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 |
21.a2 |
21a2 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.34 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.272368$ |
$13027640977/21609$ |
$[1, 0, 0, -49, -136]$ |
\(y^2+xy=x^3-49x-136\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.1.1, 12.48.0-12.c.1.3, 24.96.0-24.j.2.5, $\ldots$ |
63.a2 |
63a4 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.18 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$16$ |
$0.276938$ |
$13027640977/21609$ |
$[1, -1, 0, -441, 3672]$ |
\(y^2+xy=x^3-x^2-441x+3672\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.1.8, 12.48.0-12.c.1.2, 24.96.0-24.j.2.4, $\ldots$ |
147.a2 |
147a4 |
147.a |
147a |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \) |
\( 3^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.109 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$96$ |
$0.700587$ |
$13027640977/21609$ |
$[1, 1, 1, -2402, 44246]$ |
\(y^2+xy+y=x^3+x^2-2402x+44246\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.10, 12.24.0.c.1, 24.96.0-24.j.2.15, $\ldots$ |
336.a2 |
336e4 |
336.a |
336e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.25 |
2Cs |
$168$ |
$192$ |
$1$ |
$1.492598417$ |
$1$ |
|
$19$ |
$128$ |
$0.420779$ |
$13027640977/21609$ |
$[0, -1, 0, -784, 8704]$ |
\(y^2=x^3-x^2-784x+8704\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 12.48.0-12.c.1.1, 24.96.0-24.j.2.3, $\ldots$ |
441.f2 |
441c3 |
441.f |
441c |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.113 |
2Cs |
$168$ |
$192$ |
$1$ |
$5.277017646$ |
$1$ |
|
$2$ |
$768$ |
$1.249893$ |
$13027640977/21609$ |
$[1, -1, 0, -21618, -1216265]$ |
\(y^2+xy=x^3-x^2-21618x-1216265\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.15, 12.24.0.c.1, 24.96.0-24.j.2.10, $\ldots$ |
525.d2 |
525b3 |
525.d |
525b |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$256$ |
$0.532351$ |
$13027640977/21609$ |
$[1, 1, 0, -1225, -17000]$ |
\(y^2+xy=x^3+x^2-1225x-17000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 20.24.0-4.b.1.1, $\ldots$ |
1008.l2 |
1008k3 |
1008.l |
1008k |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.13 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.970085$ |
$13027640977/21609$ |
$[0, 0, 0, -7059, -227950]$ |
\(y^2=x^3-7059x-227950\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.1.16, 12.48.0-12.c.1.4, 24.96.0-24.j.2.6, $\ldots$ |
1344.g2 |
1344a3 |
1344.g |
1344a |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{18} \cdot 3^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.130 |
2Cs |
$168$ |
$192$ |
$1$ |
$3.901921125$ |
$1$ |
|
$7$ |
$1024$ |
$0.767352$ |
$13027640977/21609$ |
$[0, -1, 0, -3137, -66495]$ |
\(y^2=x^3-x^2-3137x-66495\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.11, 12.24.0.c.1, 24.96.0-24.j.2.1, $\ldots$ |
1344.s2 |
1344r4 |
1344.s |
1344r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{18} \cdot 3^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.80 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.767352$ |
$13027640977/21609$ |
$[0, 1, 0, -3137, 66495]$ |
\(y^2=x^3+x^2-3137x+66495\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.3, 12.24.0.c.1, 24.96.0-24.j.2.7, $\ldots$ |
1575.c2 |
1575g4 |
1575.c |
1575g |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$0.472574897$ |
$1$ |
|
$16$ |
$2048$ |
$1.081657$ |
$13027640977/21609$ |
$[1, -1, 1, -11030, 447972]$ |
\(y^2+xy+y=x^3-x^2-11030x+447972\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 20.24.0-4.b.1.2, $\ldots$ |
2352.v2 |
2352v3 |
2352.v |
2352v |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.142 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$6144$ |
$1.393734$ |
$13027640977/21609$ |
$[0, 1, 0, -38432, -2908620]$ |
\(y^2=x^3+x^2-38432x-2908620\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.2, 12.24.0.c.1, 24.96.0-24.j.2.9, $\ldots$ |
2541.j2 |
2541l4 |
2541.j |
2541l |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$2560$ |
$0.926579$ |
$13027640977/21609$ |
$[1, 0, 1, -5932, 175085]$ |
\(y^2+xy+y=x^3-5932x+175085\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
3549.c2 |
3549c3 |
3549.c |
3549c |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2184$ |
$192$ |
$1$ |
$5.342911058$ |
$1$ |
|
$2$ |
$4608$ |
$1.010107$ |
$13027640977/21609$ |
$[1, 0, 1, -8285, -290509]$ |
\(y^2+xy+y=x^3-8285x-290509\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
3675.n2 |
3675j4 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.862964642$ |
$1$ |
|
$2$ |
$12288$ |
$1.505306$ |
$13027640977/21609$ |
$[1, 0, 1, -60051, 5650873]$ |
\(y^2+xy+y=x^3-60051x+5650873\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
4032.h2 |
4032h4 |
4032.h |
4032h |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.129 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$1.316658$ |
$13027640977/21609$ |
$[0, 0, 0, -28236, 1823600]$ |
\(y^2=x^3-28236x+1823600\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.14, 12.24.0.c.1, 24.96.0-24.j.2.8, $\ldots$ |
4032.k2 |
4032bm3 |
4032.k |
4032bm |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.79 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$1.316658$ |
$13027640977/21609$ |
$[0, 0, 0, -28236, -1823600]$ |
\(y^2=x^3-28236x-1823600\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.6, 12.24.0.c.1, 24.96.0-24.j.2.2, $\ldots$ |
6069.b2 |
6069b3 |
6069.b |
6069b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2856$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$9216$ |
$1.144238$ |
$13027640977/21609$ |
$[1, 1, 1, -14167, -654004]$ |
\(y^2+xy+y=x^3+x^2-14167x-654004\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
7056.p2 |
7056bx4 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.100 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.943041$ |
$13027640977/21609$ |
$[0, 0, 0, -345891, 78186850]$ |
\(y^2=x^3-345891x+78186850\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.7, 12.24.0.c.1, 24.96.0-24.j.2.16, $\ldots$ |
7581.d2 |
7581b4 |
7581.d |
7581b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3192$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$13824$ |
$1.199852$ |
$13027640977/21609$ |
$[1, 1, 0, -17696, 897435]$ |
\(y^2+xy=x^3+x^2-17696x+897435\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
7623.g2 |
7623p3 |
7623.g |
7623p |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$20480$ |
$1.475885$ |
$13027640977/21609$ |
$[1, -1, 1, -53384, -4727302]$ |
\(y^2+xy+y=x^3-x^2-53384x-4727302\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
8400.bn2 |
8400cd4 |
8400.bn |
8400cd |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.444790239$ |
$1$ |
|
$9$ |
$16384$ |
$1.225498$ |
$13027640977/21609$ |
$[0, 1, 0, -19608, 1048788]$ |
\(y^2=x^3+x^2-19608x+1048788\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 20.24.0-4.b.1.3, $\ldots$ |
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 |
$168$ |
$192$ |
$1$ |
$6.871597187$ |
$1$ |
|
$5$ |
$49152$ |
$1.740307$ |
$13027640977/21609$ |
$[0, -1, 0, -153729, -23115231]$ |
\(y^2=x^3-x^2-153729x-23115231\) |
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, $\ldots$ |
9408.bv2 |
9408bj4 |
9408.bv |
9408bj |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.81 |
2Cs |
$168$ |
$192$ |
$1$ |
$4.376506535$ |
$1$ |
|
$5$ |
$49152$ |
$1.740307$ |
$13027640977/21609$ |
$[0, 1, 0, -153729, 23115231]$ |
\(y^2=x^3+x^2-153729x+23115231\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.4, 12.24.0.c.1, 24.96.0-24.j.2.11, $\ldots$ |
10647.d2 |
10647f4 |
10647.d |
10647f |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1.097241687$ |
$1$ |
|
$12$ |
$36864$ |
$1.559412$ |
$13027640977/21609$ |
$[1, -1, 1, -74561, 7843736]$ |
\(y^2+xy+y=x^3-x^2-74561x+7843736\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
11025.g2 |
11025ba3 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.601697966$ |
$1$ |
|
$6$ |
$98304$ |
$2.054611$ |
$13027640977/21609$ |
$[1, -1, 1, -540455, -152573578]$ |
\(y^2+xy+y=x^3-x^2-540455x-152573578\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
11109.d2 |
11109i4 |
11109.d |
11109i |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 23^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$25344$ |
$1.295380$ |
$13027640977/21609$ |
$[1, 0, 0, -25932, 1602855]$ |
\(y^2+xy=x^3-25932x+1602855\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
17661.f2 |
17661a3 |
17661.f |
17661a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 29^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$4872$ |
$192$ |
$1$ |
$9.027714301$ |
$1$ |
|
$2$ |
$50176$ |
$1.411280$ |
$13027640977/21609$ |
$[1, 1, 0, -41226, -3234465]$ |
\(y^2+xy=x^3+x^2-41226x-3234465\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
17787.s2 |
17787h3 |
17787.s |
17787h |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{2} \cdot 7^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$1848$ |
$192$ |
$1$ |
$13.11089035$ |
$1$ |
|
$2$ |
$122880$ |
$1.899534$ |
$13027640977/21609$ |
$[1, 1, 0, -290644, -60344885]$ |
\(y^2+xy=x^3+x^2-290644x-60344885\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
18207.e2 |
18207e4 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2856$ |
$192$ |
$1$ |
$2.489546553$ |
$1$ |
|
$4$ |
$73728$ |
$1.693544$ |
$13027640977/21609$ |
$[1, -1, 0, -127503, 17530600]$ |
\(y^2+xy=x^3-x^2-127503x+17530600\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
20181.e2 |
20181d4 |
20181.e |
20181d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 31^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$5208$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$61440$ |
$1.444626$ |
$13027640977/21609$ |
$[1, 1, 1, -47109, 3910266]$ |
\(y^2+xy+y=x^3+x^2-47109x+3910266\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
22743.f2 |
22743n4 |
22743.f |
22743n |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3192$ |
$192$ |
$1$ |
$7.388416230$ |
$1$ |
|
$2$ |
$110592$ |
$1.749157$ |
$13027640977/21609$ |
$[1, -1, 1, -159269, -24390012]$ |
\(y^2+xy+y=x^3-x^2-159269x-24390012\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
24843.p2 |
24843d4 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$221184$ |
$1.983061$ |
$13027640977/21609$ |
$[1, 1, 0, -405941, 99238560]$ |
\(y^2+xy=x^3+x^2-405941x+99238560\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
25200.cr2 |
25200dx4 |
25200.cr |
25200dx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.856034248$ |
$1$ |
|
$9$ |
$131072$ |
$1.774803$ |
$13027640977/21609$ |
$[0, 0, 0, -176475, -28493750]$ |
\(y^2=x^3-176475x-28493750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 20.24.0-4.b.1.2, $\ldots$ |
28224.es2 |
28224fw4 |
28224.es |
28224fw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.76 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$393216$ |
$2.289616$ |
$13027640977/21609$ |
$[0, 0, 0, -1383564, 625494800]$ |
\(y^2=x^3-1383564x+625494800\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.13, 12.24.0.c.1, 24.96.0-24.j.2.12, $\ldots$ |
28224.fk2 |
28224bz4 |
28224.fk |
28224bz |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.126 |
2Cs |
$168$ |
$192$ |
$1$ |
$11.89700132$ |
$1$ |
|
$3$ |
$393216$ |
$2.289616$ |
$13027640977/21609$ |
$[0, 0, 0, -1383564, -625494800]$ |
\(y^2=x^3-1383564x-625494800\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.5, 12.24.0.c.1, 24.96.0-24.j.2.14, $\ldots$ |
28749.h2 |
28749e4 |
28749.h |
28749e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 37^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$6216$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$2$ |
$101376$ |
$1.533091$ |
$13027640977/21609$ |
$[1, 0, 1, -67110, -6687509]$ |
\(y^2+xy+y=x^3-67110x-6687509\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
33327.k2 |
33327m4 |
33327.k |
33327m |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$202752$ |
$1.844685$ |
$13027640977/21609$ |
$[1, -1, 0, -233388, -43277085]$ |
\(y^2+xy=x^3-x^2-233388x-43277085\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
33600.ce2 |
33600em4 |
33600.ce |
33600em |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$131072$ |
$1.572071$ |
$13027640977/21609$ |
$[0, -1, 0, -78433, 8468737]$ |
\(y^2=x^3-x^2-78433x+8468737\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
33600.fm2 |
33600dd4 |
33600.fm |
33600dd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.001937169$ |
$1$ |
|
$9$ |
$131072$ |
$1.572071$ |
$13027640977/21609$ |
$[0, 1, 0, -78433, -8468737]$ |
\(y^2=x^3+x^2-78433x-8468737\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
35301.c2 |
35301e4 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$6888$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$140800$ |
$1.584417$ |
$13027640977/21609$ |
$[1, 1, 1, -82404, -9126084]$ |
\(y^2+xy+y=x^3+x^2-82404x-9126084\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
38829.h2 |
38829f4 |
38829.h |
38829f |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 43^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$7224$ |
$192$ |
$1$ |
$5.671722456$ |
$1$ |
|
$2$ |
$161280$ |
$1.608232$ |
$13027640977/21609$ |
$[1, 1, 0, -90639, 10450440]$ |
\(y^2+xy=x^3+x^2-90639x+10450440\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
40656.l2 |
40656bk4 |
40656.l |
40656bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$1848$ |
$192$ |
$1$ |
$3.896889842$ |
$1$ |
|
$5$ |
$163840$ |
$1.619726$ |
$13027640977/21609$ |
$[0, -1, 0, -94904, -11205456]$ |
\(y^2=x^3-x^2-94904x-11205456\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
42483.d2 |
42483v4 |
42483.d |
42483v |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{2} \cdot 7^{10} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2856$ |
$192$ |
$1$ |
$4.317772745$ |
$1$ |
|
$4$ |
$442368$ |
$2.117195$ |
$13027640977/21609$ |
$[1, 0, 0, -694184, 222240759]$ |
\(y^2+xy=x^3-694184x+222240759\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
46389.d2 |
46389k4 |
46389.d |
46389k |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 47^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$7896$ |
$192$ |
$1$ |
$7.830008456$ |
$1$ |
|
$2$ |
$211968$ |
$1.652706$ |
$13027640977/21609$ |
$[1, 0, 0, -108287, 13686840]$ |
\(y^2+xy=x^3-108287x+13686840\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
52983.e2 |
52983a4 |
52983.e |
52983a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 29^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$401408$ |
$1.960587$ |
$13027640977/21609$ |
$[1, -1, 1, -371039, 86959518]$ |
\(y^2+xy+y=x^3-x^2-371039x+86959518\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
53067.r2 |
53067q4 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{10} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3192$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$2$ |
$663552$ |
$2.172806$ |
$13027640977/21609$ |
$[1, 0, 1, -867130, -310421569]$ |
\(y^2+xy+y=x^3-867130x-310421569\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
53361.p2 |
53361bo4 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 7^{10} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$1848$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$983040$ |
$2.448841$ |
$13027640977/21609$ |
$[1, -1, 1, -2615801, 1626696096]$ |
\(y^2+xy+y=x^3-x^2-2615801x+1626696096\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
56784.bh2 |
56784bk4 |
56784.bh |
56784bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.703253$ |
$13027640977/21609$ |
$[0, -1, 0, -132552, 18592560]$ |
\(y^2=x^3-x^2-132552x+18592560\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
58800.m2 |
58800gb4 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.191325394$ |
$1$ |
|
$9$ |
$786432$ |
$2.198452$ |
$13027640977/21609$ |
$[0, -1, 0, -960808, -361655888]$ |
\(y^2=x^3-x^2-960808x-361655888\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
58989.n2 |
58989a4 |
58989.n |
58989a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 53^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$8904$ |
$192$ |
$1$ |
$24.79815439$ |
$1$ |
|
$2$ |
$299520$ |
$1.712778$ |
$13027640977/21609$ |
$[1, 1, 0, -137699, -19696560]$ |
\(y^2+xy=x^3+x^2-137699x-19696560\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |