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 |
24.a3 |
24a2 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.49 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.298779$ |
$1556068/81$ |
$1.03212$ |
$6.66733$ |
$[0, -1, 0, -24, -36]$ |
\(y^2=x^3-x^2-24x-36\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.e.2.2, 24.192.1-24.bl.2.4 |
$[]$ |
48.a3 |
48a3 |
48.a |
48a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.34 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$4$ |
$-0.298779$ |
$1556068/81$ |
$1.03212$ |
$5.47353$ |
$[0, 1, 0, -24, 36]$ |
\(y^2=x^3+x^2-24x+36\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.e.2.1, 24.192.1-24.bl.2.2 |
$[]$ |
72.a3 |
72a4 |
72.a |
72a |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{10} \cdot 3^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.107 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$16$ |
$0.250527$ |
$1556068/81$ |
$1.03212$ |
$6.49591$ |
$[0, 0, 0, -219, 1190]$ |
\(y^2=x^3-219x+1190\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.2.4, 12.24.0-4.b.1.1, 24.192.1-24.bl.2.1 |
$[]$ |
144.b3 |
144b3 |
144.b |
144b |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{10} \cdot 3^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.137 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$0.250527$ |
$1556068/81$ |
$1.03212$ |
$5.58991$ |
$[0, 0, 0, -219, -1190]$ |
\(y^2=x^3-219x-1190\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.2.3, 12.24.0-4.b.1.3, 24.192.1-24.bl.2.3 |
$[]$ |
192.b3 |
192d4 |
192.b |
192d |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \) |
\( 2^{16} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.15 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$0.047795$ |
$1556068/81$ |
$1.03212$ |
$4.82131$ |
$[0, -1, 0, -97, 385]$ |
\(y^2=x^3-x^2-97x+385\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.e.2.6, 24.192.1-24.bl.2.7 |
$[]$ |
192.d3 |
192c3 |
192.d |
192c |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \) |
\( 2^{16} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.9 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$0.047795$ |
$1556068/81$ |
$1.03212$ |
$4.82131$ |
$[0, 1, 0, -97, -385]$ |
\(y^2=x^3+x^2-97x-385\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.e.2.5, 24.192.1-24.bl.2.5 |
$[]$ |
576.b3 |
576i3 |
576.b |
576i |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.135 |
2Cs |
$24$ |
$192$ |
$1$ |
$2.158547729$ |
$1$ |
|
$9$ |
$256$ |
$0.597101$ |
$1556068/81$ |
$1.03212$ |
$5.02504$ |
$[0, 0, 0, -876, -9520]$ |
\(y^2=x^3-876x-9520\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.2.8, 12.24.0-4.b.1.2, 24.192.1-24.bl.2.6 |
$[(-16, 20)]$ |
576.d3 |
576d4 |
576.d |
576d |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.103 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.597101$ |
$1556068/81$ |
$1.03212$ |
$5.02504$ |
$[0, 0, 0, -876, 9520]$ |
\(y^2=x^3-876x+9520\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.2.7, 12.24.0-4.b.1.2, 24.192.1-24.bl.2.8 |
$[]$ |
600.h3 |
600d3 |
600.h |
600d |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.505940$ |
$1556068/81$ |
$1.03212$ |
$4.82197$ |
$[0, 1, 0, -608, -5712]$ |
\(y^2=x^3+x^2-608x-5712\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 20.24.0-4.b.1.1, 24.96.1.bl.2, $\ldots$ |
$[]$ |
1176.i3 |
1176i4 |
1176.i |
1176i |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.674176$ |
$1556068/81$ |
$1.03212$ |
$4.64854$ |
$[0, 1, 0, -1192, 14720]$ |
\(y^2=x^3+x^2-1192x+14720\) |
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.1.1, $\ldots$ |
$[]$ |
1200.d3 |
1200a4 |
1200.d |
1200a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$0.748483442$ |
$1$ |
|
$15$ |
$512$ |
$0.505940$ |
$1556068/81$ |
$1.03212$ |
$4.35056$ |
$[0, -1, 0, -608, 5712]$ |
\(y^2=x^3-x^2-608x+5712\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 20.24.0-4.b.1.3, 24.96.1.bl.2, $\ldots$ |
$[(8, 36)]$ |
1800.m3 |
1800s4 |
1800.m |
1800s |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$1.665930347$ |
$1$ |
|
$9$ |
$2048$ |
$1.055246$ |
$1556068/81$ |
$1.03212$ |
$4.99463$ |
$[0, 0, 0, -5475, 148750]$ |
\(y^2=x^3-5475x+148750\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 40.96.0-8.e.2.4, $\ldots$ |
$[(75, 400)]$ |
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, $\ldots$ |
$[]$ |
2904.c3 |
2904d4 |
2904.c |
2904d |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$264$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2560$ |
$0.900169$ |
$1556068/81$ |
$1.03212$ |
$4.46165$ |
$[0, -1, 0, -2944, 59644]$ |
\(y^2=x^3-x^2-2944x+59644\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 44.24.0-4.b.1.1, $\ldots$ |
$[]$ |
3528.d3 |
3528l3 |
3528.d |
3528l |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$3.275508622$ |
$1$ |
|
$7$ |
$6144$ |
$1.223482$ |
$1556068/81$ |
$1.03212$ |
$4.83030$ |
$[0, 0, 0, -10731, -408170]$ |
\(y^2=x^3-10731x-408170\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 56.96.0-8.e.2.3, $\ldots$ |
$[(126, 490)]$ |
3600.v3 |
3600k3 |
3600.v |
3600k |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$1.055246$ |
$1556068/81$ |
$1.03212$ |
$4.57185$ |
$[0, 0, 0, -5475, -148750]$ |
\(y^2=x^3-5475x-148750\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 40.96.0-8.e.2.3, $\ldots$ |
$[]$ |
4056.i3 |
4056a3 |
4056.i |
4056a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$312$ |
$192$ |
$1$ |
$5.725123114$ |
$1$ |
|
$5$ |
$4608$ |
$0.983696$ |
$1556068/81$ |
$1.03212$ |
$4.40287$ |
$[0, -1, 0, -4112, -95460]$ |
\(y^2=x^3-x^2-4112x-95460\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 52.24.0-4.b.1.1, $\ldots$ |
$[(33770, 6205680)]$ |
4800.q3 |
4800c3 |
4800.q |
4800c |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$2.249823046$ |
$1$ |
|
$9$ |
$4096$ |
$0.852514$ |
$1556068/81$ |
$1.03212$ |
$4.12967$ |
$[0, -1, 0, -2433, -43263]$ |
\(y^2=x^3-x^2-2433x-43263\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 20.24.0-4.b.1.2, 24.96.1.bl.2, $\ldots$ |
$[(-24, 27)]$ |
4800.cc3 |
4800cb4 |
4800.cc |
4800cb |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$1.068541721$ |
$1$ |
|
$11$ |
$4096$ |
$0.852514$ |
$1556068/81$ |
$1.03212$ |
$4.12967$ |
$[0, 1, 0, -2433, 43263]$ |
\(y^2=x^3+x^2-2433x+43263\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 20.24.0-4.b.1.2, 24.96.1.bl.2, $\ldots$ |
$[(39, 96)]$ |
5808.s3 |
5808o3 |
5808.s |
5808o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$264$ |
$192$ |
$1$ |
$1.617274427$ |
$1$ |
|
$9$ |
$5120$ |
$0.900169$ |
$1556068/81$ |
$1.03212$ |
$4.10483$ |
$[0, 1, 0, -2944, -59644]$ |
\(y^2=x^3+x^2-2944x-59644\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 44.24.0-4.b.1.3, $\ldots$ |
$[(-34, 48)]$ |
6936.p3 |
6936m3 |
6936.p |
6936m |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$408$ |
$192$ |
$1$ |
$5.080054440$ |
$1$ |
|
$3$ |
$10240$ |
$1.117828$ |
$1556068/81$ |
$1.03212$ |
$4.31777$ |
$[0, 1, 0, -7032, -218880]$ |
\(y^2=x^3+x^2-7032x-218880\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 68.24.0-4.b.1.1, $\ldots$ |
$[(-488/3, 2080/3)]$ |
7056.q3 |
7056z4 |
7056.q |
7056z |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$1.290579554$ |
$1$ |
|
$13$ |
$12288$ |
$1.223482$ |
$1556068/81$ |
$1.03212$ |
$4.45248$ |
$[0, 0, 0, -10731, 408170]$ |
\(y^2=x^3-10731x+408170\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 56.96.0-8.e.2.4, $\ldots$ |
$[(77, 196)]$ |
8112.be3 |
8112k4 |
8112.be |
8112k |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$312$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$0.983696$ |
$1556068/81$ |
$1.03212$ |
$4.06382$ |
$[0, 1, 0, -4112, 95460]$ |
\(y^2=x^3+x^2-4112x+95460\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 52.24.0-4.b.1.3, $\ldots$ |
$[]$ |
8664.j3 |
8664g4 |
8664.j |
8664g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$456$ |
$192$ |
$1$ |
$3.125190167$ |
$1$ |
|
$7$ |
$13824$ |
$1.173441$ |
$1556068/81$ |
$1.03212$ |
$4.28544$ |
$[0, 1, 0, -8784, 299376]$ |
\(y^2=x^3+x^2-8784x+299376\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 76.24.0.?, $\ldots$ |
$[(-84, 672)]$ |
8712.u3 |
8712y3 |
8712.u |
8712y |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$264$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$20480$ |
$1.449474$ |
$1556068/81$ |
$1.03212$ |
$4.64794$ |
$[0, 0, 0, -26499, -1583890]$ |
\(y^2=x^3-26499x-1583890\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 88.96.0.?, $\ldots$ |
$[]$ |
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.cc3 |
9408cz3 |
9408.cc |
9408cz |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.020750$ |
$1556068/81$ |
$1.03212$ |
$4.04659$ |
$[0, 1, 0, -4769, -122529]$ |
\(y^2=x^3+x^2-4769x-122529\) |
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, $\ldots$ |
$[]$ |
12168.j3 |
12168q4 |
12168.j |
12168q |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$312$ |
$192$ |
$1$ |
$3.949168092$ |
$1$ |
|
$5$ |
$36864$ |
$1.533003$ |
$1556068/81$ |
$1.03212$ |
$4.58940$ |
$[0, 0, 0, -37011, 2614430]$ |
\(y^2=x^3-37011x+2614430\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 104.96.0.?, $\ldots$ |
$[(454, 8910)]$ |
12696.k3 |
12696j4 |
12696.k |
12696j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$552$ |
$192$ |
$1$ |
$6.070300564$ |
$1$ |
|
$3$ |
$22528$ |
$1.268969$ |
$1556068/81$ |
$1.03212$ |
$4.23346$ |
$[0, -1, 0, -12872, 540540]$ |
\(y^2=x^3-x^2-12872x+540540\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 92.24.0.?, $\ldots$ |
$[(3998/7, 56160/7)]$ |
13872.p3 |
13872b4 |
13872.p |
13872b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$408$ |
$192$ |
$1$ |
$2.984607485$ |
$1$ |
|
$7$ |
$20480$ |
$1.117828$ |
$1556068/81$ |
$1.03212$ |
$4.00398$ |
$[0, -1, 0, -7032, 218880]$ |
\(y^2=x^3-x^2-7032x+218880\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 68.24.0-4.b.1.3, $\ldots$ |
$[(32, 160)]$ |
14400.ck3 |
14400ds3 |
14400.ck |
14400ds |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$2.841664688$ |
$1$ |
|
$9$ |
$32768$ |
$1.401819$ |
$1556068/81$ |
$1.03212$ |
$4.34427$ |
$[0, 0, 0, -21900, -1190000]$ |
\(y^2=x^3-21900x-1190000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 40.96.0-8.e.2.8, $\ldots$ |
$[(-75, 175)]$ |
14400.cy3 |
14400x4 |
14400.cy |
14400x |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$32768$ |
$1.401819$ |
$1556068/81$ |
$1.03212$ |
$4.34427$ |
$[0, 0, 0, -21900, 1190000]$ |
\(y^2=x^3-21900x+1190000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 40.96.0-8.e.2.7, $\ldots$ |
$[]$ |
17328.d3 |
17328f3 |
17328.d |
17328f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$456$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$27648$ |
$1.173441$ |
$1556068/81$ |
$1.03212$ |
$3.98109$ |
$[0, -1, 0, -8784, -299376]$ |
\(y^2=x^3-x^2-8784x-299376\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 76.24.0.?, $\ldots$ |
$[]$ |
17424.bu3 |
17424t4 |
17424.bu |
17424t |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$264$ |
$192$ |
$1$ |
$2.495686763$ |
$1$ |
|
$9$ |
$40960$ |
$1.449474$ |
$1556068/81$ |
$1.03212$ |
$4.31803$ |
$[0, 0, 0, -26499, 1583890]$ |
\(y^2=x^3-26499x+1583890\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 88.96.0.?, $\ldots$ |
$[(113, 180)]$ |
20184.i3 |
20184f3 |
20184.i |
20184f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 29^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$48384$ |
$1.384869$ |
$1556068/81$ |
$1.03212$ |
$4.17577$ |
$[0, 1, 0, -20464, -1081744]$ |
\(y^2=x^3+x^2-20464x-1081744\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 116.24.0.?, $\ldots$ |
$[]$ |
20808.i3 |
20808l4 |
20808.i |
20808l |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$408$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$81920$ |
$1.667133$ |
$1556068/81$ |
$1.03212$ |
$4.50364$ |
$[0, 0, 0, -63291, 5846470]$ |
\(y^2=x^3-63291x+5846470\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 136.96.0.?, $\ldots$ |
$[]$ |
23064.i3 |
23064m3 |
23064.i |
23064m |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 31^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$57600$ |
$1.418215$ |
$1556068/81$ |
$1.03212$ |
$4.16016$ |
$[0, 1, 0, -23384, 1305216]$ |
\(y^2=x^3+x^2-23384x+1305216\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 124.24.0.?, $\ldots$ |
$[]$ |
23232.bo3 |
23232cz3 |
23232.bo |
23232cz |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$264$ |
$192$ |
$1$ |
$5.664639104$ |
$1$ |
|
$3$ |
$40960$ |
$1.246742$ |
$1556068/81$ |
$1.03212$ |
$3.95248$ |
$[0, -1, 0, -11777, -465375]$ |
\(y^2=x^3-x^2-11777x-465375\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 44.24.0-4.b.1.2, $\ldots$ |
$[(-557/3, 4060/3)]$ |
23232.do3 |
23232bw3 |
23232.do |
23232bw |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$264$ |
$192$ |
$1$ |
$2.502171706$ |
$1$ |
|
$7$ |
$40960$ |
$1.246742$ |
$1556068/81$ |
$1.03212$ |
$3.95248$ |
$[0, 1, 0, -11777, 465375]$ |
\(y^2=x^3+x^2-11777x+465375\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 44.24.0-4.b.1.2, $\ldots$ |
$[(-77, 960)]$ |
24336.o3 |
24336i3 |
24336.o |
24336i |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$312$ |
$192$ |
$1$ |
$5.094658422$ |
$1$ |
|
$21$ |
$73728$ |
$1.533003$ |
$1556068/81$ |
$1.03212$ |
$4.27443$ |
$[0, 0, 0, -37011, -2614430]$ |
\(y^2=x^3-37011x-2614430\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 104.96.0.?, $\ldots$ |
$[(-117, 338), (233, 1188)]$ |
25392.be3 |
25392g3 |
25392.be |
25392g |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$552$ |
$192$ |
$1$ |
$4.341410946$ |
$1$ |
|
$5$ |
$45056$ |
$1.268969$ |
$1556068/81$ |
$1.03212$ |
$3.94413$ |
$[0, 1, 0, -12872, -540540]$ |
\(y^2=x^3+x^2-12872x-540540\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 92.24.0.?, $\ldots$ |
$[(430, 8580)]$ |
25992.w3 |
25992bc3 |
25992.w |
25992bc |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$456$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$110592$ |
$1.722748$ |
$1556068/81$ |
$1.03212$ |
$4.47073$ |
$[0, 0, 0, -79059, -8162210]$ |
\(y^2=x^3-79059x-8162210\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 152.96.0.?, $\ldots$ |
$[]$ |
28224.et3 |
28224fv3 |
28224.et |
28224fv |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.570057$ |
$1556068/81$ |
$1.03212$ |
$4.25600$ |
$[0, 0, 0, -42924, 3265360]$ |
\(y^2=x^3-42924x+3265360\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 56.96.0-8.e.2.7, $\ldots$ |
$[]$ |
28224.fl3 |
28224by3 |
28224.fl |
28224by |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$168$ |
$192$ |
$1$ |
$5.147161621$ |
$1$ |
|
$5$ |
$98304$ |
$1.570057$ |
$1556068/81$ |
$1.03212$ |
$4.25600$ |
$[0, 0, 0, -42924, -3265360]$ |
\(y^2=x^3-42924x-3265360\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 56.96.0-8.e.2.8, $\ldots$ |
$[(1085, 35035)]$ |
29400.ce3 |
29400n3 |
29400.ce |
29400n |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.478895$ |
$1556068/81$ |
$1.03212$ |
$4.13279$ |
$[0, -1, 0, -29808, 1899612]$ |
\(y^2=x^3-x^2-29808x+1899612\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 140.24.0.?, $\ldots$ |
$[]$ |
32448.n3 |
32448ci3 |
32448.n |
32448ci |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$312$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.330269$ |
$1556068/81$ |
$1.03212$ |
$3.92184$ |
$[0, -1, 0, -16449, 780129]$ |
\(y^2=x^3-x^2-16449x+780129\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 52.24.0-4.b.1.2, $\ldots$ |
$[]$ |
32448.ch3 |
32448bh3 |
32448.ch |
32448bh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$312$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.330269$ |
$1556068/81$ |
$1.03212$ |
$3.92184$ |
$[0, 1, 0, -16449, -780129]$ |
\(y^2=x^3+x^2-16449x-780129\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 52.24.0-4.b.1.2, $\ldots$ |
$[]$ |
32856.g3 |
32856c3 |
32856.g |
32856c |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 37^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$888$ |
$192$ |
$1$ |
$17.60419173$ |
$1$ |
|
$3$ |
$101376$ |
$1.506680$ |
$1556068/81$ |
$1.03212$ |
$4.12068$ |
$[0, -1, 0, -33312, -2221380]$ |
\(y^2=x^3-x^2-33312x-2221380\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 148.24.0.?, $\ldots$ |
$[(-132897111/1105, 433261150938/1105)]$ |
38088.g3 |
38088i3 |
38088.g |
38088i |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 23^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$552$ |
$192$ |
$1$ |
$10.08008802$ |
$1$ |
|
$3$ |
$180224$ |
$1.818275$ |
$1556068/81$ |
$1.03212$ |
$4.41745$ |
$[0, 0, 0, -115851, -14478730]$ |
\(y^2=x^3-115851x-14478730\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 184.96.0.?, $\ldots$ |
$[(191194/11, 81481140/11)]$ |
40344.c3 |
40344g3 |
40344.c |
40344g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 41^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$984$ |
$192$ |
$1$ |
$8.164855646$ |
$1$ |
|
$3$ |
$138240$ |
$1.558008$ |
$1556068/81$ |
$1.03212$ |
$4.09899$ |
$[0, 1, 0, -40904, -3051264]$ |
\(y^2=x^3+x^2-40904x-3051264\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 164.24.0.?, $\ldots$ |
$[(-10976/9, 107360/9)]$ |