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 |
390.f5 |
390b2 |
390.f |
390b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$128$ |
$0.070926$ |
$30400540561/15210000$ |
$0.96238$ |
$4.04578$ |
$[1, 1, 1, -65, 47]$ |
\(y^2+xy+y=x^3+x^2-65x+47\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.h.1.5, 40.48.0-40.l.1.10, 104.48.0.?, $\ldots$ |
$[]$ |
1170.a5 |
1170d2 |
1170.a |
1170d |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$1560$ |
$192$ |
$1$ |
$0.912566913$ |
$1$ |
|
$14$ |
$1024$ |
$0.620233$ |
$30400540561/15210000$ |
$0.96238$ |
$4.34967$ |
$[1, -1, 0, -585, -1859]$ |
\(y^2+xy=x^3-x^2-585x-1859\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0-4.b.1.3, 24.48.0-24.h.1.2, $\ldots$ |
$[(-13, 65)]$ |
1950.k5 |
1950g2 |
1950.k |
1950g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$3072$ |
$0.875645$ |
$30400540561/15210000$ |
$0.96238$ |
$4.46096$ |
$[1, 0, 1, -1626, 9148]$ |
\(y^2+xy+y=x^3-1626x+9148\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 20.24.0-4.b.1.3, 24.48.0-24.h.1.19, $\ldots$ |
$[]$ |
3120.w5 |
3120z2 |
3120.w |
3120z |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.6 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1.150951628$ |
$1$ |
|
$9$ |
$3072$ |
$0.764073$ |
$30400540561/15210000$ |
$0.96238$ |
$4.03395$ |
$[0, 1, 0, -1040, -5100]$ |
\(y^2=x^3+x^2-1040x-5100\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.h.1.1, 40.48.0-40.l.1.2, 104.48.0.?, $\ldots$ |
$[(-20, 90)]$ |
5070.a5 |
5070a2 |
5070.a |
5070a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1.862390713$ |
$1$ |
|
$8$ |
$21504$ |
$1.353401$ |
$30400540561/15210000$ |
$0.96238$ |
$4.63333$ |
$[1, 1, 0, -10988, 158592]$ |
\(y^2+xy=x^3+x^2-10988x+158592\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.2, 24.48.0-24.h.1.31, $\ldots$ |
$[(-4, 452)]$ |
5850.bo5 |
5850bm2 |
5850.bo |
5850bm |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1.546981448$ |
$1$ |
|
$12$ |
$24576$ |
$1.424952$ |
$30400540561/15210000$ |
$0.96238$ |
$4.65588$ |
$[1, -1, 1, -14630, -247003]$ |
\(y^2+xy+y=x^3-x^2-14630x-247003\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.h.1.24, 40.48.0-40.l.1.7, $\ldots$ |
$[(139, 555)]$ |
9360.p5 |
9360bn2 |
9360.p |
9360bn |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.313379$ |
$30400540561/15210000$ |
$0.96238$ |
$4.27016$ |
$[0, 0, 0, -9363, 128338]$ |
\(y^2=x^3-9363x+128338\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.1, 24.48.0-24.h.1.6, $\ldots$ |
$[]$ |
12480.o5 |
12480bl2 |
12480.o |
12480bl |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.110647$ |
$30400540561/15210000$ |
$0.96238$ |
$3.88198$ |
$[0, -1, 0, -4161, -36639]$ |
\(y^2=x^3-x^2-4161x-36639\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 24.48.0-24.h.1.21, 40.48.0-40.l.1.11, $\ldots$ |
$[]$ |
12480.bz5 |
12480u2 |
12480.bz |
12480u |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.110647$ |
$30400540561/15210000$ |
$0.96238$ |
$3.88198$ |
$[0, 1, 0, -4161, 36639]$ |
\(y^2=x^3+x^2-4161x+36639\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.h.1.17, 40.48.0-40.l.1.8, $\ldots$ |
$[]$ |
15210.bq5 |
15210bn2 |
15210.bq |
15210bn |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$172032$ |
$1.902706$ |
$30400540561/15210000$ |
$0.96238$ |
$4.78925$ |
$[1, -1, 1, -98897, -4380879]$ |
\(y^2+xy+y=x^3-x^2-98897x-4380879\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.h.1.28, 40.48.0-40.l.1.16, 104.48.0.?, $\ldots$ |
$[]$ |
15600.n5 |
15600z2 |
15600.n |
15600z |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.568792$ |
$30400540561/15210000$ |
$0.96238$ |
$4.36168$ |
$[0, -1, 0, -26008, -585488]$ |
\(y^2=x^3-x^2-26008x-585488\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 20.24.0-4.b.1.1, 24.48.0-24.h.1.23, $\ldots$ |
$[]$ |
19110.cv5 |
19110cn2 |
19110.cv |
19110cn |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$49152$ |
$1.043880$ |
$30400540561/15210000$ |
$0.96238$ |
$3.63292$ |
$[1, 0, 0, -3186, -25740]$ |
\(y^2+xy=x^3-3186x-25740\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 28.24.0-4.b.1.3, 40.24.0.l.1, $\ldots$ |
$[]$ |
25350.cz5 |
25350cs2 |
25350.cz |
25350cs |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$1560$ |
$192$ |
$1$ |
$4.979496334$ |
$1$ |
|
$4$ |
$516096$ |
$2.158119$ |
$30400540561/15210000$ |
$0.96238$ |
$4.85024$ |
$[1, 0, 0, -274713, 20373417]$ |
\(y^2+xy=x^3-274713x+20373417\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.h.1.9, 40.48.0-40.l.1.19, $\ldots$ |
$[(15692, 1956779)]$ |
37440.eh5 |
37440ey2 |
37440.eh |
37440ey |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.659952$ |
$30400540561/15210000$ |
$0.96238$ |
$4.10295$ |
$[0, 0, 0, -37452, 1026704]$ |
\(y^2=x^3-37452x+1026704\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.h.1.18, 40.48.0-40.l.1.7, $\ldots$ |
$[]$ |
37440.eq5 |
37440cb2 |
37440.eq |
37440cb |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$1560$ |
$192$ |
$1$ |
$2.344469377$ |
$1$ |
|
$9$ |
$196608$ |
$1.659952$ |
$30400540561/15210000$ |
$0.96238$ |
$4.10295$ |
$[0, 0, 0, -37452, -1026704]$ |
\(y^2=x^3-37452x-1026704\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.h.1.22, 40.48.0-40.l.1.5, $\ldots$ |
$[(-88, 1260)]$ |
40560.bx5 |
40560bz2 |
40560.bx |
40560bz |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$1560$ |
$192$ |
$1$ |
$7.055850457$ |
$1$ |
|
$3$ |
$516096$ |
$2.046547$ |
$30400540561/15210000$ |
$0.96238$ |
$4.50921$ |
$[0, 1, 0, -175816, -10501516]$ |
\(y^2=x^3+x^2-175816x-10501516\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0-4.b.1.2, 24.48.0-24.h.1.27, $\ldots$ |
$[(-4255/8, 485199/8)]$ |
46800.de5 |
46800cx2 |
46800.de |
46800cx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$1560$ |
$192$ |
$1$ |
$2.844614051$ |
$1$ |
|
$9$ |
$589824$ |
$2.118099$ |
$30400540561/15210000$ |
$0.96238$ |
$4.52905$ |
$[0, 0, 0, -234075, 16042250]$ |
\(y^2=x^3-234075x+16042250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.h.1.20, 40.48.0-40.l.1.5, $\ldots$ |
$[(-281, 7722)]$ |
47190.n5 |
47190k2 |
47190.n |
47190k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$17160$ |
$192$ |
$1$ |
$0.905342687$ |
$1$ |
|
$14$ |
$163840$ |
$1.269875$ |
$30400540561/15210000$ |
$0.96238$ |
$3.57975$ |
$[1, 1, 0, -7867, -102131]$ |
\(y^2+xy=x^3+x^2-7867x-102131\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 44.24.0-4.b.1.3, $\ldots$ |
$[(-62, 421)]$ |
57330.bu5 |
57330cm2 |
57330.bu |
57330cm |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1.116908265$ |
$1$ |
|
$42$ |
$393216$ |
$1.593187$ |
$30400540561/15210000$ |
$0.96238$ |
$3.87026$ |
$[1, -1, 0, -28674, 694980]$ |
\(y^2+xy=x^3-x^2-28674x+694980\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 56.24.0-4.b.1.2, $\ldots$ |
$[(-89, 1637), (16, 482)]$ |
62400.cm5 |
62400z2 |
62400.cm |
62400z |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{10} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$1560$ |
$192$ |
$1$ |
$7.126585077$ |
$1$ |
|
$19$ |
$589824$ |
$1.915365$ |
$30400540561/15210000$ |
$0.96238$ |
$4.19071$ |
$[0, -1, 0, -104033, 4787937]$ |
\(y^2=x^3-x^2-104033x+4787937\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.h.1.7, 40.48.0-40.l.1.9, $\ldots$ |
$[(41, 768), (-193, 4200)]$ |
62400.fz5 |
62400gy2 |
62400.fz |
62400gy |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$589824$ |
$1.915365$ |
$30400540561/15210000$ |
$0.96238$ |
$4.19071$ |
$[0, 1, 0, -104033, -4787937]$ |
\(y^2=x^3+x^2-104033x-4787937\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.h.1.3, 40.48.0-40.l.1.4, $\ldots$ |
$[]$ |
76050.bs5 |
76050bc2 |
76050.bs |
76050bc |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.16 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$4128768$ |
$2.707424$ |
$30400540561/15210000$ |
$0.96238$ |
$4.96263$ |
$[1, -1, 0, -2472417, -550082259]$ |
\(y^2+xy=x^3-x^2-2472417x-550082259\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.7, 20.24.0-4.b.1.2, 24.48.0-24.h.1.14, $\ldots$ |
$[]$ |
95550.cp5 |
95550bp2 |
95550.cp |
95550bp |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1.719277081$ |
$1$ |
|
$12$ |
$1179648$ |
$1.848600$ |
$30400540561/15210000$ |
$0.96238$ |
$3.96514$ |
$[1, 1, 0, -79650, -3217500]$ |
\(y^2+xy=x^3+x^2-79650x-3217500\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 56.24.0-4.b.1.4, $\ldots$ |
$[(365, 3880)]$ |
112710.cn5 |
112710cr2 |
112710.cn |
112710cr |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$26520$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$589824$ |
$1.487534$ |
$30400540561/15210000$ |
$0.96238$ |
$3.53636$ |
$[1, 0, 0, -18791, 363321]$ |
\(y^2+xy=x^3-18791x+363321\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 68.24.0-4.b.1.3, $\ldots$ |
$[]$ |
121680.eg5 |
121680ep2 |
121680.eg |
121680ep |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4128768$ |
$2.595856$ |
$30400540561/15210000$ |
$0.96238$ |
$4.64909$ |
$[0, 0, 0, -1582347, 281958586]$ |
\(y^2=x^3-1582347x+281958586\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.h.1.32, 40.48.0-40.l.1.16, 104.48.0.?, $\ldots$ |
$[]$ |
140790.be5 |
140790bx2 |
140790.be |
140790bx |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$29640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$884736$ |
$1.543146$ |
$30400540561/15210000$ |
$0.96238$ |
$3.52630$ |
$[1, 0, 1, -23473, -511372]$ |
\(y^2+xy+y=x^3-23473x-511372\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 76.24.0.?, $\ldots$ |
$[]$ |
141570.de5 |
141570bq2 |
141570.de |
141570bq |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$17160$ |
$192$ |
$1$ |
$3.202762595$ |
$1$ |
|
$24$ |
$1310720$ |
$1.819180$ |
$30400540561/15210000$ |
$0.96238$ |
$3.80394$ |
$[1, -1, 1, -70808, 2686731]$ |
\(y^2+xy+y=x^3-x^2-70808x+2686731\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 88.24.0.?, $\ldots$ |
$[(3, 1571), (-49, 2481)]$ |
152880.i5 |
152880ee2 |
152880.i |
152880ee |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1.474615216$ |
$1$ |
|
$13$ |
$1179648$ |
$1.737028$ |
$30400540561/15210000$ |
$0.96238$ |
$3.69686$ |
$[0, -1, 0, -50976, 1647360]$ |
\(y^2=x^3-x^2-50976x+1647360\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 28.24.0-4.b.1.1, 40.24.0.l.1, $\ldots$ |
$[(306, 3822)]$ |
162240.db5 |
162240cq2 |
162240.db |
162240cq |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$1560$ |
$192$ |
$1$ |
$2.724258072$ |
$1$ |
|
$9$ |
$4128768$ |
$2.393120$ |
$30400540561/15210000$ |
$0.96238$ |
$4.33482$ |
$[0, -1, 0, -703265, -83308863]$ |
\(y^2=x^3-x^2-703265x-83308863\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.h.1.15, 40.48.0-40.l.1.14, $\ldots$ |
$[(919, 6760)]$ |
162240.hj5 |
162240fc2 |
162240.hj |
162240fc |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$1560$ |
$192$ |
$1$ |
$7.369744404$ |
$1$ |
|
$5$ |
$4128768$ |
$2.393120$ |
$30400540561/15210000$ |
$0.96238$ |
$4.33482$ |
$[0, 1, 0, -703265, 83308863]$ |
\(y^2=x^3+x^2-703265x+83308863\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.h.1.11, 40.48.0-40.l.1.19, $\ldots$ |
$[(137661, 51075180)]$ |
187200.hh5 |
187200ed2 |
187200.hh |
187200ed |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4718592$ |
$2.464672$ |
$30400540561/15210000$ |
$0.96238$ |
$4.35445$ |
$[0, 0, 0, -936300, 128338000]$ |
\(y^2=x^3-936300x+128338000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.h.1.8, 40.48.0-40.l.1.1, $\ldots$ |
$[]$ |
187200.jc5 |
187200mp2 |
187200.jc |
187200mp |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$1560$ |
$192$ |
$1$ |
$6.015563193$ |
$1$ |
|
$3$ |
$4718592$ |
$2.464672$ |
$30400540561/15210000$ |
$0.96238$ |
$4.35445$ |
$[0, 0, 0, -936300, -128338000]$ |
\(y^2=x^3-936300x-128338000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.h.1.4, 40.48.0-40.l.1.3, $\ldots$ |
$[(-2471/2, 117117/2)]$ |
202800.dm5 |
202800fw2 |
202800.dm |
202800fw |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{10} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$12386304$ |
$2.851269$ |
$30400540561/15210000$ |
$0.96238$ |
$4.70556$ |
$[0, -1, 0, -4395408, -1303898688]$ |
\(y^2=x^3-x^2-4395408x-1303898688\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.h.1.13, 40.48.0-40.l.1.14, $\ldots$ |
$[]$ |
206310.bi5 |
206310bg2 |
206310.bi |
206310bg |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$35880$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$1441792$ |
$1.638674$ |
$30400540561/15210000$ |
$0.96238$ |
$3.50986$ |
$[1, 1, 1, -34396, -917971]$ |
\(y^2+xy+y=x^3+x^2-34396x-917971\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 92.24.0.?, $\ldots$ |
$[]$ |
235950.ia5 |
235950ia2 |
235950.ia |
235950ia |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$17160$ |
$192$ |
$1$ |
$3.609856944$ |
$1$ |
|
$4$ |
$3932160$ |
$2.074593$ |
$30400540561/15210000$ |
$0.96238$ |
$3.89461$ |
$[1, 0, 0, -196688, -12373008]$ |
\(y^2+xy=x^3-196688x-12373008\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 88.24.0.?, $\ldots$ |
$[(-152, 3820)]$ |
248430.ee5 |
248430ee2 |
248430.ee |
248430ee |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$8257536$ |
$2.326355$ |
$30400540561/15210000$ |
$0.96238$ |
$4.12165$ |
$[1, 0, 1, -538438, -56012344]$ |
\(y^2+xy+y=x^3-538438x-56012344\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 56.24.0-4.b.1.7, $\ldots$ |
$[]$ |
286650.kf5 |
286650kf2 |
286650.kf |
286650kf |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$2.122195966$ |
$1$ |
|
$8$ |
$9437184$ |
$2.397907$ |
$30400540561/15210000$ |
$0.96238$ |
$4.14304$ |
$[1, -1, 1, -716855, 86155647]$ |
\(y^2+xy+y=x^3-x^2-716855x+86155647\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 56.24.0-4.b.1.3, $\ldots$ |
$[(2249, 98100)]$ |
327990.r5 |
327990r2 |
327990.r |
327990r |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$45240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$3096576$ |
$1.754574$ |
$30400540561/15210000$ |
$0.96238$ |
$3.49125$ |
$[1, 0, 1, -54683, 1806806]$ |
\(y^2+xy+y=x^3-54683x+1806806\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
338130.bp5 |
338130bp2 |
338130.bp |
338130bp |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$26520$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$4718592$ |
$2.036839$ |
$30400540561/15210000$ |
$0.96238$ |
$3.74896$ |
$[1, -1, 0, -169119, -9809667]$ |
\(y^2+xy=x^3-x^2-169119x-9809667\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
374790.dl5 |
374790dl2 |
374790.dl |
374790dl |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$48360$ |
$192$ |
$1$ |
$3.449540947$ |
$1$ |
|
$6$ |
$3686400$ |
$1.787920$ |
$30400540561/15210000$ |
$0.96238$ |
$3.48615$ |
$[1, 0, 0, -62485, -2217775]$ |
\(y^2+xy=x^3-62485x-2217775\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 104.24.0.?, $\ldots$ |
$[(-220, 1055)]$ |
377520.ha5 |
377520ha2 |
377520.ha |
377520ha |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$17160$ |
$192$ |
$1$ |
$2.497740245$ |
$1$ |
|
$9$ |
$3932160$ |
$1.963020$ |
$30400540561/15210000$ |
$0.96238$ |
$3.64781$ |
$[0, 1, 0, -125880, 6284628]$ |
\(y^2=x^3+x^2-125880x+6284628\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 44.24.0-4.b.1.1, $\ldots$ |
$[(38, 1248)]$ |
422370.dw5 |
422370dw2 |
422370.dw |
422370dw |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$29640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$7077888$ |
$2.092453$ |
$30400540561/15210000$ |
$0.96238$ |
$3.73610$ |
$[1, -1, 1, -211253, 13807037]$ |
\(y^2+xy+y=x^3-x^2-211253x+13807037\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
458640.na5 |
458640na2 |
458640.na |
458640na |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1.576574375$ |
$1$ |
|
$13$ |
$9437184$ |
$2.286335$ |
$30400540561/15210000$ |
$0.96238$ |
$3.89096$ |
$[0, 0, 0, -458787, -44019934]$ |
\(y^2=x^3-458787x-44019934\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 40.24.0.l.1, 56.24.0-4.b.1.7, $\ldots$ |
$[(-553, 6370)]$ |
486720.dv5 |
486720dv2 |
486720.dv |
486720dv |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$33030144$ |
$2.942429$ |
$30400540561/15210000$ |
$0.96238$ |
$4.47451$ |
$[0, 0, 0, -6329388, -2255668688]$ |
\(y^2=x^3-6329388x-2255668688\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.h.1.16, 40.48.0-40.l.1.15, $\ldots$ |
$[]$ |
486720.eu5 |
486720eu2 |
486720.eu |
486720eu |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$1560$ |
$192$ |
$1$ |
$10.12290460$ |
$1$ |
|
$3$ |
$33030144$ |
$2.942429$ |
$30400540561/15210000$ |
$0.96238$ |
$4.47451$ |
$[0, 0, 0, -6329388, 2255668688]$ |
\(y^2=x^3-6329388x+2255668688\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.h.1.12, 40.48.0-40.l.1.15, $\ldots$ |
$[(541069/11, 335047725/11)]$ |