| 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 |
| 13200.a1 |
13200bn3 |
13200.a |
13200bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3 \cdot 5^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$1.933859$ |
$455129268177961/4392300$ |
$0.99488$ |
$5.45174$ |
$[0, -1, 0, -641008, -197319488]$ |
\(y^2=x^3-x^2-641008x-197319488\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[ ]$ |
| 13200.a2 |
13200bn2 |
13200.a |
13200bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.587286$ |
$119168121961/10890000$ |
$0.94576$ |
$4.58245$ |
$[0, -1, 0, -41008, -2919488]$ |
\(y^2=x^3-x^2-41008x-2919488\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$ |
$[ ]$ |
| 13200.a3 |
13200bn1 |
13200.a |
13200bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{20} \cdot 3 \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.240713$ |
$1263214441/211200$ |
$0.90751$ |
$4.10323$ |
$[0, -1, 0, -9008, 280512]$ |
\(y^2=x^3-x^2-9008x+280512\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 13200.a4 |
13200bn4 |
13200.a |
13200bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5^{14} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.933859$ |
$179310732119/1392187500$ |
$0.99500$ |
$4.89101$ |
$[0, -1, 0, 46992, -13831488]$ |
\(y^2=x^3-x^2+46992x-13831488\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 22.6.0.a.1, 24.12.0.ba.1, $\ldots$ |
$[ ]$ |
| 13200.b1 |
13200m3 |
13200.b |
13200m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$3.670750814$ |
$1$ |
|
$15$ |
$49152$ |
$1.337633$ |
$186779563204/360855$ |
$0.93518$ |
$4.48371$ |
$[0, -1, 0, -30008, -1987488]$ |
\(y^2=x^3-x^2-30008x-1987488\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.z.1.12, 88.24.0.?, 220.24.0.?, $\ldots$ |
$[(-98, 50), (221, 1458)]$ |
| 13200.b2 |
13200m4 |
13200.b |
13200m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 11^{4} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$0.917687703$ |
$1$ |
|
$41$ |
$49152$ |
$1.337633$ |
$108108036004/658845$ |
$0.93063$ |
$4.42608$ |
$[0, -1, 0, -25008, 1522512]$ |
\(y^2=x^3-x^2-25008x+1522512\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 10.6.0.a.1, 20.24.0-20.g.1.2, 88.24.0.?, $\ldots$ |
$[(108, 264), (72, 300)]$ |
| 13200.b3 |
13200m2 |
13200.b |
13200m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$3.670750814$ |
$1$ |
|
$19$ |
$24576$ |
$0.991058$ |
$436334416/245025$ |
$0.93521$ |
$3.69897$ |
$[0, -1, 0, -2508, -7488]$ |
\(y^2=x^3-x^2-2508x-7488\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.1, 44.24.0-44.b.1.3, 220.48.0.? |
$[(96, 792), (77, 500)]$ |
| 13200.b4 |
13200m1 |
13200.b |
13200m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$3.670750814$ |
$1$ |
|
$9$ |
$12288$ |
$0.644485$ |
$103737344/61875$ |
$0.96703$ |
$3.25534$ |
$[0, -1, 0, 617, -1238]$ |
\(y^2=x^3-x^2+617x-1238\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$ |
$[(22, 150), (502, 11250)]$ |
| 13200.c1 |
13200bu3 |
13200.c |
13200bu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{13} \cdot 3 \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1.786096902$ |
$1$ |
|
$5$ |
$49152$ |
$1.402912$ |
$4824238966273/66$ |
$1.02376$ |
$4.97251$ |
$[0, -1, 0, -140808, 20384112]$ |
\(y^2=x^3-x^2-140808x+20384112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 264.24.0.?, $\ldots$ |
$[(218, 26)]$ |
| 13200.c2 |
13200bu2 |
13200.c |
13200bu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$0.893048451$ |
$1$ |
|
$13$ |
$24576$ |
$1.056339$ |
$1180932193/4356$ |
$0.96736$ |
$4.09613$ |
$[0, -1, 0, -8808, 320112]$ |
\(y^2=x^3-x^2-8808x+320112\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 132.12.0.?, $\ldots$ |
$[(2, 550)]$ |
| 13200.c3 |
13200bu4 |
13200.c |
13200bu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$0.446524225$ |
$1$ |
|
$11$ |
$49152$ |
$1.402912$ |
$-192100033/2371842$ |
$1.02507$ |
$4.23211$ |
$[0, -1, 0, -4808, 608112]$ |
\(y^2=x^3-x^2-4808x+608112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$ |
$[(-4, 792)]$ |
| 13200.c4 |
13200bu1 |
13200.c |
13200bu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1.786096902$ |
$1$ |
|
$5$ |
$12288$ |
$0.709765$ |
$912673/528$ |
$1.18336$ |
$3.34092$ |
$[0, -1, 0, -808, 112]$ |
\(y^2=x^3-x^2-808x+112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$ |
$[(-3, 50)]$ |
| 13200.d1 |
13200bl1 |
13200.d |
13200bl |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$660$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$28800$ |
$1.124319$ |
$-3257444411545/2737152$ |
$0.98429$ |
$4.25276$ |
$[0, -1, 0, -14448, -664128]$ |
\(y^2=x^3-x^2-14448x-664128\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 132.2.0.?, 330.24.0.?, 660.48.1.? |
$[ ]$ |
| 13200.d2 |
13200bl2 |
13200.d |
13200bl |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3 \cdot 5^{10} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$660$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$144000$ |
$1.929037$ |
$2747555975/1932612$ |
$0.99360$ |
$4.86364$ |
$[0, -1, 0, 99792, 5598912]$ |
\(y^2=x^3-x^2+99792x+5598912\) |
5.12.0.a.2, 20.24.0-5.a.2.2, 132.2.0.?, 330.24.0.?, 660.48.1.? |
$[ ]$ |
| 13200.e1 |
13200p1 |
13200.e |
13200p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$6.969752735$ |
$1$ |
|
$2$ |
$739200$ |
$2.949760$ |
$-1963692857508260740/3452093881137$ |
$1.03897$ |
$6.52736$ |
$[0, -1, 0, -19222208, -32480747088]$ |
\(y^2=x^3-x^2-19222208x-32480747088\) |
132.2.0.? |
$[(127246, 45363142)]$ |
| 13200.f1 |
13200cb1 |
13200.f |
13200cb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{4} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.389036$ |
$-20261200/2673$ |
$0.86205$ |
$3.05782$ |
$[0, -1, 0, -308, 2412]$ |
\(y^2=x^3-x^2-308x+2412\) |
132.2.0.? |
$[ ]$ |
| 13200.g1 |
13200k1 |
13200.g |
13200k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3 \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21120$ |
$0.976007$ |
$-25600/363$ |
$0.88631$ |
$3.69190$ |
$[0, -1, 0, -833, 47037]$ |
\(y^2=x^3-x^2-833x+47037\) |
6.2.0.a.1 |
$[ ]$ |
| 13200.h1 |
13200e2 |
13200.h |
13200e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.569699674$ |
$1$ |
|
$5$ |
$12288$ |
$0.905295$ |
$5702413264/5445$ |
$0.88669$ |
$3.96986$ |
$[0, -1, 0, -5908, -172688]$ |
\(y^2=x^3-x^2-5908x-172688\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(-44, 12)]$ |
| 13200.h2 |
13200e1 |
13200.h |
13200e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$3.139399348$ |
$1$ |
|
$3$ |
$6144$ |
$0.558722$ |
$-10061824/22275$ |
$0.87906$ |
$3.17532$ |
$[0, -1, 0, -283, -3938]$ |
\(y^2=x^3-x^2-283x-3938\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(58, 414)]$ |
| 13200.i1 |
13200bx2 |
13200.i |
13200bx |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{45} \cdot 3^{2} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$6.317299800$ |
$1$ |
|
$2$ |
$570240$ |
$2.788925$ |
$-6663170841705625/850403524608$ |
$1.07384$ |
$6.09487$ |
$[0, -1, 0, -4585208, 4176588912]$ |
\(y^2=x^3-x^2-4585208x+4176588912\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[(506, 44562)]$ |
| 13200.i2 |
13200bx1 |
13200.i |
13200bx |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{6} \cdot 5^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$2.105766600$ |
$1$ |
|
$2$ |
$190080$ |
$2.239620$ |
$3355354844375/1987172352$ |
$1.11835$ |
$5.27350$ |
$[0, -1, 0, 364792, -13091088]$ |
\(y^2=x^3-x^2+364792x-13091088\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[(242, 9450)]$ |
| 13200.j1 |
13200bs2 |
13200.j |
13200bs |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3 \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$3.053063545$ |
$1$ |
|
$3$ |
$18432$ |
$0.998388$ |
$26894628304/9075$ |
$0.90390$ |
$4.13334$ |
$[0, -1, 0, -9908, 382812]$ |
\(y^2=x^3-x^2-9908x+382812\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(13, 506)]$ |
| 13200.j2 |
13200bs1 |
13200.j |
13200bs |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.526531772$ |
$1$ |
|
$3$ |
$9216$ |
$0.651814$ |
$-67108864/61875$ |
$1.12182$ |
$3.30987$ |
$[0, -1, 0, -533, 7812]$ |
\(y^2=x^3-x^2-533x+7812\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(32, 150)]$ |
| 13200.k1 |
13200br1 |
13200.k |
13200br |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{19} \cdot 3^{2} \cdot 5^{10} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$4.112824862$ |
$1$ |
|
$2$ |
$40320$ |
$1.501953$ |
$-390625/12672$ |
$1.18660$ |
$4.35622$ |
$[0, -1, 0, -5208, -1091088]$ |
\(y^2=x^3-x^2-5208x-1091088\) |
88.2.0.? |
$[(138, 894)]$ |
| 13200.l1 |
13200j1 |
13200.l |
13200j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.643354$ |
$9028656748079104/3969405$ |
$1.02473$ |
$5.18218$ |
$[0, -1, 0, -273283, 55079062]$ |
\(y^2=x^3-x^2-273283x+55079062\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[ ]$ |
| 13200.l2 |
13200j2 |
13200.l |
13200j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{16} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.989929$ |
$-555816294307024/11837848275$ |
$0.98162$ |
$5.18440$ |
$[0, -1, 0, -271908, 55659312]$ |
\(y^2=x^3-x^2-271908x+55659312\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[ ]$ |
| 13200.m1 |
13200n1 |
13200.m |
13200n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.468986885$ |
$1$ |
|
$6$ |
$28800$ |
$1.386765$ |
$137180/323433$ |
$1.03500$ |
$4.21040$ |
$[0, -1, 0, 792, 546912]$ |
\(y^2=x^3-x^2+792x+546912\) |
132.2.0.? |
$[(-58, 550)]$ |
| 13200.n1 |
13200bi5 |
13200.n |
13200bi |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{14} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.959625$ |
$553808571467029327441/12529687500$ |
$1.04740$ |
$6.92853$ |
$[0, -1, 0, -68434008, 217922230512]$ |
\(y^2=x^3-x^2-68434008x+217922230512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 20.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
| 13200.n2 |
13200bi3 |
13200.n |
13200bi |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$442368$ |
$2.613052$ |
$182864522286982801/463015182960$ |
$1.07501$ |
$6.08369$ |
$[0, -1, 0, -4730008, -3949257488]$ |
\(y^2=x^3-x^2-4730008x-3949257488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 13200.n3 |
13200bi4 |
13200.n |
13200bi |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$442368$ |
$2.613052$ |
$135670761487282321/643043610000$ |
$1.02017$ |
$6.05223$ |
$[0, -1, 0, -4282008, 3397942512]$ |
\(y^2=x^3-x^2-4282008x+3397942512\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 20.24.0-4.b.1.3, 24.48.0-24.h.1.4, $\ldots$ |
$[ ]$ |
| 13200.n4 |
13200bi6 |
13200.n |
13200bi |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{24} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$2.959625$ |
$-15595206456730321/310672490129100$ |
$1.05689$ |
$6.20022$ |
$[0, -1, 0, -2082008, 6882742512]$ |
\(y^2=x^3-x^2-2082008x+6882742512\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 20.12.0-4.c.1.2, 22.6.0.a.1, $\ldots$ |
$[ ]$ |
| 13200.n5 |
13200bi2 |
13200.n |
13200bi |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$2.266479$ |
$119102750067601/68309049600$ |
$1.06441$ |
$5.31045$ |
$[0, -1, 0, -410008, -9417488]$ |
\(y^2=x^3-x^2-410008x-9417488\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.2, 20.24.0-4.b.1.1, $\ldots$ |
$[ ]$ |
| 13200.n6 |
13200bi1 |
13200.n |
13200bi |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{28} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.919905$ |
$1833318007919/1070530560$ |
$1.04706$ |
$4.87054$ |
$[0, -1, 0, 101992, -1225488]$ |
\(y^2=x^3-x^2+101992x-1225488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.2, $\ldots$ |
$[ ]$ |
| 13200.o1 |
13200bv1 |
13200.o |
13200bv |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$1.670287206$ |
$1$ |
|
$3$ |
$9216$ |
$0.700218$ |
$57537462272/10673289$ |
$1.14195$ |
$3.41238$ |
$[0, -1, 0, -1013, 10572]$ |
\(y^2=x^3-x^2-1013x+10572\) |
2.3.0.a.1, 4.6.0.e.1, 10.6.0.a.1, 12.12.0.n.1, 20.12.0.k.1, $\ldots$ |
$[(8, 54)]$ |
| 13200.o2 |
13200bv2 |
13200.o |
13200bv |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$3.340574412$ |
$1$ |
|
$3$ |
$18432$ |
$1.046791$ |
$28134667888/64304361$ |
$0.97363$ |
$3.74320$ |
$[0, -1, 0, 2012, 58972]$ |
\(y^2=x^3-x^2+2012x+58972\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.l.1, 24.12.0.bu.1, 88.12.0.?, $\ldots$ |
$[(-3, 230)]$ |
| 13200.p1 |
13200a3 |
13200.p |
13200a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$2.012247455$ |
$1$ |
|
$5$ |
$16384$ |
$1.017132$ |
$5690357426/891$ |
$0.97486$ |
$4.18881$ |
$[0, -1, 0, -11808, -489888]$ |
\(y^2=x^3-x^2-11808x-489888\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[(-62, 6)]$ |
| 13200.p2 |
13200a2 |
13200.p |
13200a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1.006123727$ |
$1$ |
|
$13$ |
$8192$ |
$0.670558$ |
$3650692/1089$ |
$0.89911$ |
$3.34092$ |
$[0, -1, 0, -808, -5888]$ |
\(y^2=x^3-x^2-808x-5888\) |
2.6.0.a.1, 24.12.0.a.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 88.12.0.?, $\ldots$ |
$[(-18, 50)]$ |
| 13200.p3 |
13200a1 |
13200.p |
13200a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3 \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$2.012247455$ |
$1$ |
|
$5$ |
$4096$ |
$0.323985$ |
$810448/33$ |
$0.82188$ |
$3.03618$ |
$[0, -1, 0, -308, 2112]$ |
\(y^2=x^3-x^2-308x+2112\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.1, $\ldots$ |
$[(16, 32)]$ |
| 13200.p4 |
13200a4 |
13200.p |
13200a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3 \cdot 5^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$2.012247455$ |
$1$ |
|
$5$ |
$16384$ |
$1.017132$ |
$36382894/43923$ |
$0.96093$ |
$3.66500$ |
$[0, -1, 0, 2192, -41888]$ |
\(y^2=x^3-x^2+2192x-41888\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.2, $\ldots$ |
$[(42, 350)]$ |
| 13200.q1 |
13200bg3 |
13200.q |
13200bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{13} \cdot 3^{20} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$368640$ |
$2.565849$ |
$7981893677157049/1917731420550$ |
$1.01586$ |
$5.75364$ |
$[0, -1, 0, -1665408, -632066688]$ |
\(y^2=x^3-x^2-1665408x-632066688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[ ]$ |
| 13200.q2 |
13200bg2 |
13200.q |
13200bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$184320$ |
$2.219276$ |
$312341975961049/17862322500$ |
$0.99450$ |
$5.41206$ |
$[0, -1, 0, -565408, 155533312]$ |
\(y^2=x^3-x^2-565408x+155533312\) |
2.6.0.a.1, 24.12.0.a.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 88.12.0.?, $\ldots$ |
$[ ]$ |
| 13200.q3 |
13200bg1 |
13200.q |
13200bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.872704$ |
$299270638153369/1069200$ |
$0.99274$ |
$5.40756$ |
$[0, -1, 0, -557408, 160365312]$ |
\(y^2=x^3-x^2-557408x+160365312\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 13200.q4 |
13200bg4 |
13200.q |
13200bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{13} \cdot 3^{5} \cdot 5^{14} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.565849$ |
$116149984977671/2779502343750$ |
$1.04249$ |
$5.69752$ |
$[0, -1, 0, 406592, 633757312]$ |
\(y^2=x^3-x^2+406592x+633757312\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
| 13200.r1 |
13200bh2 |
13200.r |
13200bh |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3 \cdot 5^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.712890$ |
$192143824/1815$ |
$0.84134$ |
$3.61253$ |
$[0, -1, 0, -1908, -31188]$ |
\(y^2=x^3-x^2-1908x-31188\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? |
$[ ]$ |
| 13200.r2 |
13200bh1 |
13200.r |
13200bh |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.366316$ |
$-16384/2475$ |
$0.97867$ |
$2.91967$ |
$[0, -1, 0, -33, -1188]$ |
\(y^2=x^3-x^2-33x-1188\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? |
$[ ]$ |
| 13200.s1 |
13200b3 |
13200.s |
13200b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3 \cdot 5^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.359431052$ |
$1$ |
|
$3$ |
$24576$ |
$1.170847$ |
$5052857764/219615$ |
$0.90238$ |
$4.10323$ |
$[0, -1, 0, -9008, -313488]$ |
\(y^2=x^3-x^2-9008x-313488\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$ |
$[(337, 5900)]$ |
| 13200.s2 |
13200b2 |
13200.s |
13200b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$2.179715526$ |
$1$ |
|
$9$ |
$12288$ |
$0.824274$ |
$94875856/27225$ |
$0.84515$ |
$3.53815$ |
$[0, -1, 0, -1508, 16512]$ |
\(y^2=x^3-x^2-1508x+16512\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-60.a.1.4, $\ldots$ |
$[(37, 100)]$ |
| 13200.s3 |
13200b1 |
13200.s |
13200b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 5^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.359431052$ |
$1$ |
|
$3$ |
$6144$ |
$0.477700$ |
$1171019776/165$ |
$0.90007$ |
$3.51080$ |
$[0, -1, 0, -1383, 20262]$ |
\(y^2=x^3-x^2-1383x+20262\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[(86, 728)]$ |
| 13200.s4 |
13200b4 |
13200.s |
13200b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.089857763$ |
$1$ |
|
$7$ |
$24576$ |
$1.170847$ |
$439608956/556875$ |
$0.90540$ |
$3.86411$ |
$[0, -1, 0, 3992, 104512]$ |
\(y^2=x^3-x^2+3992x+104512\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 22.6.0.a.1, 24.12.0-4.c.1.3, $\ldots$ |
$[(22, 450)]$ |
| 13200.t1 |
13200h3 |
13200.t |
13200h |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.117 |
2B |
$880$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.880108$ |
$15897679904620804/2475$ |
$1.00524$ |
$5.68014$ |
$[0, -1, 0, -1320008, -583291488]$ |
\(y^2=x^3-x^2-1320008x-583291488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 16.48.0-16.f.1.9, 20.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
