| 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 |
| 14400.a1 |
14400cp1 |
14400.a |
14400cp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{13} \cdot 5^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.204367359$ |
$1$ |
|
$2$ |
$43008$ |
$1.253258$ |
$-8780800/2187$ |
$1.06525$ |
$4.08142$ |
$[0, 0, 0, -8400, -354400]$ |
\(y^2=x^3-8400x-354400\) |
6.2.0.a.1 |
$[(145, 1215)]$ |
| 14400.b1 |
14400dm1 |
14400.b |
14400dm |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$2.388296788$ |
$1$ |
|
$2$ |
$5760$ |
$0.373068$ |
$0$ |
|
$2.90183$ |
$[0, 0, 0, 0, -1250]$ |
\(y^2=x^3-1250\) |
|
$[(11, 9)]$ |
| 14400.b2 |
14400dm2 |
14400.b |
14400dm |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$0.796098929$ |
$1$ |
|
$2$ |
$17280$ |
$0.922374$ |
$0$ |
|
$3.59025$ |
$[0, 0, 0, 0, 33750]$ |
\(y^2=x^3+33750\) |
|
$[(75, 675)]$ |
| 14400.c1 |
14400m2 |
14400.c |
14400m |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$2.117026352$ |
$1$ |
|
$2$ |
$3456$ |
$0.117655$ |
$0$ |
|
$2.58173$ |
$[0, 0, 0, 0, -270]$ |
\(y^2=x^3-270\) |
|
$[(39, 243)]$ |
| 14400.c2 |
14400m1 |
14400.c |
14400m |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$0.705675450$ |
$1$ |
|
$2$ |
$1152$ |
$-0.431651$ |
$0$ |
|
$1.89330$ |
$[0, 0, 0, 0, 10]$ |
\(y^2=x^3+10\) |
|
$[(-1, 3)]$ |
| 14400.d1 |
14400ei1 |
14400.d |
14400ei |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{13} \cdot 5^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.459544403$ |
$1$ |
|
$2$ |
$215040$ |
$2.057976$ |
$-8780800/2187$ |
$1.06525$ |
$5.08994$ |
$[0, 0, 0, -210000, 44300000]$ |
\(y^2=x^3-210000x+44300000\) |
6.2.0.a.1 |
$[(-239, 8991)]$ |
| 14400.e1 |
14400t2 |
14400.e |
14400t |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$0.865575866$ |
$1$ |
|
$21$ |
$8192$ |
$0.520642$ |
$1000188$ |
$1.00277$ |
$3.44964$ |
$[0, 0, 0, -1260, 17200]$ |
\(y^2=x^3-1260x+17200\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.n.1, 20.12.0.o.1, $\ldots$ |
$[(30, 80), (-34, 144)]$ |
| 14400.e2 |
14400t1 |
14400.e |
14400t |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$0.865575866$ |
$1$ |
|
$19$ |
$4096$ |
$0.174069$ |
$-432$ |
$0.69897$ |
$2.66382$ |
$[0, 0, 0, -60, 400]$ |
\(y^2=x^3-60x+400\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.o.1, 20.12.0.o.1, $\ldots$ |
$[(0, 20), (6, 16)]$ |
| 14400.f1 |
14400bt3 |
14400.f |
14400bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$0.446641552$ |
$1$ |
|
$31$ |
$32768$ |
$1.274378$ |
$7301384/3$ |
$1.03749$ |
$4.43333$ |
$[0, 0, 0, -29100, 1910000]$ |
\(y^2=x^3-29100x+1910000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.5, $\ldots$ |
$[(94, 72), (110, 200)]$ |
| 14400.f2 |
14400bt2 |
14400.f |
14400bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$120$ |
$48$ |
$0$ |
$1.786566211$ |
$1$ |
|
$33$ |
$16384$ |
$0.927805$ |
$21952/9$ |
$1.09175$ |
$3.60969$ |
$[0, 0, 0, -2100, 20000]$ |
\(y^2=x^3-2100x+20000\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 24.24.0.f.1, $\ldots$ |
$[(85, 675), (4, 108)]$ |
| 14400.f3 |
14400bt1 |
14400.f |
14400bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$7.146264844$ |
$1$ |
|
$7$ |
$8192$ |
$0.581231$ |
$140608/3$ |
$1.02705$ |
$3.36929$ |
$[0, 0, 0, -975, -11500]$ |
\(y^2=x^3-975x-11500\) |
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, $\ldots$ |
$[(-16, 2), (80, 650)]$ |
| 14400.f4 |
14400bt4 |
14400.f |
14400bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 5^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1.786566211$ |
$1$ |
|
$21$ |
$32768$ |
$1.274378$ |
$97336/81$ |
$1.05989$ |
$3.98240$ |
$[0, 0, 0, 6900, 146000]$ |
\(y^2=x^3+6900x+146000\) |
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.1.4, $\ldots$ |
$[(34, 648), (-14, 216)]$ |
| 14400.g1 |
14400eh3 |
14400.g |
14400eh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$240$ |
$192$ |
$3$ |
$3.400267571$ |
$1$ |
|
$5$ |
$49152$ |
$1.498384$ |
$132304644/5$ |
$1.13632$ |
$4.80829$ |
$[0, 0, 0, -96300, -11502000]$ |
\(y^2=x^3-96300x-11502000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[(-179, 19)]$ |
| 14400.g2 |
14400eh2 |
14400.g |
14400eh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$120$ |
$192$ |
$3$ |
$1.700133785$ |
$1$ |
|
$11$ |
$24576$ |
$1.151812$ |
$148176/25$ |
$1.09175$ |
$3.95390$ |
$[0, 0, 0, -6300, -162000]$ |
\(y^2=x^3-6300x-162000\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 24.48.0-8.g.1.3, $\ldots$ |
$[(-54, 144)]$ |
| 14400.g3 |
14400eh1 |
14400.g |
14400eh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$240$ |
$192$ |
$3$ |
$0.850066892$ |
$1$ |
|
$7$ |
$12288$ |
$0.805238$ |
$55296/5$ |
$1.01898$ |
$3.56139$ |
$[0, 0, 0, -1800, 27000]$ |
\(y^2=x^3-1800x+27000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[(10, 100)]$ |
| 14400.g4 |
14400eh4 |
14400.g |
14400eh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{16} \cdot 3^{6} \cdot 5^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$240$ |
$192$ |
$3$ |
$3.400267571$ |
$1$ |
|
$5$ |
$49152$ |
$1.498384$ |
$237276/625$ |
$1.04671$ |
$4.28022$ |
$[0, 0, 0, 11700, -918000]$ |
\(y^2=x^3+11700x-918000\) |
2.3.0.a.1, 4.24.0.c.1, 24.48.0-4.c.1.3, 40.48.1.dk.1, 80.96.3.?, $\ldots$ |
$[(96, 1044)]$ |
| 14400.h1 |
14400co1 |
14400.h |
14400co |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$240$ |
$96$ |
$1$ |
$1.858277598$ |
$1$ |
|
$5$ |
$6144$ |
$0.460628$ |
$131072/9$ |
$1.20155$ |
$3.14726$ |
$[0, 0, 0, -480, -3800]$ |
\(y^2=x^3-480x-3800\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 12.12.0.n.1, $\ldots$ |
$[(-15, 5)]$ |
| 14400.h2 |
14400co2 |
14400.h |
14400co |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$240$ |
$96$ |
$1$ |
$0.929138799$ |
$1$ |
|
$9$ |
$12288$ |
$0.807201$ |
$5488/81$ |
$1.00175$ |
$3.43951$ |
$[0, 0, 0, 420, -16400]$ |
\(y^2=x^3+420x-16400\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 24.24.0.eb.1, $\ldots$ |
$[(50, 360)]$ |
| 14400.i1 |
14400dl2 |
14400.i |
14400dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$4.094260128$ |
$1$ |
|
$3$ |
$122880$ |
$1.874668$ |
$1000188$ |
$1.00277$ |
$5.14659$ |
$[0, 0, 0, -283500, 58050000]$ |
\(y^2=x^3-283500x+58050000\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.n.1, 20.12.0.o.1, $\ldots$ |
$[(316, 136)]$ |
| 14400.i2 |
14400dl1 |
14400.i |
14400dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$2.047130064$ |
$1$ |
|
$5$ |
$61440$ |
$1.528093$ |
$-432$ |
$0.69897$ |
$4.36078$ |
$[0, 0, 0, -13500, 1350000]$ |
\(y^2=x^3-13500x+1350000\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.o.1, 20.12.0.o.1, $\ldots$ |
$[(66, 864)]$ |
| 14400.j1 |
14400bu3 |
14400.j |
14400bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.266239$ |
$26410345352/10546875$ |
$1.03973$ |
$5.28905$ |
$[0, 0, 0, -446700, -63974000]$ |
\(y^2=x^3-446700x-63974000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.7, $\ldots$ |
$[ ]$ |
| 14400.j2 |
14400bu2 |
14400.j |
14400bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.919666$ |
$20034997696/455625$ |
$1.03014$ |
$5.04302$ |
$[0, 0, 0, -203700, 34684000]$ |
\(y^2=x^3-203700x+34684000\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 24.24.0.f.1, $\ldots$ |
$[ ]$ |
| 14400.j3 |
14400bu1 |
14400.j |
14400bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.573092$ |
$1261112198464/675$ |
$1.05532$ |
$5.04128$ |
$[0, 0, 0, -202575, 35093500]$ |
\(y^2=x^3-202575x+35093500\) |
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, $\ldots$ |
$[ ]$ |
| 14400.j4 |
14400bu4 |
14400.j |
14400bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{18} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.266239$ |
$2863288/13286025$ |
$1.17383$ |
$5.27440$ |
$[0, 0, 0, 21300, 107134000]$ |
\(y^2=x^3+21300x+107134000\) |
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.1.4, $\ldots$ |
$[ ]$ |
| 14400.k1 |
14400bs4 |
14400.k |
14400bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$120$ |
$48$ |
$0$ |
$0.757770592$ |
$1$ |
|
$27$ |
$98304$ |
$1.770002$ |
$546718898/405$ |
$0.99169$ |
$5.02886$ |
$[0, 0, 0, -194700, 33046000]$ |
\(y^2=x^3-194700x+33046000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.y.1.11, 40.24.0-40.v.1.6, $\ldots$ |
$[(270, 400), (206, 1296)]$ |
| 14400.k2 |
14400bs3 |
14400.k |
14400bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$120$ |
$48$ |
$0$ |
$3.031082370$ |
$1$ |
|
$19$ |
$98304$ |
$1.770002$ |
$136835858/1875$ |
$0.97925$ |
$4.88420$ |
$[0, 0, 0, -122700, -16346000]$ |
\(y^2=x^3-122700x-16346000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.s.1.7, 40.24.0-40.bb.1.4, $\ldots$ |
$[(-210, 400), (590, 10800)]$ |
| 14400.k3 |
14400bs2 |
14400.k |
14400bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$120$ |
$48$ |
$0$ |
$3.031082370$ |
$1$ |
|
$27$ |
$49152$ |
$1.423428$ |
$470596/225$ |
$1.13245$ |
$4.21937$ |
$[0, 0, 0, -14700, 286000]$ |
\(y^2=x^3-14700x+286000\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 24.24.0-24.b.1.8, 40.24.0-40.a.1.7, 60.24.0-60.b.1.7, $\ldots$ |
$[(-40, 900), (14, 288)]$ |
| 14400.k4 |
14400bs1 |
14400.k |
14400bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$120$ |
$48$ |
$0$ |
$0.757770592$ |
$1$ |
|
$29$ |
$24576$ |
$1.076855$ |
$21296/15$ |
$0.85611$ |
$3.75130$ |
$[0, 0, 0, 3300, 34000]$ |
\(y^2=x^3+3300x+34000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 24.24.0-24.y.1.3, 30.6.0.a.1, $\ldots$ |
$[(5, 225), (30, 400)]$ |
| 14400.l1 |
14400fi2 |
14400.l |
14400fi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.097397$ |
$2156689088/81$ |
$1.10723$ |
$4.30597$ |
$[0, 0, 0, -19380, -1038400]$ |
\(y^2=x^3-19380x-1038400\) |
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, $\ldots$ |
$[ ]$ |
| 14400.l2 |
14400fi1 |
14400.l |
14400fi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{14} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.750823$ |
$-29218112/6561$ |
$1.09201$ |
$3.45662$ |
$[0, 0, 0, -1155, -17800]$ |
\(y^2=x^3-1155x-17800\) |
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, $\ldots$ |
$[ ]$ |
| 14400.m1 |
14400eg4 |
14400.m |
14400eg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.19 |
2B |
$240$ |
$192$ |
$3$ |
$0.796911017$ |
$1$ |
|
$11$ |
$98304$ |
$1.792917$ |
$23937672968/45$ |
$1.01090$ |
$5.27878$ |
$[0, 0, 0, -432300, 109402000]$ |
\(y^2=x^3-432300x+109402000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.3, $\ldots$ |
$[(386, 216)]$ |
| 14400.m2 |
14400eg3 |
14400.m |
14400eg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{14} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.19 |
2B |
$240$ |
$192$ |
$3$ |
$3.187644069$ |
$1$ |
|
$5$ |
$98304$ |
$1.792917$ |
$111980168/32805$ |
$0.98174$ |
$4.71848$ |
$[0, 0, 0, -72300, -5258000]$ |
\(y^2=x^3-72300x-5258000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.3, $\ldots$ |
$[(509, 9477)]$ |
| 14400.m3 |
14400eg2 |
14400.m |
14400eg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.27 |
2Cs |
$240$ |
$192$ |
$3$ |
$1.593822034$ |
$1$ |
|
$11$ |
$49152$ |
$1.446344$ |
$48228544/2025$ |
$1.02099$ |
$4.41333$ |
$[0, 0, 0, -27300, 1672000]$ |
\(y^2=x^3-27300x+1672000\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.5, 12.24.0-4.a.1.2, 24.48.0-24.j.1.5, $\ldots$ |
$[(60, 500)]$ |
| 14400.m4 |
14400eg1 |
14400.m |
14400eg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 5^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.66 |
2B |
$240$ |
$192$ |
$3$ |
$3.187644069$ |
$1$ |
|
$3$ |
$24576$ |
$1.099771$ |
$85184/5625$ |
$1.15009$ |
$3.81077$ |
$[0, 0, 0, 825, 97000]$ |
\(y^2=x^3+825x+97000\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.5, 20.24.0-4.d.1.2, 24.48.0-24.z.1.6, $\ldots$ |
$[(-4, 306)]$ |
| 14400.n1 |
14400cz4 |
14400.n |
14400cz |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.231756$ |
$54000$ |
$1.02720$ |
$4.19269$ |
$[0, 0, 0, -13500, 594000]$ |
\(y^2=x^3-13500x+594000\) |
|
$[ ]$ |
| 14400.n2 |
14400cz2 |
14400.n |
14400cz |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.682451$ |
$54000$ |
$1.02720$ |
$3.50426$ |
$[0, 0, 0, -1500, -22000]$ |
\(y^2=x^3-1500x-22000\) |
|
$[ ]$ |
| 14400.n3 |
14400cz1 |
14400.n |
14400cz |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.83 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.335877$ |
$0$ |
|
$2.85522$ |
$[0, 0, 0, 0, -1000]$ |
\(y^2=x^3-1000\) |
|
$[ ]$ |
| 14400.n4 |
14400cz3 |
14400.n |
14400cz |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.83 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$13824$ |
$0.885183$ |
$0$ |
|
$3.54364$ |
$[0, 0, 0, 0, 27000]$ |
\(y^2=x^3+27000\) |
|
$[ ]$ |
| 14400.o1 |
14400ef7 |
14400.o |
14400ef |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{21} \cdot 3^{10} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.14, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$5.081321813$ |
$1$ |
|
$3$ |
$884736$ |
$2.957912$ |
$16778985534208729/81000$ |
$1.08181$ |
$6.90172$ |
$[0, 0, 0, -76802700, -259067446000]$ |
\(y^2=x^3-76802700x-259067446000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.1, $\ldots$ |
$[(14434, 1280448)]$ |
| 14400.o2 |
14400ef8 |
14400.o |
14400ef |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{21} \cdot 3^{7} \cdot 5^{18} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.14, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$5.081321813$ |
$1$ |
|
$3$ |
$884736$ |
$2.957912$ |
$10316097499609/5859375000$ |
$1.13600$ |
$6.12948$ |
$[0, 0, 0, -6530700, -874294000]$ |
\(y^2=x^3-6530700x-874294000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.1, $\ldots$ |
$[(-1715, 72675)]$ |
| 14400.o3 |
14400ef6 |
14400.o |
14400ef |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{12} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.2, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$10.16264362$ |
$1$ |
|
$3$ |
$442368$ |
$2.611340$ |
$4102915888729/9000000$ |
$1.05221$ |
$6.03319$ |
$[0, 0, 0, -4802700, -4043446000]$ |
\(y^2=x^3-4802700x-4043446000\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.2, 6.24.0.a.1, 12.96.0-12.a.1.12, $\ldots$ |
$[(1302706/19, 1097800704/19)]$ |
| 14400.o4 |
14400ef5 |
14400.o |
14400ef |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{19} \cdot 3^{9} \cdot 5^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.14, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1.693773937$ |
$1$ |
|
$5$ |
$294912$ |
$2.408607$ |
$2656166199049/33750$ |
$1.05017$ |
$5.98778$ |
$[0, 0, 0, -4154700, 3259514000]$ |
\(y^2=x^3-4154700x+3259514000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.1, $\ldots$ |
$[(1165, 675)]$ |
| 14400.o5 |
14400ef4 |
14400.o |
14400ef |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{19} \cdot 3^{18} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.14, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1.693773937$ |
$1$ |
|
$7$ |
$294912$ |
$2.408607$ |
$35578826569/5314410$ |
$1.03393$ |
$5.53734$ |
$[0, 0, 0, -986700, -324934000]$ |
\(y^2=x^3-986700x-324934000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.1, $\ldots$ |
$[(-590, 7200)]$ |
| 14400.o6 |
14400ef2 |
14400.o |
14400ef |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{12} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.2, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$3.387547875$ |
$1$ |
|
$7$ |
$147456$ |
$2.062031$ |
$702595369/72900$ |
$1.00457$ |
$5.12745$ |
$[0, 0, 0, -266700, 48026000]$ |
\(y^2=x^3-266700x+48026000\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.2, 6.24.0.a.1, 12.96.0-12.a.2.6, $\ldots$ |
$[(620, 11000)]$ |
| 14400.o7 |
14400ef3 |
14400.o |
14400ef |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{30} \cdot 3^{7} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.14, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$5.081321813$ |
$1$ |
|
$3$ |
$221184$ |
$2.264763$ |
$-273359449/1536000$ |
$1.04920$ |
$5.27650$ |
$[0, 0, 0, -194700, -108214000]$ |
\(y^2=x^3-194700x-108214000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.1, $\ldots$ |
$[(15820, 1989000)]$ |
| 14400.o8 |
14400ef1 |
14400.o |
14400ef |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{22} \cdot 3^{9} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.14, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1.693773937$ |
$1$ |
|
$5$ |
$73728$ |
$1.715458$ |
$357911/2160$ |
$0.99689$ |
$4.56990$ |
$[0, 0, 0, 21300, 3674000]$ |
\(y^2=x^3+21300x+3674000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.1, $\ldots$ |
$[(-20, 1800)]$ |
| 14400.p1 |
14400fh2 |
14400.p |
14400fh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.135 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.902115$ |
$2156689088/81$ |
$1.10723$ |
$5.31450$ |
$[0, 0, 0, -484500, 129800000]$ |
\(y^2=x^3-484500x+129800000\) |
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, $\ldots$ |
$[ ]$ |
| 14400.p2 |
14400fh1 |
14400.p |
14400fh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{14} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.131 |
2B |
$240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.555542$ |
$-29218112/6561$ |
$1.09201$ |
$4.46514$ |
$[0, 0, 0, -28875, 2225000]$ |
\(y^2=x^3-28875x+2225000\) |
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, $\ldots$ |
$[ ]$ |
| 14400.q1 |
14400s2 |
14400.q |
14400s |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.069948$ |
$1000188$ |
$1.00277$ |
$4.13806$ |
$[0, 0, 0, -11340, -464400]$ |
\(y^2=x^3-11340x-464400\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.n.1, 20.12.0.o.1, $\ldots$ |
$[ ]$ |
| 14400.q2 |
14400s1 |
14400.q |
14400s |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.30 |
2B |
$120$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.723375$ |
$-432$ |
$0.69897$ |
$3.35225$ |
$[0, 0, 0, -540, -10800]$ |
\(y^2=x^3-540x-10800\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 12.12.0.o.1, 20.12.0.o.1, $\ldots$ |
$[ ]$ |
