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 |
663.a4 |
663b1 |
663.a |
663b |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17 \) |
\( 3^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.31 |
2B |
$3536$ |
$192$ |
$1$ |
$1.487906035$ |
$1$ |
|
$7$ |
$128$ |
$0.115435$ |
$17319700013617/25857$ |
$0.93528$ |
$4.69200$ |
$[1, 1, 1, -539, 4592]$ |
\(y^2+xy+y=x^3+x^2-539x+4592\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.f.1.4, 34.6.0.a.1, $\ldots$ |
$[(9, 19)]$ |
1989.e4 |
1989e1 |
1989.e |
1989e |
$6$ |
$8$ |
\( 3^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$6.767931338$ |
$1$ |
|
$1$ |
$1024$ |
$0.664742$ |
$17319700013617/25857$ |
$0.93528$ |
$4.88119$ |
$[1, -1, 0, -4851, -128840]$ |
\(y^2+xy=x^3-x^2-4851x-128840\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.f.1, $\ldots$ |
$[(2136/5, 28876/5)]$ |
8619.i4 |
8619b1 |
8619.i |
8619b |
$6$ |
$8$ |
\( 3 \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.88 |
2B |
$3536$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.397909$ |
$17319700013617/25857$ |
$0.93528$ |
$5.06223$ |
$[1, 1, 0, -91094, 10544487]$ |
\(y^2+xy=x^3+x^2-91094x+10544487\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.f.1.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
10608.p4 |
10608ba1 |
10608.p |
10608ba |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.45 |
2B |
$3536$ |
$192$ |
$1$ |
$2.326907997$ |
$1$ |
|
$3$ |
$8192$ |
$0.808582$ |
$17319700013617/25857$ |
$0.93528$ |
$4.18590$ |
$[0, 1, 0, -8624, -311148]$ |
\(y^2=x^3+x^2-8624x-311148\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.f.1.3, 34.6.0.a.1, $\ldots$ |
$[(202, 2496)]$ |
11271.e4 |
11271h1 |
11271.e |
11271h |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17^{2} \) |
\( 3^{2} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.35 |
2B |
$3536$ |
$192$ |
$1$ |
$4.904047116$ |
$1$ |
|
$3$ |
$36864$ |
$1.532042$ |
$17319700013617/25857$ |
$0.93528$ |
$5.08920$ |
$[1, 0, 0, -155777, 23651808]$ |
\(y^2+xy=x^3-155777x+23651808\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 16.48.0-16.f.1.13, 34.6.0.a.1, $\ldots$ |
$[(9277/3, 822017/3)]$ |
16575.i4 |
16575f1 |
16575.i |
16575f |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$17680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.920155$ |
$17319700013617/25857$ |
$0.93528$ |
$4.13143$ |
$[1, 0, 1, -13476, 600973]$ |
\(y^2+xy+y=x^3-13476x+600973\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
25857.f4 |
25857h1 |
25857.f |
25857h |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$172032$ |
$1.947216$ |
$17319700013617/25857$ |
$0.93528$ |
$5.16363$ |
$[1, -1, 1, -819851, -285520998]$ |
\(y^2+xy+y=x^3-x^2-819851x-285520998\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
31824.bg4 |
31824bk1 |
31824.bg |
31824bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{8} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.357889$ |
$17319700013617/25857$ |
$0.93528$ |
$4.37813$ |
$[0, 0, 0, -77619, 8323378]$ |
\(y^2=x^3-77619x+8323378\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.f.1, $\ldots$ |
$[]$ |
32487.f4 |
32487l1 |
32487.f |
32487l |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$24752$ |
$192$ |
$1$ |
$7.285358969$ |
$1$ |
|
$1$ |
$49152$ |
$1.088390$ |
$17319700013617/25857$ |
$0.93528$ |
$4.05814$ |
$[1, 0, 0, -26412, -1654353]$ |
\(y^2+xy=x^3-26412x-1654353\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(15339/5, 1786878/5)]$ |
33813.i4 |
33813n1 |
33813.i |
33813n |
$6$ |
$8$ |
\( 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 3^{8} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$20.19760679$ |
$1$ |
|
$1$ |
$294912$ |
$2.081348$ |
$17319700013617/25857$ |
$0.93528$ |
$5.18515$ |
$[1, -1, 0, -1401993, -638598816]$ |
\(y^2+xy=x^3-x^2-1401993x-638598816\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.f.1, $\ldots$ |
$[(2124780340/99, 97835661555578/99)]$ |
42432.bb4 |
42432bl1 |
42432.bb |
42432bl |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.184 |
2B |
$3536$ |
$192$ |
$1$ |
$4.439113605$ |
$1$ |
|
$3$ |
$65536$ |
$1.155155$ |
$17319700013617/25857$ |
$0.93528$ |
$4.03162$ |
$[0, -1, 0, -34497, -2454687]$ |
\(y^2=x^3-x^2-34497x-2454687\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 16.48.0-16.f.1.12, 34.6.0.a.1, $\ldots$ |
$[(951, 28704)]$ |
42432.cf4 |
42432s1 |
42432.cf |
42432s |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.197 |
2B |
$3536$ |
$192$ |
$1$ |
$1.796603525$ |
$1$ |
|
$3$ |
$65536$ |
$1.155155$ |
$17319700013617/25857$ |
$0.93528$ |
$4.03162$ |
$[0, 1, 0, -34497, 2454687]$ |
\(y^2=x^3+x^2-34497x+2454687\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.f.1.11, 34.6.0.a.1, $\ldots$ |
$[(89, 312)]$ |
49725.f4 |
49725i1 |
49725.f |
49725i |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$53040$ |
$192$ |
$1$ |
$5.501105976$ |
$1$ |
|
$3$ |
$131072$ |
$1.469460$ |
$17319700013617/25857$ |
$0.93528$ |
$4.32125$ |
$[1, -1, 1, -121280, -16226278]$ |
\(y^2+xy+y=x^3-x^2-121280x-16226278\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[(1024, 30025)]$ |
80223.j4 |
80223c1 |
80223.j |
80223c |
$6$ |
$8$ |
\( 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 3^{2} \cdot 11^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$38896$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$1.314383$ |
$17319700013617/25857$ |
$0.93528$ |
$3.97343$ |
$[1, 1, 0, -65221, -6438296]$ |
\(y^2+xy=x^3+x^2-65221x-6438296\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
97461.q4 |
97461m1 |
97461.q |
97461m |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 7^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$74256$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.637697$ |
$17319700013617/25857$ |
$0.93528$ |
$4.24385$ |
$[1, -1, 0, -237708, 44667531]$ |
\(y^2+xy=x^3-x^2-237708x+44667531\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
127296.u4 |
127296cg1 |
127296.u |
127296cg |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$1.491343459$ |
$1$ |
|
$5$ |
$524288$ |
$1.704462$ |
$17319700013617/25857$ |
$0.93528$ |
$4.21559$ |
$[0, 0, 0, -310476, 66587024]$ |
\(y^2=x^3-310476x+66587024\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0-8.n.1.11, $\ldots$ |
$[(320, 52)]$ |
127296.bb4 |
127296h1 |
127296.bb |
127296h |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$524288$ |
$1.704462$ |
$17319700013617/25857$ |
$0.93528$ |
$4.21559$ |
$[0, 0, 0, -310476, -66587024]$ |
\(y^2=x^3-310476x-66587024\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0-8.n.1.9, $\ldots$ |
$[]$ |
137904.cv4 |
137904p1 |
137904.cv |
137904p |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{2} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.160 |
2B |
$3536$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1376256$ |
$2.091057$ |
$17319700013617/25857$ |
$0.93528$ |
$4.57909$ |
$[0, 1, 0, -1457512, -677762188]$ |
\(y^2=x^3+x^2-1457512x-677762188\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 16.48.0-16.f.1.2, 34.6.0.a.1, $\ldots$ |
$[]$ |
146523.y4 |
146523s1 |
146523.y |
146523s |
$6$ |
$8$ |
\( 3 \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{2} \cdot 13^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.93 |
2B |
$3536$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6193152$ |
$2.814518$ |
$17319700013617/25857$ |
$0.93528$ |
$5.28560$ |
$[1, 0, 1, -26326317, 51989348491]$ |
\(y^2+xy+y=x^3-26326317x+51989348491\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.f.1.16, 34.6.0.a.1, $\ldots$ |
$[]$ |
180336.bg4 |
180336bp1 |
180336.bg |
180336bp |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.53 |
2B |
$3536$ |
$192$ |
$1$ |
$4.287519403$ |
$1$ |
|
$3$ |
$2359296$ |
$2.225189$ |
$17319700013617/25857$ |
$0.93528$ |
$4.61058$ |
$[0, -1, 0, -2492432, -1513715712]$ |
\(y^2=x^3-x^2-2492432x-1513715712\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 16.48.0-16.f.1.14, 34.6.0.a.1, $\ldots$ |
$[(16496, 2108544)]$ |
215475.t4 |
215475p1 |
215475.t |
215475p |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 5^{6} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$17680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2752512$ |
$2.202629$ |
$17319700013617/25857$ |
$0.93528$ |
$4.52170$ |
$[1, 0, 0, -2277363, 1322615592]$ |
\(y^2+xy=x^3-2277363x+1322615592\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
239343.f4 |
239343f1 |
239343.f |
239343f |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17 \cdot 19^{2} \) |
\( 3^{2} \cdot 13^{2} \cdot 17 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$67184$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$884736$ |
$1.587654$ |
$17319700013617/25857$ |
$0.93528$ |
$3.88752$ |
$[1, 0, 1, -194587, -33054439]$ |
\(y^2+xy+y=x^3-194587x-33054439\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
240669.p4 |
240669p1 |
240669.p |
240669p |
$6$ |
$8$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 11^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$116688$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1310720$ |
$1.863689$ |
$17319700013617/25857$ |
$0.93528$ |
$4.15311$ |
$[1, -1, 1, -586994, 173247000]$ |
\(y^2+xy+y=x^3-x^2-586994x+173247000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
265200.bo4 |
265200bo1 |
265200.bo |
265200bo |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$17680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1048576$ |
$1.613302$ |
$17319700013617/25857$ |
$0.93528$ |
$3.88023$ |
$[0, -1, 0, -215608, -38462288]$ |
\(y^2=x^3-x^2-215608x-38462288\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
281775.bm4 |
281775bm1 |
281775.bm |
281775bm |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$17680$ |
$192$ |
$1$ |
$3.623971906$ |
$1$ |
|
$3$ |
$4718592$ |
$2.336761$ |
$17319700013617/25857$ |
$0.93528$ |
$4.55330$ |
$[1, 1, 0, -3894425, 2956476000]$ |
\(y^2+xy=x^3+x^2-3894425x+2956476000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 20.12.0-4.c.1.2, $\ldots$ |
$[(1040, 5180)]$ |
350727.c4 |
350727c1 |
350727.c |
350727c |
$6$ |
$8$ |
\( 3 \cdot 13 \cdot 17 \cdot 23^{2} \) |
\( 3^{2} \cdot 13^{2} \cdot 17 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$81328$ |
$192$ |
$1$ |
$9.979857052$ |
$1$ |
|
$1$ |
$1622016$ |
$1.683182$ |
$17319700013617/25857$ |
$0.93528$ |
$3.86096$ |
$[1, 1, 1, -285142, -58724446]$ |
\(y^2+xy+y=x^3+x^2-285142x-58724446\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[(70116/5, 18030374/5)]$ |
413712.bb4 |
413712bb1 |
413712.bb |
413712bb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{8} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$2.084096238$ |
$1$ |
|
$3$ |
$11010048$ |
$2.640362$ |
$17319700013617/25857$ |
$0.93528$ |
$4.69979$ |
$[0, 0, 0, -13117611, 18286461466]$ |
\(y^2=x^3-13117611x+18286461466\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0-8.n.1.4, $\ldots$ |
$[(2925, 70304)]$ |
422331.bq4 |
422331bq1 |
422331.bq |
422331bq |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$24752$ |
$192$ |
$1$ |
$12.48673966$ |
$1$ |
|
$1$ |
$8257536$ |
$2.370865$ |
$17319700013617/25857$ |
$0.93528$ |
$4.44265$ |
$[1, 0, 1, -4463632, -3630149911]$ |
\(y^2+xy+y=x^3-4463632x-3630149911\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$ |
$[(-6148661/71, 193792990/71)]$ |
439569.z4 |
439569z1 |
439569.z |
439569z |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{8} \cdot 13^{8} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$76.50167907$ |
$1$ |
|
$7$ |
$49545216$ |
$3.363823$ |
$17319700013617/25857$ |
$0.93528$ |
$5.34600$ |
$[1, -1, 1, -236936849, -1403712409264]$ |
\(y^2+xy+y=x^3-x^2-236936849x-1403712409264\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0-8.n.1.8, $\ldots$ |
$[(-8882, 5539), (54973893493570/21583, 403348365283456334509/21583)]$ |