
| 2352.l3 |
2352o3 |
2352.l |
2352o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.128 |
2Cs |
$56$ |
$192$ |
$1$ |
$4.621623629$ |
$1$ |
|
$5$ |
$18432$ |
$1.855204$ |
$124475734657/63011844$ |
$1.06499$ |
$5.86635$ |
$[0, -1, 0, -81552, 3199680]$ |
\(y^2=x^3-x^2-81552x+3199680\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.f.1.6, 28.24.0-4.b.1.3, 56.192.1-56.bp.2.2 |
$[(1722, 70470)]$ |
| 2352.l4 |
2352o2 |
2352.l |
2352o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.24 |
2Cs |
$56$ |
$192$ |
$1$ |
$2.310811814$ |
$1$ |
|
$9$ |
$9216$ |
$1.508631$ |
$65597103937/63504$ |
$1.01692$ |
$5.78383$ |
$[0, -1, 0, -65872, 6523840]$ |
\(y^2=x^3-x^2-65872x+6523840\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.i.1.7, 28.48.0-28.c.1.2, 56.192.1-56.by.1.8 |
$[(154, 90)]$ |
| 2352.l5 |
2352o1 |
2352.l |
2352o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.166 |
2B |
$112$ |
$192$ |
$1$ |
$1.155405907$ |
$1$ |
|
$7$ |
$4608$ |
$1.162056$ |
$-7189057/16128$ |
$0.98224$ |
$4.81330$ |
$[0, -1, 0, -3152, 151488]$ |
\(y^2=x^3-x^2-3152x+151488\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.6, 14.6.0.b.1, 16.96.0-16.z.1.8, $\ldots$ |
$[(26, 294)]$ |
| 2352.l6 |
2352o6 |
2352.l |
2352o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{16} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.305 |
2B |
$112$ |
$192$ |
$1$ |
$9.243247258$ |
$1$ |
|
$1$ |
$36864$ |
$2.201778$ |
$6359387729183/4218578658$ |
$1.08314$ |
$6.37306$ |
$[0, -1, 0, 302608, 24405312]$ |
\(y^2=x^3-x^2+302608x+24405312\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.k.1.4, 16.96.0-16.e.1.3, 28.12.0-4.c.1.2, $\ldots$ |
$[(23434/15, 25489898/15)]$ |
| 2352.m1 |
2352k2 |
2352.m |
2352k |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{27} \cdot 3 \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4320$ |
$1.140066$ |
$-16591834777/98304$ |
$1.06741$ |
$5.10674$ |
$[0, -1, 0, -11384, 473712]$ |
\(y^2=x^3-x^2-11384x+473712\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.d.1.4 |
$[]$ |
| 2352.m2 |
2352k1 |
2352.m |
2352k |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.590760$ |
$596183/864$ |
$1.03569$ |
$3.83974$ |
$[0, -1, 0, 376, 3312]$ |
\(y^2=x^3-x^2+376x+3312\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.d.1.3 |
$[]$ |
| 2352.n1 |
2352x2 |
2352.n |
2352x |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{27} \cdot 3 \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$30240$ |
$2.113022$ |
$-16591834777/98304$ |
$1.06741$ |
$6.61073$ |
$[0, 1, 0, -557832, -161367564]$ |
\(y^2=x^3+x^2-557832x-161367564\) |
3.4.0.a.1, 24.8.0.d.1, 84.8.0.?, 168.16.0.? |
$[]$ |
| 2352.n2 |
2352x1 |
2352.n |
2352x |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10080$ |
$1.563715$ |
$596183/864$ |
$1.03569$ |
$5.34373$ |
$[0, 1, 0, 18408, -1172844]$ |
\(y^2=x^3+x^2+18408x-1172844\) |
3.4.0.a.1, 24.8.0.d.1, 84.8.0.?, 168.16.0.? |
$[]$ |
| 2352.o1 |
2352s1 |
2352.o |
2352s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.098152931$ |
$1$ |
|
$10$ |
$720$ |
$0.257725$ |
$401408/243$ |
$1.33755$ |
$3.37904$ |
$[0, 1, 0, 131, 167]$ |
\(y^2=x^3+x^2+131x+167\) |
6.2.0.a.1 |
$[(23, 126)]$ |
| 2352.p1 |
2352w2 |
2352.p |
2352w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.125780$ |
$109744/9$ |
$0.87899$ |
$2.96132$ |
$[0, 1, 0, -44, -120]$ |
\(y^2=x^3+x^2-44x-120\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[]$ |
| 2352.p2 |
2352w1 |
2352.p |
2352w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$-0.472354$ |
$16384/3$ |
$1.03704$ |
$2.35918$ |
$[0, 1, 0, -9, 6]$ |
\(y^2=x^3+x^2-9x+6\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
| 2352.q1 |
2352i3 |
2352.q |
2352i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1.525670448$ |
$1$ |
|
$11$ |
$3072$ |
$0.979914$ |
$381775972/567$ |
$0.96461$ |
$4.94231$ |
$[0, 1, 0, -7464, 245412]$ |
\(y^2=x^3+x^2-7464x+245412\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 28.24.0-28.h.1.2, 168.48.0.? |
$[(48, 6)]$ |
| 2352.q2 |
2352i2 |
2352.q |
2352i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$84$ |
$48$ |
$0$ |
$3.051340896$ |
$1$ |
|
$7$ |
$1536$ |
$0.633341$ |
$810448/441$ |
$0.95393$ |
$3.97087$ |
$[0, 1, 0, -604, 1196]$ |
\(y^2=x^3+x^2-604x+1196\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 28.24.0-28.a.1.1, 84.48.0.? |
$[(-25, 36)]$ |
| 2352.q3 |
2352i1 |
2352.q |
2352i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{4} \cdot 3 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$6.102681793$ |
$1$ |
|
$1$ |
$768$ |
$0.286767$ |
$2725888/21$ |
$0.93026$ |
$3.76997$ |
$[0, 1, 0, -359, -2724]$ |
\(y^2=x^3+x^2-359x-2724\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 42.6.0.a.1, 56.24.0-56.ba.1.12, $\ldots$ |
$[(3028/3, 166600/3)]$ |
| 2352.q4 |
2352i4 |
2352.q |
2352i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1.525670448$ |
$1$ |
|
$3$ |
$3072$ |
$0.979914$ |
$11696828/7203$ |
$1.01215$ |
$4.49332$ |
$[0, 1, 0, 2336, 11780]$ |
\(y^2=x^3+x^2+2336x+11780\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[(58, 588)]$ |
| 2352.r1 |
2352g2 |
2352.r |
2352g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$168$ |
$48$ |
$1$ |
$0.632952536$ |
$1$ |
|
$7$ |
$512$ |
$0.160692$ |
$665500/81$ |
$0.94923$ |
$3.37208$ |
$[0, 1, 0, -128, -540]$ |
\(y^2=x^3+x^2-128x-540\) |
2.3.0.a.1, 4.12.0.f.1, 24.24.0.dr.1, 28.24.0.i.1, 168.48.1.? |
$[(-8, 6)]$ |
| 2352.r2 |
2352g1 |
2352.r |
2352g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$168$ |
$48$ |
$1$ |
$1.265905072$ |
$1$ |
|
$5$ |
$256$ |
$-0.185881$ |
$2000/9$ |
$0.88823$ |
$2.69189$ |
$[0, 1, 0, 12, -36]$ |
\(y^2=x^3+x^2+12x-36\) |
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, $\ldots$ |
$[(3, 6)]$ |
| 2352.s1 |
2352t4 |
2352.s |
2352t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$84$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$6912$ |
$1.387764$ |
$2640279346000/3087$ |
$1.02245$ |
$5.90267$ |
$[0, 1, 0, -89588, -10350936]$ |
\(y^2=x^3+x^2-89588x-10350936\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.j.1.3, 28.6.0.a.1, $\ldots$ |
$[]$ |
| 2352.s2 |
2352t3 |
2352.s |
2352t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$84$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$3456$ |
$1.041191$ |
$-10061824000/352947$ |
$1.07286$ |
$4.83561$ |
$[0, 1, 0, -5553, -165894]$ |
\(y^2=x^3+x^2-5553x-165894\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 12.48.0-6.b.1.3, 28.6.0.b.1, $\ldots$ |
$[]$ |
| 2352.s3 |
2352t2 |
2352.s |
2352t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$84$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.838458$ |
$9826000/5103$ |
$0.97243$ |
$4.29230$ |
$[0, 1, 0, -1388, -6840]$ |
\(y^2=x^3+x^2-1388x-6840\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.j.1.1, 28.6.0.a.1, $\ldots$ |
$[]$ |
| 2352.s4 |
2352t1 |
2352.s |
2352t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$84$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.491884$ |
$2048000/1323$ |
$1.10843$ |
$3.73314$ |
$[0, 1, 0, 327, -666]$ |
\(y^2=x^3+x^2+327x-666\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 12.48.0-6.b.1.6, 28.6.0.b.1, $\ldots$ |
$[]$ |
| 2352.t1 |
2352r2 |
2352.t |
2352r |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$168$ |
$96$ |
$2$ |
$0.106269197$ |
$1$ |
|
$12$ |
$14112$ |
$1.800579$ |
$-6329617441/279936$ |
$1.03234$ |
$5.99344$ |
$[0, 1, 0, -110560, 14643572]$ |
\(y^2=x^3+x^2-110560x+14643572\) |
7.24.0.a.1, 24.2.0.b.1, 28.48.0-7.a.1.2, 168.96.2.? |
$[(506, 9408)]$ |
| 2352.t2 |
2352r1 |
2352.t |
2352r |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{13} \cdot 3 \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$168$ |
$96$ |
$2$ |
$0.743884380$ |
$1$ |
|
$2$ |
$2016$ |
$0.827623$ |
$-2401/6$ |
$1.11692$ |
$4.29470$ |
$[0, 1, 0, -800, -20364]$ |
\(y^2=x^3+x^2-800x-20364\) |
7.24.0.a.2, 24.2.0.b.1, 28.48.0-7.a.2.2, 168.96.2.? |
$[(114, 1176)]$ |
