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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
7200.a1 |
7200z1 |
7200.a |
7200z |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$2.546227832$ |
$1$ |
|
$5$ |
$30720$ |
$1.555542$ |
$2156689088/81$ |
$[0, 0, 0, -121125, 16225000]$ |
\(y^2=x^3-121125x+16225000\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bc.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ |
$[(75, 2750)]$ |
7200.a2 |
7200z2 |
7200.a |
7200z |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$1.273113916$ |
$1$ |
|
$9$ |
$61440$ |
$1.902115$ |
$-29218112/6561$ |
$[0, 0, 0, -115500, 17800000]$ |
\(y^2=x^3-115500x+17800000\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bp.1, 20.12.0.l.1, 40.48.1.jp.1, $\ldots$ |
$[(86, 2916)]$ |
7200.b1 |
7200bp3 |
7200.b |
7200bp |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.20 |
2B |
$240$ |
$192$ |
$3$ |
$1.071043901$ |
$1$ |
|
$5$ |
$24576$ |
$1.446344$ |
$23937672968/45$ |
$[0, 0, 0, -108075, 13675250]$ |
\(y^2=x^3-108075x+13675250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.1, 24.24.0-8.o.1.2, $\ldots$ |
$[(130, 1350)]$ |
7200.b2 |
7200bp2 |
7200.b |
7200bp |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{14} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.20 |
2B |
$240$ |
$192$ |
$3$ |
$1.071043901$ |
$1$ |
|
$7$ |
$24576$ |
$1.446344$ |
$111980168/32805$ |
$[0, 0, 0, -18075, -657250]$ |
\(y^2=x^3-18075x-657250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.1, 24.24.0-8.o.1.4, $\ldots$ |
$[(-95, 450)]$ |
7200.b3 |
7200bp1 |
7200.b |
7200bp |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.28 |
2Cs |
$240$ |
$192$ |
$3$ |
$2.142087802$ |
$1$ |
|
$9$ |
$12288$ |
$1.099771$ |
$48228544/2025$ |
$[0, 0, 0, -6825, 209000]$ |
\(y^2=x^3-6825x+209000\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.6, 24.48.0-24.j.1.8, 40.48.0-40.a.1.8, $\ldots$ |
$[(65, 200)]$ |
7200.b4 |
7200bp4 |
7200.b |
7200bp |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.65 |
2B |
$240$ |
$192$ |
$3$ |
$1.071043901$ |
$1$ |
|
$7$ |
$24576$ |
$1.446344$ |
$85184/5625$ |
$[0, 0, 0, 3300, 776000]$ |
\(y^2=x^3+3300x+776000\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.6, 24.48.0-24.z.1.5, 40.48.0-40.bf.1.5, $\ldots$ |
$[(10, 900)]$ |
7200.c1 |
7200ca1 |
7200.c |
7200ca |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.750823$ |
$2156689088/81$ |
$[0, 0, 0, -4845, -129800]$ |
\(y^2=x^3-4845x-129800\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bc.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ |
$[]$ |
7200.c2 |
7200ca2 |
7200.c |
7200ca |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.097397$ |
$-29218112/6561$ |
$[0, 0, 0, -4620, -142400]$ |
\(y^2=x^3-4620x-142400\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bp.1, 20.12.0.l.1, 40.48.1.jp.1, $\ldots$ |
$[]$ |
7200.d1 |
7200p3 |
7200.d |
7200p |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.919666$ |
$1261112198464/675$ |
$[0, 0, 0, -810300, 280748000]$ |
\(y^2=x^3-810300x+280748000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
7200.d2 |
7200p2 |
7200.d |
7200p |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.919666$ |
$26410345352/10546875$ |
$[0, 0, 0, -111675, -7996750]$ |
\(y^2=x^3-111675x-7996750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 24.24.0.bi.1, $\ldots$ |
$[]$ |
7200.d3 |
7200p1 |
7200.d |
7200p |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$36864$ |
$1.573092$ |
$20034997696/455625$ |
$[0, 0, 0, -50925, 4335500]$ |
\(y^2=x^3-50925x+4335500\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$ |
$[]$ |
7200.d4 |
7200p4 |
7200.d |
7200p |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.919666$ |
$2863288/13286025$ |
$[0, 0, 0, 5325, 13391750]$ |
\(y^2=x^3+5325x+13391750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.3, $\ldots$ |
$[]$ |
7200.e1 |
7200bq3 |
7200.e |
7200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$0.787317973$ |
$1$ |
|
$7$ |
$8192$ |
$0.927805$ |
$7301384/3$ |
$[0, 0, 0, -7275, 238750]$ |
\(y^2=x^3-7275x+238750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 24.24.0.bi.1, $\ldots$ |
$[(5, 450)]$ |
7200.e2 |
7200bq2 |
7200.e |
7200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$0.787317973$ |
$1$ |
|
$9$ |
$8192$ |
$0.927805$ |
$140608/3$ |
$[0, 0, 0, -3900, -92000]$ |
\(y^2=x^3-3900x-92000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(-34, 36)]$ |
7200.e3 |
7200bq1 |
7200.e |
7200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$120$ |
$48$ |
$0$ |
$1.574635946$ |
$1$ |
|
$9$ |
$4096$ |
$0.581231$ |
$21952/9$ |
$[0, 0, 0, -525, 2500]$ |
\(y^2=x^3-525x+2500\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 24.24.0.f.1, $\ldots$ |
$[(0, 50)]$ |
7200.e4 |
7200bq4 |
7200.e |
7200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$3.149271893$ |
$1$ |
|
$3$ |
$8192$ |
$0.927805$ |
$97336/81$ |
$[0, 0, 0, 1725, 18250]$ |
\(y^2=x^3+1725x+18250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.3, $\ldots$ |
$[(90, 950)]$ |
7200.f1 |
7200by1 |
7200.f |
7200by |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{17} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84480$ |
$2.002850$ |
$-5624320/177147$ |
$[0, 0, 0, -39000, -22070000]$ |
\(y^2=x^3-39000x-22070000\) |
6.2.0.a.1 |
$[]$ |
7200.g1 |
7200m1 |
7200.g |
7200m |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$60$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.914783$ |
$-425920000/243$ |
$[0, 0, 0, -6600, -206480]$ |
\(y^2=x^3-6600x-206480\) |
5.15.0.a.1, 6.2.0.a.1, 20.30.0.b.1, 30.30.2.b.1, 60.60.3.j.1 |
$[]$ |
7200.h1 |
7200x1 |
7200.h |
7200x |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$60$ |
$60$ |
$3$ |
$0.590905726$ |
$1$ |
|
$6$ |
$38400$ |
$1.719501$ |
$-425920000/243$ |
$[0, 0, 0, -165000, 25810000]$ |
\(y^2=x^3-165000x+25810000\) |
5.15.0.a.1, 6.2.0.a.1, 20.30.0.b.1, 30.30.2.b.1, 60.60.3.j.1 |
$[(200, 900)]$ |
7200.i1 |
7200n1 |
7200.i |
7200n |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{17} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16896$ |
$1.198130$ |
$-5624320/177147$ |
$[0, 0, 0, -1560, 176560]$ |
\(y^2=x^3-1560x+176560\) |
6.2.0.a.1 |
$[]$ |
7200.j1 |
7200bv2 |
7200.j |
7200bv |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.220842$ |
$195112/9$ |
$[0, 0, 0, -10875, -418750]$ |
\(y^2=x^3-10875x-418750\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
7200.j2 |
7200bv1 |
7200.j |
7200bv |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.874269$ |
$64/3$ |
$[0, 0, 0, 375, -25000]$ |
\(y^2=x^3+375x-25000\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[]$ |
7200.k1 |
7200bu1 |
7200.k |
7200bu |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.15.0.1 |
5Ns |
$40$ |
$60$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$7200$ |
$0.864890$ |
$-5000$ |
$[0, 0, 0, -1875, 36250]$ |
\(y^2=x^3-1875x+36250\) |
5.15.0.a.1, 8.2.0.a.1, 20.30.0.b.1, 40.60.3.u.1 |
$[]$ |
7200.l1 |
7200bk1 |
7200.l |
7200bk |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$120$ |
$48$ |
$0$ |
$0.685756553$ |
$1$ |
|
$7$ |
$4608$ |
$0.647980$ |
$438976/5$ |
$[0, 0, 0, -1425, 20500]$ |
\(y^2=x^3-1425x+20500\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 24.12.0-4.b.1.2, $\ldots$ |
$[(15, 50)]$ |
7200.l2 |
7200bk2 |
7200.l |
7200bk |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$120$ |
$48$ |
$0$ |
$1.371513107$ |
$1$ |
|
$5$ |
$9216$ |
$0.994554$ |
$-64/25$ |
$[0, 0, 0, -300, 52000]$ |
\(y^2=x^3-300x+52000\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 24.12.0-4.a.1.2, 40.24.0.t.1, $\ldots$ |
$[(5, 225)]$ |
7200.m1 |
7200c2 |
7200.m |
7200c |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$2.540939287$ |
$1$ |
|
$3$ |
$9216$ |
$1.139387$ |
$157464/25$ |
$[0, 0, 0, -6075, 155250]$ |
\(y^2=x^3-6075x+155250\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(130, 1250)]$ |
7200.m2 |
7200c1 |
7200.m |
7200c |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1.270469643$ |
$1$ |
|
$5$ |
$4608$ |
$0.792813$ |
$1728/5$ |
$[0, 0, 0, 675, 13500]$ |
\(y^2=x^3+675x+13500\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(-5, 100)]$ |
7200.n1 |
7200bc2 |
7200.n |
7200bc |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.590080$ |
$157464/25$ |
$[0, 0, 0, -675, -5750]$ |
\(y^2=x^3-675x-5750\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
7200.n2 |
7200bc1 |
7200.n |
7200bc |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.243507$ |
$1728/5$ |
$[0, 0, 0, 75, -500]$ |
\(y^2=x^3+75x-500\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
7200.o1 |
7200bl1 |
7200.o |
7200bl |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.2.0.1, 5.15.0.1 |
5Ns |
$40$ |
$60$ |
$3$ |
$2.570891904$ |
$1$ |
|
$2$ |
$1440$ |
$0.060171$ |
$-5000$ |
$[0, 0, 0, -75, -290]$ |
\(y^2=x^3-75x-290\) |
5.15.0.a.1, 8.2.0.a.1, 20.30.0.b.1, 40.60.3.u.1 |
$[(21, 86)]$ |
7200.p1 |
7200w2 |
7200.p |
7200w |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.627702952$ |
$1$ |
|
$7$ |
$3072$ |
$0.416123$ |
$195112/9$ |
$[0, 0, 0, -435, 3350]$ |
\(y^2=x^3-435x+3350\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[(1, 54)]$ |
7200.p2 |
7200w1 |
7200.p |
7200w |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1.255405904$ |
$1$ |
|
$7$ |
$1536$ |
$0.069550$ |
$64/3$ |
$[0, 0, 0, 15, 200]$ |
\(y^2=x^3+15x+200\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[(4, 18)]$ |
7200.q1 |
7200t1 |
7200.q |
7200t |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.611992741$ |
$1$ |
|
$6$ |
$4608$ |
$0.737890$ |
$12800/27$ |
$[0, 0, 0, 600, 9200]$ |
\(y^2=x^3+600x+9200\) |
6.2.0.a.1 |
$[(4, 108)]$ |
7200.r1 |
7200bj1 |
7200.r |
7200bj |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.732148393$ |
$1$ |
|
$4$ |
$1536$ |
$0.296276$ |
$-2560/3$ |
$[0, 0, 0, -120, -880]$ |
\(y^2=x^3-120x-880\) |
6.2.0.a.1 |
$[(16, 36)]$ |
7200.s1 |
7200s1 |
7200.s |
7200s |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.236020967$ |
$1$ |
|
$8$ |
$7680$ |
$1.100994$ |
$-2560/3$ |
$[0, 0, 0, -3000, 110000]$ |
\(y^2=x^3-3000x+110000\) |
6.2.0.a.1 |
$[(100, 900)]$ |
7200.t1 |
7200i1 |
7200.t |
7200i |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.542608$ |
$12800/27$ |
$[0, 0, 0, 15000, -1150000]$ |
\(y^2=x^3+15000x-1150000\) |
6.2.0.a.1 |
$[]$ |
7200.u1 |
7200h2 |
7200.u |
7200h |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.190758$ |
$14526784/15$ |
$[0, 0, 0, -18300, -952000]$ |
\(y^2=x^3-18300x-952000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
7200.u2 |
7200h3 |
7200.u |
7200h |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{10} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.190758$ |
$38614472/405$ |
$[0, 0, 0, -12675, 544250]$ |
\(y^2=x^3-12675x+544250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.7, $\ldots$ |
$[]$ |
7200.u3 |
7200h1 |
7200.u |
7200h |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$0.844184$ |
$438976/225$ |
$[0, 0, 0, -1425, -7000]$ |
\(y^2=x^3-1425x-7000\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.a.1.5, $\ldots$ |
$[]$ |
7200.u4 |
7200h4 |
7200.u |
7200h |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.190758$ |
$2863288/1875$ |
$[0, 0, 0, 5325, -54250]$ |
\(y^2=x^3+5325x-54250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.2, 24.24.0-24.v.1.8, $\ldots$ |
$[]$ |
7200.v1 |
7200bg2 |
7200.v |
7200bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.982689623$ |
$1$ |
|
$3$ |
$4096$ |
$0.736639$ |
$287496$ |
$[0, 0, 0, -2475, -47250]$ |
\(y^2=x^3-2475x-47250\) |
|
$[(70, 350)]$ |
7200.v2 |
7200bg3 |
7200.v |
7200bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.982689623$ |
$1$ |
|
$3$ |
$4096$ |
$0.736639$ |
$287496$ |
$[0, 0, 0, -2475, 47250]$ |
\(y^2=x^3-2475x+47250\) |
|
$[(66, 414)]$ |
7200.v3 |
7200bg1 |
7200.v |
7200bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.143 |
2Cs |
|
|
|
$1.491344811$ |
$1$ |
|
$9$ |
$2048$ |
$0.390066$ |
$1728$ |
$[0, 0, 0, -225, 0]$ |
\(y^2=x^3-225x\) |
|
$[(-9, 36)]$ |
7200.v4 |
7200bg4 |
7200.v |
7200bg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.178 |
2B |
|
|
|
$0.745672405$ |
$1$ |
|
$7$ |
$4096$ |
$0.736639$ |
$1728$ |
$[0, 0, 0, 900, 0]$ |
\(y^2=x^3+900x\) |
|
$[(10, 100)]$ |
7200.w1 |
7200be2 |
7200.w |
7200be |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.077748482$ |
$1$ |
|
$5$ |
$15360$ |
$1.413652$ |
$1728$ |
$[0, 0, 0, -13500, 0]$ |
\(y^2=x^3-13500x\) |
|
$[(-54, 756)]$ |
7200.w2 |
7200be1 |
7200.w |
7200be |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.155496965$ |
$1$ |
|
$3$ |
$7680$ |
$1.067078$ |
$1728$ |
$[0, 0, 0, 3375, 0]$ |
\(y^2=x^3+3375x\) |
|
$[(49, 532)]$ |
7200.x1 |
7200e2 |
7200.x |
7200e |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$5120$ |
$0.864346$ |
$1728$ |
$[0, 0, 0, -1500, 0]$ |
\(y^2=x^3-1500x\) |
|
$[]$ |
7200.x2 |
7200e1 |
7200.x |
7200e |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$2560$ |
$0.517772$ |
$1728$ |
$[0, 0, 0, 375, 0]$ |
\(y^2=x^3+375x\) |
|
$[]$ |
7200.y1 |
7200q1 |
7200.y |
7200q |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.025802940$ |
$1$ |
|
$5$ |
$1024$ |
$-0.012294$ |
$1728$ |
$[0, 0, 0, -45, 0]$ |
\(y^2=x^3-45x\) |
|
$[(9, 18)]$ |
7200.y2 |
7200q2 |
7200.y |
7200q |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.512901470$ |
$1$ |
|
$11$ |
$2048$ |
$0.334280$ |
$1728$ |
$[0, 0, 0, 180, 0]$ |
\(y^2=x^3+180x\) |
|
$[(6, 36)]$ |