| 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 |
| 97344.a1 |
97344w2 |
97344.a |
97344w |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$312$ |
$48$ |
$1$ |
$1.927602352$ |
$1$ |
|
$3$ |
$6193152$ |
$2.672241$ |
$315978926832/169$ |
$1.06481$ |
$5.35088$ |
$[0, 0, 0, -16445052, 25668517680]$ |
\(y^2=x^3-16445052x+25668517680\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ |
$[(2548, 17576)]$ |
| 97344.a2 |
97344w1 |
97344.a |
97344w |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$312$ |
$48$ |
$1$ |
$3.855204705$ |
$1$ |
|
$3$ |
$3096576$ |
$2.325668$ |
$-1213857792/28561$ |
$1.24370$ |
$4.62873$ |
$[0, 0, 0, -1022112, 405741960]$ |
\(y^2=x^3-1022112x+405741960\) |
2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ |
$[(558, 3024)]$ |
| 97344.b1 |
97344cz1 |
97344.b |
97344cz |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.463293470$ |
$1$ |
|
$8$ |
$46080$ |
$0.280681$ |
$6656/27$ |
$1.10485$ |
$2.30516$ |
$[0, 0, 0, 78, 650]$ |
\(y^2=x^3+78x+650\) |
6.2.0.a.1 |
$[(1, 27), (-23/2, 27/2)]$ |
| 97344.c1 |
97344dp2 |
97344.c |
97344dp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.122 |
2B |
$624$ |
$192$ |
$5$ |
$4.747849594$ |
$1$ |
|
$3$ |
$589824$ |
$1.608381$ |
$34909201168/81$ |
$1.02428$ |
$4.20221$ |
$[0, 0, 0, -202332, -35030320]$ |
\(y^2=x^3-202332x-35030320\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 26.6.0.b.1, 48.48.1.hj.2, $\ldots$ |
$[(572, 6032)]$ |
| 97344.c2 |
97344dp1 |
97344.c |
97344dp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.119 |
2B |
$624$ |
$192$ |
$5$ |
$2.373924797$ |
$1$ |
|
$3$ |
$294912$ |
$1.261808$ |
$141150208/6561$ |
$1.03967$ |
$3.48105$ |
$[0, 0, 0, -12792, -534040]$ |
\(y^2=x^3-12792x-534040\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 26.6.0.b.1, 48.48.1.hj.1, $\ldots$ |
$[(-62, 144)]$ |
| 97344.d1 |
97344ge1 |
97344.d |
97344ge |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{16} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.284111561$ |
$1$ |
|
$3$ |
$5160960$ |
$2.714741$ |
$1909913257984/129730653$ |
$1.03790$ |
$4.97918$ |
$[0, 0, 0, -3962712, 2852496920]$ |
\(y^2=x^3-3962712x+2852496920\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(1742, 35152)]$ |
| 97344.d2 |
97344ge2 |
97344.d |
97344ge |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{11} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.568223122$ |
$1$ |
|
$3$ |
$10321920$ |
$3.061314$ |
$77366117936/1172914587$ |
$1.04122$ |
$5.22235$ |
$[0, 0, 0, 3429348, 12269981360]$ |
\(y^2=x^3+3429348x+12269981360\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(5668, 462384)]$ |
| 97344.e1 |
97344eb1 |
97344.e |
97344eb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.949054023$ |
$1$ |
|
$7$ |
$61440$ |
$0.593168$ |
$1728$ |
|
$2.63792$ |
$[0, 0, 0, -507, 0]$ |
\(y^2=x^3-507x\) |
|
$[(52, 338), (-12, 66)]$ |
| 97344.e2 |
97344eb2 |
97344.e |
97344eb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.949054023$ |
$1$ |
|
$11$ |
$122880$ |
$0.939742$ |
$1728$ |
|
$3.00000$ |
$[0, 0, 0, 2028, 0]$ |
\(y^2=x^3+2028x\) |
|
$[(13, 169), (48, 456)]$ |
| 97344.f1 |
97344gr2 |
97344.f |
97344gr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$798720$ |
$1.855633$ |
$1728$ |
|
$3.95688$ |
$[0, 0, 0, -79092, 0]$ |
\(y^2=x^3-79092x\) |
|
$[ ]$ |
| 97344.f2 |
97344gr1 |
97344.f |
97344gr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$4$ |
$2$ |
$1$ |
$399360$ |
$1.509058$ |
$1728$ |
|
$3.59479$ |
$[0, 0, 0, 19773, 0]$ |
\(y^2=x^3+19773x\) |
|
$[ ]$ |
| 97344.g1 |
97344cx1 |
97344.g |
97344cx |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{16} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5160960$ |
$2.714741$ |
$1909913257984/129730653$ |
$1.03790$ |
$4.97918$ |
$[0, 0, 0, -3962712, -2852496920]$ |
\(y^2=x^3-3962712x-2852496920\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
| 97344.g2 |
97344cx2 |
97344.g |
97344cx |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{11} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$10321920$ |
$3.061314$ |
$77366117936/1172914587$ |
$1.04122$ |
$5.22235$ |
$[0, 0, 0, 3429348, -12269981360]$ |
\(y^2=x^3+3429348x-12269981360\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
| 97344.h1 |
97344gs2 |
97344.h |
97344gs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.122 |
2B |
$624$ |
$192$ |
$5$ |
$3.202987711$ |
$1$ |
|
$13$ |
$589824$ |
$1.608381$ |
$34909201168/81$ |
$1.02428$ |
$4.20221$ |
$[0, 0, 0, -202332, 35030320]$ |
\(y^2=x^3-202332x+35030320\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 26.6.0.b.1, 48.48.1.hj.2, $\ldots$ |
$[(248, 324), (269, 261)]$ |
| 97344.h2 |
97344gs1 |
97344.h |
97344gs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.119 |
2B |
$624$ |
$192$ |
$5$ |
$3.202987711$ |
$1$ |
|
$13$ |
$294912$ |
$1.261808$ |
$141150208/6561$ |
$1.03967$ |
$3.48105$ |
$[0, 0, 0, -12792, 534040]$ |
\(y^2=x^3-12792x+534040\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 26.6.0.b.1, 48.48.1.hj.1, $\ldots$ |
$[(26, 468), (78, 104)]$ |
| 97344.i1 |
97344cy1 |
97344.i |
97344cy |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$0.280681$ |
$6656/27$ |
$1.10485$ |
$2.30516$ |
$[0, 0, 0, 78, -650]$ |
\(y^2=x^3+78x-650\) |
6.2.0.a.1 |
$[ ]$ |
| 97344.j1 |
97344ec2 |
97344.j |
97344ec |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6193152$ |
$2.672241$ |
$315978926832/169$ |
$1.06481$ |
$5.35088$ |
$[0, 0, 0, -16445052, -25668517680]$ |
\(y^2=x^3-16445052x-25668517680\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ |
$[ ]$ |
| 97344.j2 |
97344ec1 |
97344.j |
97344ec |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3096576$ |
$2.325668$ |
$-1213857792/28561$ |
$1.24370$ |
$4.62873$ |
$[0, 0, 0, -1022112, -405741960]$ |
\(y^2=x^3-1022112x-405741960\) |
2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ |
$[ ]$ |
| 97344.k1 |
97344cs2 |
97344.k |
97344cs |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$936$ |
$288$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$1797120$ |
$2.301807$ |
$-368484688$ |
$1.11303$ |
$4.92253$ |
$[0, 0, 0, -3190044, 2193027824]$ |
\(y^2=x^3-3190044x+2193027824\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0-12.a.1.1, 24.32.0-24.b.2.4, $\ldots$ |
$[ ]$ |
| 97344.k2 |
97344cs1 |
97344.k |
97344cs |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$936$ |
$288$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$1.752501$ |
$-208$ |
$0.71000$ |
$3.86415$ |
$[0, 0, 0, -26364, 5026736]$ |
\(y^2=x^3-26364x+5026736\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0-12.a.1.1, 24.32.0-24.b.1.4, $\ldots$ |
$[ ]$ |
| 97344.l1 |
97344gb1 |
97344.l |
97344gb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{14} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$312$ |
$16$ |
$0$ |
$7.352067754$ |
$1$ |
|
$2$ |
$12779520$ |
$3.159950$ |
$-616966948/6561$ |
$1.02748$ |
$5.53631$ |
$[0, 0, 0, -33245004, 74454642704]$ |
\(y^2=x^3-33245004x+74454642704\) |
4.8.0.b.1, 312.16.0.? |
$[(-5684, 282456)]$ |
| 97344.m1 |
97344dn2 |
97344.m |
97344dn |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{33} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$4.416991507$ |
$1$ |
|
$2$ |
$691200$ |
$1.890167$ |
$-1680914269/32768$ |
$1.02322$ |
$4.18239$ |
$[0, 0, 0, -185484, -31260944]$ |
\(y^2=x^3-185484x-31260944\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.1, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[(31902, 5697536)]$ |
| 97344.m2 |
97344dn1 |
97344.m |
97344dn |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$0.883398301$ |
$1$ |
|
$4$ |
$138240$ |
$1.085449$ |
$1331/8$ |
$0.93577$ |
$3.15132$ |
$[0, 0, 0, 1716, 83824]$ |
\(y^2=x^3+1716x+83824\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.2, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[(78, 832)]$ |
| 97344.n1 |
97344cq1 |
97344.n |
97344cq |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{26} \cdot 3^{12} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$589824$ |
$1.721754$ |
$-156116857/186624$ |
$1.01025$ |
$3.84682$ |
$[0, 0, 0, -35724, -4550416]$ |
\(y^2=x^3-35724x-4550416\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 52.4.0-4.a.1.1, $\ldots$ |
$[ ]$ |
| 97344.n2 |
97344cq2 |
97344.n |
97344cq |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{42} \cdot 3^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1769472$ |
$2.271061$ |
$93603087383/150994944$ |
$1.05810$ |
$4.35673$ |
$[0, 0, 0, 301236, 85080944]$ |
\(y^2=x^3+301236x+85080944\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 52.4.0-4.a.1.1, $\ldots$ |
$[ ]$ |
| 97344.o1 |
97344fz1 |
97344.o |
97344fz |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$52$ |
$4$ |
$0$ |
$3.193210848$ |
$1$ |
|
$2$ |
$24576$ |
$0.188541$ |
$-832/9$ |
$1.27279$ |
$2.22745$ |
$[0, 0, 0, -39, -416]$ |
\(y^2=x^3-39x-416\) |
4.2.0.a.1, 52.4.0-4.a.1.1 |
$[(68, 558)]$ |
| 97344.p1 |
97344dm1 |
97344.p |
97344dm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.3.0.1 |
3Nn |
$312$ |
$12$ |
$1$ |
$1.439155616$ |
$1$ |
|
$4$ |
$1257984$ |
$2.146751$ |
$-74088$ |
$0.92990$ |
$4.46713$ |
$[0, 0, 0, -553644, 160398576]$ |
\(y^2=x^3-553644x+160398576\) |
3.3.0.a.1, 24.6.0.m.1, 104.2.0.?, 156.6.0.?, 312.12.1.? |
$[(-338, 17576)]$ |
| 97344.q1 |
97344cp1 |
97344.q |
97344cp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{10} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$312$ |
$16$ |
$0$ |
$2.507445461$ |
$1$ |
|
$14$ |
$98304$ |
$0.953496$ |
$69212/81$ |
$0.89849$ |
$2.95829$ |
$[0, 0, 0, 1716, -27664]$ |
\(y^2=x^3+1716x-27664\) |
4.8.0.b.1, 312.16.0.? |
$[(22, 144), (40, 324)]$ |
| 97344.r1 |
97344fw1 |
97344.r |
97344fw |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$312$ |
$16$ |
$0$ |
$2.132091015$ |
$1$ |
|
$2$ |
$98304$ |
$0.953496$ |
$69212/81$ |
$0.89849$ |
$2.95829$ |
$[0, 0, 0, 1716, 27664]$ |
\(y^2=x^3+1716x+27664\) |
4.8.0.b.1, 312.16.0.? |
$[(-4, 144)]$ |
| 97344.s1 |
97344dl1 |
97344.s |
97344dl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.3.0.1 |
3Nn |
$312$ |
$12$ |
$1$ |
$6.340147716$ |
$1$ |
|
$2$ |
$1257984$ |
$2.146751$ |
$-74088$ |
$0.92990$ |
$4.46713$ |
$[0, 0, 0, -553644, -160398576]$ |
\(y^2=x^3-553644x-160398576\) |
3.3.0.a.1, 24.6.0.m.1, 104.2.0.?, 156.6.0.?, 312.12.1.? |
$[(2266, 101096)]$ |
| 97344.t1 |
97344fx1 |
97344.t |
97344fx |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$52$ |
$4$ |
$0$ |
$1.356436677$ |
$1$ |
|
$2$ |
$24576$ |
$0.188541$ |
$-832/9$ |
$1.27279$ |
$2.22745$ |
$[0, 0, 0, -39, 416]$ |
\(y^2=x^3-39x+416\) |
4.2.0.a.1, 52.4.0-4.a.1.1 |
$[(4, 18)]$ |
| 97344.u1 |
97344fy1 |
97344.u |
97344fy |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{26} \cdot 3^{12} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$3.996781584$ |
$1$ |
|
$2$ |
$589824$ |
$1.721754$ |
$-156116857/186624$ |
$1.01025$ |
$3.84682$ |
$[0, 0, 0, -35724, 4550416]$ |
\(y^2=x^3-35724x+4550416\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 52.4.0-4.a.1.1, $\ldots$ |
$[(-160, 2484)]$ |
| 97344.u2 |
97344fy2 |
97344.u |
97344fy |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{42} \cdot 3^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$11.99034475$ |
$1$ |
|
$0$ |
$1769472$ |
$2.271061$ |
$93603087383/150994944$ |
$1.05810$ |
$4.35673$ |
$[0, 0, 0, 301236, -85080944]$ |
\(y^2=x^3+301236x-85080944\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 52.4.0-4.a.1.1, $\ldots$ |
$[(598784/31, 552955788/31)]$ |
| 97344.v1 |
97344go2 |
97344.v |
97344go |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{33} \cdot 3^{6} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$691200$ |
$1.890167$ |
$-1680914269/32768$ |
$1.02322$ |
$4.18239$ |
$[0, 0, 0, -185484, 31260944]$ |
\(y^2=x^3-185484x+31260944\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.1, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[ ]$ |
| 97344.v2 |
97344go1 |
97344.v |
97344go |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.085449$ |
$1331/8$ |
$0.93577$ |
$3.15132$ |
$[0, 0, 0, 1716, -83824]$ |
\(y^2=x^3+1716x-83824\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.2, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[ ]$ |
| 97344.w1 |
97344cr1 |
97344.w |
97344cr |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{14} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$312$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12779520$ |
$3.159950$ |
$-616966948/6561$ |
$1.02748$ |
$5.53631$ |
$[0, 0, 0, -33245004, -74454642704]$ |
\(y^2=x^3-33245004x-74454642704\) |
4.8.0.b.1, 312.16.0.? |
$[ ]$ |
| 97344.x1 |
97344ga2 |
97344.x |
97344ga |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$936$ |
$288$ |
$6$ |
$13.39839204$ |
$1$ |
|
$0$ |
$1797120$ |
$2.301807$ |
$-368484688$ |
$1.11303$ |
$4.92253$ |
$[0, 0, 0, -3190044, -2193027824]$ |
\(y^2=x^3-3190044x-2193027824\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0-12.a.1.1, 24.32.0-24.b.2.5, $\ldots$ |
$[(1768542/29, 486611464/29)]$ |
| 97344.x2 |
97344ga1 |
97344.x |
97344ga |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$936$ |
$288$ |
$6$ |
$4.466130680$ |
$1$ |
|
$2$ |
$599040$ |
$1.752501$ |
$-208$ |
$0.71000$ |
$3.86415$ |
$[0, 0, 0, -26364, -5026736]$ |
\(y^2=x^3-26364x-5026736\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.16.0-12.a.1.1, 24.32.0-24.b.1.5, $\ldots$ |
$[(222, 248)]$ |
| 97344.y1 |
97344ci4 |
97344.y |
97344ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{11} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$3.839581$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.60726$ |
$[0, 0, 0, -2018867916, -34914829912976]$ |
\(y^2=x^3-2018867916x-34914829912976\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$ |
$[ ]$ |
| 97344.y2 |
97344ci3 |
97344.y |
97344ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{26} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$3.839581$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.03732$ |
$[0, 0, 0, -227738316, 448653517936]$ |
\(y^2=x^3-227738316x+448653517936\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.ba.1.15, 26.6.0.b.1, $\ldots$ |
$[ ]$ |
| 97344.y3 |
97344ci2 |
97344.y |
97344ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{26} \cdot 3^{16} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$20643840$ |
$3.493004$ |
$242702053576633/2554695936$ |
$1.10395$ |
$5.88376$ |
$[0, 0, 0, -126500556, -542626132880]$ |
\(y^2=x^3-126500556x-542626132880\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0.a.1, 24.24.0-12.a.1.4, 52.12.0.b.1, $\ldots$ |
$[ ]$ |
| 97344.y4 |
97344ci1 |
97344.y |
97344ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{34} \cdot 3^{11} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10321920$ |
$3.146431$ |
$-822656953/207028224$ |
$1.08584$ |
$5.31633$ |
$[0, 0, 0, -1900236, -21049193360]$ |
\(y^2=x^3-1900236x-21049193360\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.ba.1.7, 78.6.0.?, $\ldots$ |
$[ ]$ |
| 97344.z1 |
97344fo4 |
97344.z |
97344fo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$10.88451936$ |
$1$ |
|
$1$ |
$2752512$ |
$2.553135$ |
$37159393753/1053$ |
$1.11616$ |
$5.11897$ |
$[0, 0, 0, -6767436, -6776004976]$ |
\(y^2=x^3-6767436x-6776004976\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.ba.1.7, 26.6.0.b.1, $\ldots$ |
$[(442549/5, 291024657/5)]$ |
| 97344.z2 |
97344fo3 |
97344.z |
97344fo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{7} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$2.721129840$ |
$1$ |
|
$3$ |
$2752512$ |
$2.553135$ |
$822656953/85683$ |
$0.96086$ |
$4.78722$ |
$[0, 0, 0, -1900236, 913002896]$ |
\(y^2=x^3-1900236x+913002896\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$ |
$[(-286, 37856)]$ |
| 97344.z3 |
97344fo2 |
97344.z |
97344fo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$312$ |
$48$ |
$0$ |
$5.442259680$ |
$1$ |
|
$5$ |
$1376256$ |
$2.206562$ |
$10218313/1521$ |
$0.91403$ |
$4.40516$ |
$[0, 0, 0, -440076, -96843760]$ |
\(y^2=x^3-440076x-96843760\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0.a.1, 24.24.0-12.a.1.4, 52.12.0.b.1, $\ldots$ |
$[(829, 10395)]$ |
| 97344.z4 |
97344fo1 |
97344.z |
97344fo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{18} \cdot 3^{7} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$2.721129840$ |
$1$ |
|
$5$ |
$688128$ |
$1.859987$ |
$12167/39$ |
$0.85844$ |
$3.95065$ |
$[0, 0, 0, 46644, -8260720]$ |
\(y^2=x^3+46644x-8260720\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.ba.1.15, 78.6.0.?, $\ldots$ |
$[(322, 6336)]$ |
| 97344.ba1 |
97344cj4 |
97344.ba |
97344cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.752134$ |
$7301384/3$ |
$1.03749$ |
$4.19486$ |
$[0, 0, 0, -196716, 33570160]$ |
\(y^2=x^3-196716x+33570160\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 104.24.0.?, $\ldots$ |
$[ ]$ |
| 97344.ba2 |
97344cj2 |
97344.ba |
97344cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.405560$ |
$21952/9$ |
$1.09175$ |
$3.50825$ |
$[0, 0, 0, -14196, 351520]$ |
\(y^2=x^3-14196x+351520\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.2, $\ldots$ |
$[ ]$ |
| 97344.ba3 |
97344cj1 |
97344.ba |
97344cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.058987$ |
$140608/3$ |
$1.02705$ |
$3.30785$ |
$[0, 0, 0, -6591, -202124]$ |
\(y^2=x^3-6591x-202124\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[ ]$ |
| 97344.ba4 |
97344cj3 |
97344.ba |
97344cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.752134$ |
$97336/81$ |
$1.05989$ |
$3.81895$ |
$[0, 0, 0, 46644, 2566096]$ |
\(y^2=x^3+46644x+2566096\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 104.24.0.?, $\ldots$ |
$[ ]$ |
