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 |
120.b4 |
120a2 |
120.b |
120a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.26 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$16$ |
$-0.213148$ |
$3631696/2025$ |
$1.02576$ |
$4.31340$ |
$[0, 1, 0, -20, 0]$ |
\(y^2=x^3+x^2-20x\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.2.1, 20.48.0-20.c.1.1, 24.96.0-24.p.2.3, $\ldots$ |
$[]$ |
240.c4 |
240a2 |
240.c |
240a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.33 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$-0.213148$ |
$3631696/2025$ |
$1.02576$ |
$3.76788$ |
$[0, -1, 0, -20, 0]$ |
\(y^2=x^3-x^2-20x\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.d.2.2, 20.48.0-20.c.1.2, 24.96.0-24.p.2.4, $\ldots$ |
$[]$ |
360.b4 |
360a2 |
360.b |
360a |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.119 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$0.336158$ |
$3631696/2025$ |
$1.02576$ |
$4.62820$ |
$[0, 0, 0, -183, -182]$ |
\(y^2=x^3-183x-182\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.8, 12.24.0-4.b.1.3, 20.24.0.c.1, $\ldots$ |
$[]$ |
600.c4 |
600a2 |
600.c |
600a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.12 |
2Cs |
$120$ |
$192$ |
$1$ |
$1.601298680$ |
$1$ |
|
$9$ |
$384$ |
$0.591571$ |
$3631696/2025$ |
$1.02576$ |
$4.73774$ |
$[0, -1, 0, -508, 1012]$ |
\(y^2=x^3-x^2-508x+1012\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.2.16, 20.48.0-20.c.1.4, 24.96.0-24.p.2.14, $\ldots$ |
$[(-3, 50)]$ |
720.d4 |
720c2 |
720.d |
720c |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.73 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.336158$ |
$3631696/2025$ |
$1.02576$ |
$4.14060$ |
$[0, 0, 0, -183, 182]$ |
\(y^2=x^3-183x+182\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.7, 12.24.0-4.b.1.1, 20.24.0.c.1, $\ldots$ |
$[]$ |
960.c4 |
960b2 |
960.c |
960b |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.118 |
2Cs |
$120$ |
$192$ |
$1$ |
$1.146228852$ |
$1$ |
|
$11$ |
$256$ |
$0.133425$ |
$3631696/2025$ |
$1.02576$ |
$3.61286$ |
$[0, -1, 0, -81, 81]$ |
\(y^2=x^3-x^2-81x+81\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.6, 20.24.0.c.1, 24.96.0-24.p.2.6, $\ldots$ |
$[(0, 9)]$ |
960.j4 |
960l2 |
960.j |
960l |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.72 |
2Cs |
$120$ |
$192$ |
$1$ |
$0.760464508$ |
$1$ |
|
$13$ |
$256$ |
$0.133425$ |
$3631696/2025$ |
$1.02576$ |
$3.61286$ |
$[0, 1, 0, -81, -81]$ |
\(y^2=x^3+x^2-81x-81\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.5, 20.24.0.c.1, 24.96.0-24.p.2.5, $\ldots$ |
$[(-6, 15)]$ |
1200.o4 |
1200e2 |
1200.o |
1200e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.15 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.591571$ |
$3631696/2025$ |
$1.02576$ |
$4.27457$ |
$[0, 1, 0, -508, -1012]$ |
\(y^2=x^3+x^2-508x-1012\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.2.15, 20.48.0-20.c.1.3, 24.96.0-24.p.2.13, $\ldots$ |
$[]$ |
1800.n4 |
1800r2 |
1800.n |
1800r |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.116 |
2Cs |
$120$ |
$192$ |
$1$ |
$1.178291182$ |
$1$ |
|
$13$ |
$3072$ |
$1.140877$ |
$3631696/2025$ |
$1.02576$ |
$4.92275$ |
$[0, 0, 0, -4575, -22750]$ |
\(y^2=x^3-4575x-22750\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.9, 12.24.0-4.b.1.2, 20.24.0.c.1, $\ldots$ |
$[(85, 450)]$ |
2880.x4 |
2880s2 |
2880.x |
2880s |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.122 |
2Cs |
$120$ |
$192$ |
$1$ |
$1.729421532$ |
$1$ |
|
$9$ |
$2048$ |
$0.682732$ |
$3631696/2025$ |
$1.02576$ |
$3.94210$ |
$[0, 0, 0, -732, -1456]$ |
\(y^2=x^3-732x-1456\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.3, 20.24.0.c.1, 24.96.0-24.p.2.1, $\ldots$ |
$[(-20, 72)]$ |
2880.bb4 |
2880be2 |
2880.bb |
2880be |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.101 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.682732$ |
$3631696/2025$ |
$1.02576$ |
$3.94210$ |
$[0, 0, 0, -732, 1456]$ |
\(y^2=x^3-732x+1456\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.4, 20.24.0.c.1, 24.96.0-24.p.2.2, $\ldots$ |
$[]$ |
3600.t4 |
3600l2 |
3600.t |
3600l |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.70 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.140877$ |
$3631696/2025$ |
$1.02576$ |
$4.50606$ |
$[0, 0, 0, -4575, 22750]$ |
\(y^2=x^3-4575x+22750\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.10, 12.24.0-4.b.1.2, 20.24.0.c.1, $\ldots$ |
$[]$ |
4800.r4 |
4800bi2 |
4800.r |
4800bi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.117 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$0.938145$ |
$3631696/2025$ |
$1.02576$ |
$4.06611$ |
$[0, -1, 0, -2033, -6063]$ |
\(y^2=x^3-x^2-2033x-6063\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.12, 20.24.0.c.1, 24.96.0-24.p.2.12, $\ldots$ |
$[]$ |
4800.cd4 |
4800r2 |
4800.cd |
4800r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.71 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$0.938145$ |
$3631696/2025$ |
$1.02576$ |
$4.06611$ |
$[0, 1, 0, -2033, 6063]$ |
\(y^2=x^3+x^2-2033x+6063\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.11, 20.24.0.c.1, 24.96.0-24.p.2.11, $\ldots$ |
$[]$ |
5880.a4 |
5880u2 |
5880.a |
5880u |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$0.794402268$ |
$1$ |
|
$15$ |
$6144$ |
$0.759807$ |
$3631696/2025$ |
$1.02576$ |
$3.72447$ |
$[0, -1, 0, -996, -1980]$ |
\(y^2=x^3-x^2-996x-1980\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(-16, 98)]$ |
11760.bw4 |
11760x2 |
11760.bw |
11760x |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.382352209$ |
$1$ |
|
$9$ |
$12288$ |
$0.759807$ |
$3631696/2025$ |
$1.02576$ |
$3.44903$ |
$[0, 1, 0, -996, 1980]$ |
\(y^2=x^3+x^2-996x+1980\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(51, 294)]$ |
14400.cm4 |
14400z2 |
14400.cm |
14400z |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.111 |
2Cs |
$120$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.487450$ |
$3631696/2025$ |
$1.02576$ |
$4.28800$ |
$[0, 0, 0, -18300, -182000]$ |
\(y^2=x^3-18300x-182000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.14, 20.24.0.c.1, 24.96.0-24.p.2.16, $\ldots$ |
$[]$ |
14400.db4 |
14400dq2 |
14400.db |
14400dq |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.99 |
2Cs |
$120$ |
$192$ |
$1$ |
$2.837488926$ |
$1$ |
|
$9$ |
$49152$ |
$1.487450$ |
$3631696/2025$ |
$1.02576$ |
$4.28800$ |
$[0, 0, 0, -18300, 182000]$ |
\(y^2=x^3-18300x+182000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.13, 20.24.0.c.1, 24.96.0-24.p.2.15, $\ldots$ |
$[(-115, 875)]$ |
14520.bm4 |
14520v2 |
14520.bm |
14520v |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$20480$ |
$0.985800$ |
$3631696/2025$ |
$1.02576$ |
$3.65613$ |
$[0, 1, 0, -2460, -9792]$ |
\(y^2=x^3+x^2-2460x-9792\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
17640.cp4 |
17640be2 |
17640.cp |
17640be |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.309113$ |
$3631696/2025$ |
$1.02576$ |
$3.98014$ |
$[0, 0, 0, -8967, 62426]$ |
\(y^2=x^3-8967x+62426\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
20280.v4 |
20280k2 |
20280.v |
20280k |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$30720$ |
$1.069326$ |
$3631696/2025$ |
$1.02576$ |
$3.63403$ |
$[0, 1, 0, -3436, 13664]$ |
\(y^2=x^3+x^2-3436x+13664\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
29040.bk4 |
29040o2 |
29040.bk |
29040o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$3.097202169$ |
$1$ |
|
$5$ |
$40960$ |
$0.985800$ |
$3631696/2025$ |
$1.02576$ |
$3.40953$ |
$[0, -1, 0, -2460, 9792]$ |
\(y^2=x^3-x^2-2460x+9792\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(129, 1350)]$ |
29400.ct4 |
29400bt2 |
29400.ct |
29400bt |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.082959651$ |
$1$ |
|
$9$ |
$147456$ |
$1.564526$ |
$3631696/2025$ |
$1.02576$ |
$4.08043$ |
$[0, 1, 0, -24908, -297312]$ |
\(y^2=x^3+x^2-24908x-297312\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(-137, 750)]$ |
34680.f4 |
34680bc2 |
34680.f |
34680bc |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$2040$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.203459$ |
$3631696/2025$ |
$1.02576$ |
$3.60149$ |
$[0, -1, 0, -5876, 35076]$ |
\(y^2=x^3-x^2-5876x+35076\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
35280.di4 |
35280cr2 |
35280.di |
35280cr |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$4.214842243$ |
$1$ |
|
$21$ |
$98304$ |
$1.309113$ |
$3631696/2025$ |
$1.02576$ |
$3.71667$ |
$[0, 0, 0, -8967, -62426]$ |
\(y^2=x^3-8967x-62426\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(-42, 490), (105, 392)]$ |
40560.g4 |
40560a2 |
40560.g |
40560a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$2.376047710$ |
$1$ |
|
$7$ |
$61440$ |
$1.069326$ |
$3631696/2025$ |
$1.02576$ |
$3.39663$ |
$[0, -1, 0, -3436, -13664]$ |
\(y^2=x^3-x^2-3436x-13664\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(-20, 216)]$ |
43320.l4 |
43320i2 |
43320.l |
43320i |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$2280$ |
$192$ |
$1$ |
$3.684947680$ |
$1$ |
|
$5$ |
$110592$ |
$1.259071$ |
$3631696/2025$ |
$1.02576$ |
$3.58896$ |
$[0, -1, 0, -7340, -43788]$ |
\(y^2=x^3-x^2-7340x-43788\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(494, 10800)]$ |
43560.o4 |
43560bt2 |
43560.o |
43560bt |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$2.480275524$ |
$1$ |
|
$31$ |
$163840$ |
$1.535105$ |
$3631696/2025$ |
$1.02576$ |
$3.89720$ |
$[0, 0, 0, -22143, 242242]$ |
\(y^2=x^3-22143x+242242\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(-19, 810), (-33, 968)]$ |
47040.cj4 |
47040fm2 |
47040.cj |
47040fm |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.106380$ |
$3631696/2025$ |
$1.02576$ |
$3.39117$ |
$[0, -1, 0, -3985, 19825]$ |
\(y^2=x^3-x^2-3985x+19825\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
47040.hg4 |
47040dn2 |
47040.hg |
47040dn |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.106380$ |
$3631696/2025$ |
$1.02576$ |
$3.39117$ |
$[0, 1, 0, -3985, -19825]$ |
\(y^2=x^3+x^2-3985x-19825\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
58800.eo4 |
58800bd2 |
58800.eo |
58800bd |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.564526$ |
$3631696/2025$ |
$1.02576$ |
$3.82288$ |
$[0, -1, 0, -24908, 297312]$ |
\(y^2=x^3-x^2-24908x+297312\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
60840.bn4 |
60840bs2 |
60840.bn |
60840bs |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$245760$ |
$1.618633$ |
$3631696/2025$ |
$1.02576$ |
$3.86998$ |
$[0, 0, 0, -30927, -399854]$ |
\(y^2=x^3-30927x-399854\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
63480.n4 |
63480p2 |
63480.n |
63480p |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$2760$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$202752$ |
$1.354599$ |
$3631696/2025$ |
$1.02576$ |
$3.56861$ |
$[0, 1, 0, -10756, -85600]$ |
\(y^2=x^3+x^2-10756x-85600\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
69360.ci4 |
69360x2 |
69360.ci |
69360x |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$2040$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.203459$ |
$3631696/2025$ |
$1.02576$ |
$3.37754$ |
$[0, 1, 0, -5876, -35076]$ |
\(y^2=x^3+x^2-5876x-35076\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
72600.bh4 |
72600cl2 |
72600.bh |
72600cl |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$2.185946291$ |
$1$ |
|
$9$ |
$491520$ |
$1.790518$ |
$3631696/2025$ |
$1.02576$ |
$3.99317$ |
$[0, -1, 0, -61508, -1100988]$ |
\(y^2=x^3-x^2-61508x-1100988\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(482, 9000)]$ |
86640.dt4 |
86640ba2 |
86640.dt |
86640ba |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$2280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.259071$ |
$3631696/2025$ |
$1.02576$ |
$3.37015$ |
$[0, 1, 0, -7340, 43788]$ |
\(y^2=x^3+x^2-7340x+43788\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
87120.bf4 |
87120x2 |
87120.bf |
87120x |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$2.626645776$ |
$1$ |
|
$9$ |
$327680$ |
$1.535105$ |
$3631696/2025$ |
$1.02576$ |
$3.65972$ |
$[0, 0, 0, -22143, -242242]$ |
\(y^2=x^3-22143x-242242\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(-22, 484)]$ |
88200.hq4 |
88200gv2 |
88200.hq |
88200gv |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$2.113831$ |
$3631696/2025$ |
$1.02576$ |
$4.26562$ |
$[0, 0, 0, -224175, 7803250]$ |
\(y^2=x^3-224175x+7803250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
100920.v4 |
100920i2 |
100920.v |
100920i |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 29^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$3480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$401408$ |
$1.470499$ |
$3631696/2025$ |
$1.02576$ |
$3.54573$ |
$[0, -1, 0, -17100, 170100]$ |
\(y^2=x^3-x^2-17100x+170100\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
101400.bc4 |
101400cb2 |
101400.bc |
101400cb |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$737280$ |
$1.874044$ |
$3631696/2025$ |
$1.02576$ |
$3.96438$ |
$[0, -1, 0, -85908, 1879812]$ |
\(y^2=x^3-x^2-85908x+1879812\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
104040.ck4 |
104040x2 |
104040.ck |
104040x |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$2040$ |
$192$ |
$1$ |
$5.438813321$ |
$1$ |
|
$3$ |
$589824$ |
$1.752764$ |
$3631696/2025$ |
$1.02576$ |
$3.82958$ |
$[0, 0, 0, -52887, -894166]$ |
\(y^2=x^3-52887x-894166\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(16507/3, 2103920/3)]$ |
115320.l4 |
115320q2 |
115320.l |
115320q |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$3720$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$460800$ |
$1.503845$ |
$3631696/2025$ |
$1.02576$ |
$3.53948$ |
$[0, -1, 0, -19540, -194300]$ |
\(y^2=x^3-x^2-19540x-194300\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
116160.bk4 |
116160r2 |
116160.bk |
116160r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$327680$ |
$1.332373$ |
$3631696/2025$ |
$1.02576$ |
$3.36085$ |
$[0, -1, 0, -9841, -68495]$ |
\(y^2=x^3-x^2-9841x-68495\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
116160.gh4 |
116160hs2 |
116160.gh |
116160hs |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$327680$ |
$1.332373$ |
$3631696/2025$ |
$1.02576$ |
$3.36085$ |
$[0, 1, 0, -9841, 68495]$ |
\(y^2=x^3+x^2-9841x+68495\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
121680.er4 |
121680bh2 |
121680.er |
121680bh |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1560$ |
$192$ |
$1$ |
$5.167624505$ |
$1$ |
|
$5$ |
$491520$ |
$1.618633$ |
$3631696/2025$ |
$1.02576$ |
$3.64089$ |
$[0, 0, 0, -30927, 399854]$ |
\(y^2=x^3-30927x+399854\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(3085, 171072)]$ |
126960.l4 |
126960b2 |
126960.l |
126960b |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$2760$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$405504$ |
$1.354599$ |
$3631696/2025$ |
$1.02576$ |
$3.35812$ |
$[0, -1, 0, -10756, 85600]$ |
\(y^2=x^3-x^2-10756x+85600\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
129960.ba4 |
129960cg2 |
129960.ba |
129960cg |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$2280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$884736$ |
$1.808378$ |
$3631696/2025$ |
$1.02576$ |
$3.81391$ |
$[0, 0, 0, -66063, 1248338]$ |
\(y^2=x^3-66063x+1248338\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
141120.bm4 |
141120ll2 |
141120.bm |
141120ll |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.768945745$ |
$1$ |
|
$11$ |
$786432$ |
$1.655687$ |
$3631696/2025$ |
$1.02576$ |
$3.63288$ |
$[0, 0, 0, -35868, 499408]$ |
\(y^2=x^3-35868x+499408\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(294, 3920)]$ |
141120.hg4 |
141120ep2 |
141120.hg |
141120ep |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$786432$ |
$1.655687$ |
$3631696/2025$ |
$1.02576$ |
$3.63288$ |
$[0, 0, 0, -35868, -499408]$ |
\(y^2=x^3-35868x-499408\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[]$ |
145200.ip4 |
145200ie2 |
145200.ip |
145200ie |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$3.400582587$ |
$1$ |
|
$7$ |
$983040$ |
$1.790518$ |
$3631696/2025$ |
$1.02576$ |
$3.76030$ |
$[0, 1, 0, -61508, 1100988]$ |
\(y^2=x^3+x^2-61508x+1100988\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 20.24.0.c.1, 24.48.0.p.2, $\ldots$ |
$[(243, 750)]$ |