| 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 |
| 32400.a1 |
32400x1 |
32400.a |
32400x |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$40$ |
$10$ |
$0$ |
$0.173085553$ |
$1$ |
|
$22$ |
$16128$ |
$0.345613$ |
$-18522$ |
$1.10844$ |
$2.78844$ |
$[0, 0, 0, -315, 2250]$ |
\(y^2=x^3-315x+2250\) |
5.5.0.a.1, 40.10.0.c.1 |
$[(9, 12), (15, 30)]$ |
| 32400.b1 |
32400w1 |
32400.b |
32400w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 5^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$40$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.894919$ |
$-18522$ |
$1.10844$ |
$3.42312$ |
$[0, 0, 0, -2835, -60750]$ |
\(y^2=x^3-2835x-60750\) |
5.5.0.a.1, 40.10.0.c.1 |
$[ ]$ |
| 32400.c1 |
32400cd2 |
32400.c |
32400cd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{12} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$2.075855$ |
$-8120601/12800$ |
$0.99343$ |
$4.65846$ |
$[0, 0, 0, -135675, 37118250]$ |
\(y^2=x^3-135675x+37118250\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[ ]$ |
| 32400.c2 |
32400cd1 |
32400.c |
32400cd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$124416$ |
$1.526548$ |
$62710839/125000$ |
$1.00087$ |
$3.96852$ |
$[0, 0, 0, 14325, -1031750]$ |
\(y^2=x^3+14325x-1031750\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[ ]$ |
| 32400.d1 |
32400cb2 |
32400.d |
32400cb |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$0.415345251$ |
$1$ |
|
$18$ |
$124416$ |
$1.457792$ |
$362225664/5$ |
$1.03419$ |
$4.41903$ |
$[0, 0, 0, -91800, 10705500]$ |
\(y^2=x^3-91800x+10705500\) |
3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.4, 30.8.0.a.1, 60.16.0-30.a.1.3 |
$[(165, 225), (174, 18)]$ |
| 32400.d2 |
32400cb1 |
32400.d |
32400cb |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$0.415345251$ |
$1$ |
|
$16$ |
$41472$ |
$0.908486$ |
$221184/125$ |
$1.42657$ |
$3.28332$ |
$[0, 0, 0, -1800, -4500]$ |
\(y^2=x^3-1800x-4500\) |
3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.3, 30.8.0.a.1, 60.16.0-30.a.1.2 |
$[(90, 750), (-30, 150)]$ |
| 32400.e1 |
32400cc1 |
32400.e |
32400cc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12960$ |
$0.363620$ |
$-6699465/2$ |
$0.95676$ |
$3.04731$ |
$[0, 0, 0, -795, -8630]$ |
\(y^2=x^3-795x-8630\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[ ]$ |
| 32400.e2 |
32400cc2 |
32400.e |
32400cc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38880$ |
$0.912927$ |
$135/8$ |
$1.04562$ |
$3.29719$ |
$[0, 0, 0, 405, -31590]$ |
\(y^2=x^3+405x-31590\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[ ]$ |
| 32400.f1 |
32400bz2 |
32400.f |
32400bz |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{12} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$60$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$93312$ |
$1.449366$ |
$-35937/4$ |
$1.00607$ |
$4.02691$ |
$[0, 0, 0, -22275, 1397250]$ |
\(y^2=x^3-22275x+1397250\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 20.16.0-4.b.1.1, 30.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
| 32400.f2 |
32400bz1 |
32400.f |
32400bz |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$60$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$31104$ |
$0.900060$ |
$109503/64$ |
$1.28549$ |
$3.27102$ |
$[0, 0, 0, 1725, -2750]$ |
\(y^2=x^3+1725x-2750\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 20.16.0-4.b.1.1, 30.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
| 32400.g1 |
32400by1 |
32400.g |
32400by |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$60$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$31104$ |
$0.900060$ |
$-35937/4$ |
$1.00607$ |
$3.39224$ |
$[0, 0, 0, -2475, -51750]$ |
\(y^2=x^3-2475x-51750\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 30.8.0-3.a.1.1, 60.128.1-12.b.2.2 |
$[ ]$ |
| 32400.g2 |
32400by2 |
32400.g |
32400by |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$60$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$93312$ |
$1.449366$ |
$109503/64$ |
$1.28549$ |
$3.90570$ |
$[0, 0, 0, 15525, 74250]$ |
\(y^2=x^3+15525x+74250\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 30.8.0-3.a.1.2, 60.128.1-12.b.1.2 |
$[ ]$ |
| 32400.h1 |
32400dd2 |
32400.h |
32400dd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1.062339459$ |
$1$ |
|
$4$ |
$38880$ |
$0.912927$ |
$-6699465/2$ |
$0.95676$ |
$3.68199$ |
$[0, 0, 0, -7155, 233010]$ |
\(y^2=x^3-7155x+233010\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[(49, 8)]$ |
| 32400.h2 |
32400dd1 |
32400.h |
32400dd |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.354113153$ |
$1$ |
|
$6$ |
$12960$ |
$0.363620$ |
$135/8$ |
$1.04562$ |
$2.66252$ |
$[0, 0, 0, 45, 1170]$ |
\(y^2=x^3+45x+1170\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[(9, 48)]$ |
| 32400.i1 |
32400ca2 |
32400.i |
32400ca |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$124416$ |
$1.457792$ |
$221184/125$ |
$1.42657$ |
$3.91799$ |
$[0, 0, 0, -16200, 121500]$ |
\(y^2=x^3-16200x+121500\) |
3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.4, 30.8.0.a.1, 60.16.0-30.a.1.3 |
$[ ]$ |
| 32400.i2 |
32400ca1 |
32400.i |
32400ca |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41472$ |
$0.908486$ |
$362225664/5$ |
$1.03419$ |
$3.78436$ |
$[0, 0, 0, -10200, -396500]$ |
\(y^2=x^3-10200x-396500\) |
3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.3, 30.8.0.a.1, 60.16.0-30.a.1.2 |
$[ ]$ |
| 32400.j1 |
32400dc1 |
32400.j |
32400dc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1.016345985$ |
$1$ |
|
$4$ |
$124416$ |
$1.526548$ |
$-8120601/12800$ |
$0.99343$ |
$4.02379$ |
$[0, 0, 0, -15075, -1374750]$ |
\(y^2=x^3-15075x-1374750\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[(465, 9600)]$ |
| 32400.j2 |
32400dc2 |
32400.j |
32400dc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 5^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$3.049037955$ |
$1$ |
|
$2$ |
$373248$ |
$2.075855$ |
$62710839/125000$ |
$1.00087$ |
$4.60319$ |
$[0, 0, 0, 128925, 27857250]$ |
\(y^2=x^3+128925x+27857250\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[(385, 11600)]$ |
| 32400.k1 |
32400k1 |
32400.k |
32400k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$180$ |
$12$ |
$0$ |
$2.417164493$ |
$1$ |
|
$2$ |
$6720$ |
$0.098131$ |
$2304$ |
$0.77371$ |
$2.36533$ |
$[0, 0, 0, -75, 125]$ |
\(y^2=x^3-75x+125\) |
2.2.0.a.1, 18.6.0.a.1, 20.4.0-2.a.1.1, 180.12.0.? |
$[(-4, 19)]$ |
| 32400.l1 |
32400t1 |
32400.l |
32400t |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.2, 5.5.0.1 |
5S4 |
$40$ |
$10$ |
$0$ |
$0.891746081$ |
$1$ |
|
$12$ |
$28800$ |
$0.814552$ |
$11250$ |
$0.98486$ |
$3.29511$ |
$[0, 0, 0, -1875, -28750]$ |
\(y^2=x^3-1875x-28750\) |
5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1 |
$[(-25, 50), (125, 1300)]$ |
| 32400.m1 |
32400db2 |
32400.m |
32400db |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$1260$ |
$96$ |
$2$ |
$2.651624754$ |
$1$ |
|
$2$ |
$387072$ |
$2.199539$ |
$-15590912409/78125$ |
$1.00703$ |
$5.04906$ |
$[0, 0, 0, -810675, -282156750]$ |
\(y^2=x^3-810675x-282156750\) |
7.8.0.a.1, 20.2.0.a.1, 42.16.0-7.a.1.1, 63.24.0.b.1, 126.48.0.?, $\ldots$ |
$[(9735, 956250)]$ |
| 32400.m2 |
32400db1 |
32400.m |
32400db |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$1260$ |
$96$ |
$2$ |
$0.378803536$ |
$1$ |
|
$6$ |
$55296$ |
$1.226582$ |
$-9/5$ |
$1.00480$ |
$3.66128$ |
$[0, 0, 0, -675, 209250]$ |
\(y^2=x^3-675x+209250\) |
7.8.0.a.1, 20.2.0.a.1, 42.16.0-7.a.1.2, 63.24.0.b.2, 126.48.0.?, $\ldots$ |
$[(15, 450)]$ |
| 32400.n1 |
32400bx2 |
32400.n |
32400bx |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$1260$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.650230$ |
$-15590912409/78125$ |
$1.00703$ |
$4.41438$ |
$[0, 0, 0, -90075, 10450250]$ |
\(y^2=x^3-90075x+10450250\) |
7.8.0.a.1, 14.16.0-7.a.1.1, 20.2.0.a.1, 63.24.0.b.1, 126.48.0.?, $\ldots$ |
$[ ]$ |
| 32400.n2 |
32400bx1 |
32400.n |
32400bx |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$1260$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$0.677277$ |
$-9/5$ |
$1.00480$ |
$3.02660$ |
$[0, 0, 0, -75, -7750]$ |
\(y^2=x^3-75x-7750\) |
7.8.0.a.1, 14.16.0-7.a.1.2, 20.2.0.a.1, 63.24.0.b.2, 126.48.0.?, $\ldots$ |
$[ ]$ |
| 32400.o1 |
32400s1 |
32400.o |
32400s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.2, 5.5.0.1 |
5S4 |
$40$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86400$ |
$1.363859$ |
$11250$ |
$0.98486$ |
$3.92978$ |
$[0, 0, 0, -16875, 776250]$ |
\(y^2=x^3-16875x+776250\) |
5.5.0.a.1, 8.2.0.b.1, 40.10.0.b.1 |
$[ ]$ |
| 32400.p1 |
32400ba1 |
32400.p |
32400ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$0.647437$ |
$2304$ |
$0.77371$ |
$3.00000$ |
$[0, 0, 0, -675, -3375]$ |
\(y^2=x^3-675x-3375\) |
2.2.0.a.1, 18.6.0.a.1, 60.4.0-2.a.1.1, 180.12.0.? |
$[ ]$ |
| 32400.q1 |
32400r1 |
32400.q |
32400r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.537722$ |
$27648$ |
$0.81518$ |
$4.18266$ |
$[0, 0, 0, -40500, 3037500]$ |
\(y^2=x^3-40500x+3037500\) |
10.2.0.a.1 |
$[ ]$ |
| 32400.r1 |
32400h1 |
32400.r |
32400h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.037807656$ |
$1$ |
|
$2$ |
$27648$ |
$1.007381$ |
$9216/5$ |
$0.81518$ |
$3.40043$ |
$[0, 0, 0, -2700, 13500]$ |
\(y^2=x^3-2700x+13500\) |
10.2.0.a.1 |
$[(-15, 225)]$ |
| 32400.s1 |
32400cu1 |
32400.s |
32400cu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$10$ |
$30$ |
$0$ |
$0.826806126$ |
$1$ |
|
$4$ |
$4608$ |
$0.037048$ |
$73728$ |
$1.42657$ |
$2.50109$ |
$[0, 0, 0, -120, -500]$ |
\(y^2=x^3-120x-500\) |
5.5.0.a.1, 10.30.0.a.1 |
$[(-6, 2)]$ |
| 32400.t1 |
32400cs2 |
32400.t |
32400cs |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$5.521931765$ |
$1$ |
|
$2$ |
$233280$ |
$1.886530$ |
$-1642545/8$ |
$0.95867$ |
$4.68873$ |
$[0, 0, 0, -232875, 43436250]$ |
\(y^2=x^3-232875x+43436250\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.a.1.7 |
$[(-89, 7966)]$ |
| 32400.t2 |
32400cs1 |
32400.t |
32400cs |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.840643921$ |
$1$ |
|
$2$ |
$77760$ |
$1.337223$ |
$308655/512$ |
$0.96774$ |
$3.74081$ |
$[0, 0, 0, 7125, 316250]$ |
\(y^2=x^3+7125x+316250\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.a.1.5 |
$[(-25, 350)]$ |
| 32400.u1 |
32400dg1 |
32400.u |
32400dg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$77760$ |
$1.337223$ |
$-1642545/8$ |
$0.95867$ |
$4.05406$ |
$[0, 0, 0, -25875, -1608750]$ |
\(y^2=x^3-25875x-1608750\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.a.1.5 |
$[ ]$ |
| 32400.u2 |
32400dg2 |
32400.u |
32400dg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$233280$ |
$1.886530$ |
$308655/512$ |
$0.96774$ |
$4.37548$ |
$[0, 0, 0, 64125, -8538750]$ |
\(y^2=x^3+64125x-8538750\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.a.1.7 |
$[ ]$ |
| 32400.v1 |
32400f1 |
32400.v |
32400f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$7.150603825$ |
$1$ |
|
$0$ |
$31680$ |
$1.031446$ |
$-450$ |
$0.82699$ |
$3.44694$ |
$[0, 0, 0, -1875, -68750]$ |
\(y^2=x^3-1875x-68750\) |
8.2.0.a.1 |
$[(1791/5, 50714/5)]$ |
| 32400.w1 |
32400z1 |
32400.w |
32400z |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{11} \cdot 3^{10} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$95040$ |
$1.580753$ |
$-450$ |
$0.82699$ |
$4.08161$ |
$[0, 0, 0, -16875, 1856250]$ |
\(y^2=x^3-16875x+1856250\) |
8.2.0.a.1 |
$[ ]$ |
| 32400.x1 |
32400ct1 |
32400.x |
32400ct |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$10$ |
$30$ |
$0$ |
$0.304129393$ |
$1$ |
|
$6$ |
$13824$ |
$0.586354$ |
$73728$ |
$1.42657$ |
$3.13576$ |
$[0, 0, 0, -1080, 13500]$ |
\(y^2=x^3-1080x+13500\) |
5.5.0.a.1, 10.30.0.a.1 |
$[(30, 90)]$ |
| 32400.y1 |
32400g1 |
32400.y |
32400g |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.081753478$ |
$1$ |
|
$2$ |
$9216$ |
$0.458076$ |
$9216/5$ |
$0.81518$ |
$2.76576$ |
$[0, 0, 0, -300, -500]$ |
\(y^2=x^3-300x-500\) |
10.2.0.a.1 |
$[(-15, 25)]$ |
| 32400.z1 |
32400q1 |
32400.z |
32400q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$0.988417$ |
$27648$ |
$0.81518$ |
$3.54799$ |
$[0, 0, 0, -4500, -112500]$ |
\(y^2=x^3-4500x-112500\) |
10.2.0.a.1 |
$[ ]$ |
| 32400.ba1 |
32400bo2 |
32400.ba |
32400bo |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.593857782$ |
$1$ |
|
$16$ |
$31104$ |
$0.881514$ |
$1097505/8$ |
$0.92816$ |
$3.50776$ |
$[0, 0, 0, -3915, 93690]$ |
\(y^2=x^3-3915x+93690\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[(21, 144), (309, 5328)]$ |
| 32400.ba2 |
32400bo1 |
32400.ba |
32400bo |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{13} \cdot 3^{6} \cdot 5^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.593857782$ |
$1$ |
|
$14$ |
$10368$ |
$0.332208$ |
$46305/2$ |
$0.87793$ |
$2.77985$ |
$[0, 0, 0, -315, -2070]$ |
\(y^2=x^3-315x-2070\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[(-11, 8), (-9, 6)]$ |
| 32400.bb1 |
32400bn2 |
32400.bb |
32400bn |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{16} \cdot 3^{12} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$248832$ |
$1.926407$ |
$-2146689/2000$ |
$0.96139$ |
$4.49614$ |
$[0, 0, 0, -87075, 15977250]$ |
\(y^2=x^3-87075x+15977250\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.2 |
$[ ]$ |
| 32400.bb2 |
32400bn1 |
32400.bb |
32400bn |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{24} \cdot 3^{4} \cdot 5^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$1.377100$ |
$15166431/20480$ |
$0.98011$ |
$3.77349$ |
$[0, 0, 0, 8925, -374750]$ |
\(y^2=x^3+8925x-374750\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.3 |
$[ ]$ |
| 32400.bc1 |
32400cp1 |
32400.bc |
32400cp |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{23} \cdot 3^{4} \cdot 5^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.740556628$ |
$1$ |
|
$4$ |
$25344$ |
$0.779517$ |
$-219501/2048$ |
$1.34792$ |
$3.14657$ |
$[0, 0, 0, -435, 14450]$ |
\(y^2=x^3-435x+14450\) |
40.2.0.a.1 |
$[(41, 256)]$ |
| 32400.bd1 |
32400bl2 |
32400.bd |
32400bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$180$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$23328$ |
$0.859673$ |
$6912$ |
$0.77371$ |
$3.31734$ |
$[0, 0, 0, -2025, 30375]$ |
\(y^2=x^3-2025x+30375\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 18.24.0.a.1, $\ldots$ |
$[ ]$ |
| 32400.bd2 |
32400bl1 |
32400.bd |
32400bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$180$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$7776$ |
$0.310366$ |
$790272$ |
$0.98305$ |
$2.92741$ |
$[0, 0, 0, -525, -4625]$ |
\(y^2=x^3-525x-4625\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 18.24.0.a.1, $\ldots$ |
$[ ]$ |
| 32400.be1 |
32400m1 |
32400.be |
32400m |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.759821$ |
$108$ |
$0.81518$ |
$3.11319$ |
$[0, 0, 0, 405, -12150]$ |
\(y^2=x^3+405x-12150\) |
20.2.0.a.1 |
$[ ]$ |
| 32400.bf1 |
32400df2 |
32400.bf |
32400df |
$2$ |
$13$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{38} \cdot 3^{10} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.14.0.1 |
13B |
$2340$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$2246400$ |
$3.083382$ |
$-1557792607653/67108864$ |
$1.07242$ |
$5.96336$ |
$[0, 0, 0, -18808875, 32544956250]$ |
\(y^2=x^3-18808875x+32544956250\) |
13.14.0.a.1, 20.2.0.a.1, 52.28.0.b.2, 65.28.0.a.2, 117.42.0.?, $\ldots$ |
$[ ]$ |
| 32400.bf2 |
32400df1 |
32400.bf |
32400df |
$2$ |
$13$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.14.0.1 |
13B |
$2340$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.800905$ |
$-1339893/4$ |
$0.95140$ |
$4.61222$ |
$[0, 0, 0, -178875, -29193750]$ |
\(y^2=x^3-178875x-29193750\) |
13.14.0.a.1, 20.2.0.a.1, 52.28.0.b.1, 65.28.0.a.1, 117.42.0.?, $\ldots$ |
$[ ]$ |
| 32400.bg1 |
32400bk2 |
32400.bg |
32400bk |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 5^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.364303115$ |
$1$ |
|
$22$ |
$124416$ |
$1.592583$ |
$-1058841/250$ |
$1.05827$ |
$4.15711$ |
$[0, 0, 0, -33075, 2747250]$ |
\(y^2=x^3-33075x+2747250\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 40.2.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[(-105, 2250), (-15, 1800)]$ |
| 32400.bg2 |
32400bk1 |
32400.bg |
32400bk |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.364303115$ |
$1$ |
|
$24$ |
$41472$ |
$1.043276$ |
$59319/40$ |
$0.93827$ |
$3.42356$ |
$[0, 0, 0, 2925, -24750]$ |
\(y^2=x^3+2925x-24750\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 40.2.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[(105, 1200), (9, 48)]$ |
