| 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 |
| 433200.a1 |
433200a1 |
433200.a |
433200a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{16} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$13.68063389$ |
$1$ |
|
$0$ |
$7257600$ |
$2.010204$ |
$1299125682176/2373046875$ |
$1.05089$ |
$3.61965$ |
$[0, -1, 0, 101967, -18437688]$ |
\(y^2=x^3-x^2+101967x-18437688\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[(2046068/97, 3411476050/97)]$ |
| 433200.b1 |
433200b1 |
433200.b |
433200b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{10} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$2.919984391$ |
$1$ |
|
$2$ |
$9331200$ |
$2.163216$ |
$2195200/57$ |
$0.77412$ |
$3.93987$ |
$[0, -1, 0, -526458, -143514213]$ |
\(y^2=x^3-x^2-526458x-143514213\) |
114.2.0.? |
$[(-367, 361)]$ |
| 433200.c1 |
433200c1 |
433200.c |
433200c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{25} \cdot 3^{4} \cdot 5^{9} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$245846016$ |
$3.802925$ |
$-9082538350921/82944000$ |
$0.98732$ |
$5.49990$ |
$[0, -1, 0, -446921008, 3665319704512]$ |
\(y^2=x^3-x^2-446921008x+3665319704512\) |
40.2.0.a.1 |
$[ ]$ |
| 433200.d1 |
433200d1 |
433200.d |
433200d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{8} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$4.046844413$ |
$1$ |
|
$2$ |
$10368000$ |
$2.307369$ |
$584362240/4617$ |
$0.85724$ |
$4.12212$ |
$[0, -1, 0, -1158208, 476864287]$ |
\(y^2=x^3-x^2-1158208x+476864287\) |
114.2.0.? |
$[(2331, 102163)]$ |
| 433200.e1 |
433200e1 |
433200.e |
433200e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$4.824995789$ |
$1$ |
|
$2$ |
$14008320$ |
$2.375874$ |
$-104272/243$ |
$0.87512$ |
$4.00085$ |
$[0, -1, 0, -400108, 218541712]$ |
\(y^2=x^3-x^2-400108x+218541712\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[(-768, 8500)]$ |
| 433200.f1 |
433200f1 |
433200.f |
433200f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24131520$ |
$2.634315$ |
$-8780800/2187$ |
$1.06525$ |
$4.28788$ |
$[0, -1, 0, -2105833, 1407432037]$ |
\(y^2=x^3-x^2-2105833x+1407432037\) |
6.2.0.a.1 |
$[ ]$ |
| 433200.g1 |
433200g2 |
433200.g |
433200g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{14} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$672399360$ |
$4.294518$ |
$306331959547531/900000000$ |
$1.02107$ |
$5.99663$ |
$[0, -1, 0, -3853100408, -91823173388688]$ |
\(y^2=x^3-x^2-3853100408x-91823173388688\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[ ]$ |
| 433200.g2 |
433200g1 |
433200.g |
433200g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{28} \cdot 3 \cdot 5^{10} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$336199680$ |
$3.947948$ |
$212883113611/122880000$ |
$1.10396$ |
$5.43637$ |
$[0, -1, 0, -341292408, -122842892688]$ |
\(y^2=x^3-x^2-341292408x-122842892688\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[ ]$ |
| 433200.h1 |
433200h2 |
433200.h |
433200h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{3} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$9.232940757$ |
$1$ |
|
$1$ |
$12165120$ |
$2.300098$ |
$81202348906/9747$ |
$0.94325$ |
$4.25610$ |
$[0, -1, 0, -2067928, -1143785648]$ |
\(y^2=x^3-x^2-2067928x-1143785648\) |
2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? |
$[(6909/2, 166751/2)]$ |
| 433200.h2 |
433200h1 |
433200.h |
433200h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$4.616470378$ |
$1$ |
|
$3$ |
$6082560$ |
$1.953524$ |
$-30581492/13851$ |
$0.86289$ |
$3.63977$ |
$[0, -1, 0, -118528, -20931248]$ |
\(y^2=x^3-x^2-118528x-20931248\) |
2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? |
$[(1276, 43632)]$ |
| 433200.i1 |
433200i2 |
433200.i |
433200i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.314435848$ |
$1$ |
|
$7$ |
$819200$ |
$1.131813$ |
$1203052/9$ |
$1.19561$ |
$3.03736$ |
$[0, -1, 0, -10608, -414288]$ |
\(y^2=x^3-x^2-10608x-414288\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[(-58, 50)]$ |
| 433200.i2 |
433200i1 |
433200.i |
433200i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3 \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$2.628871697$ |
$1$ |
|
$5$ |
$409600$ |
$0.785240$ |
$5488/3$ |
$0.87364$ |
$2.51526$ |
$[0, -1, 0, -1108, 3712]$ |
\(y^2=x^3-x^2-1108x+3712\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(57, 350)]$ |
| 433200.j1 |
433200j2 |
433200.j |
433200j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$8.802287817$ |
$1$ |
|
$1$ |
$13271040$ |
$2.394352$ |
$192143824/106875$ |
$0.89049$ |
$4.00203$ |
$[0, -1, 0, -688908, -43147188]$ |
\(y^2=x^3-x^2-688908x-43147188\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[(120377/11, 21260000/11)]$ |
| 433200.j2 |
433200j1 |
433200.j |
433200j |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$17.60457563$ |
$1$ |
|
$1$ |
$6635520$ |
$2.047779$ |
$44957696/27075$ |
$1.24370$ |
$3.67650$ |
$[0, -1, 0, 168467, -5422688]$ |
\(y^2=x^3-x^2+168467x-5422688\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(44108937/704, 1118026274725/704)]$ |
| 433200.k1 |
433200k3 |
433200.k |
433200k |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3 \cdot 5^{6} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$3.961496750$ |
$1$ |
|
$3$ |
$44789760$ |
$3.075588$ |
$8671983378625/82308$ |
$1.00775$ |
$5.04140$ |
$[0, -1, 0, -61806208, -187001401088]$ |
\(y^2=x^3-x^2-61806208x-187001401088\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(46848, 9986704)]$ |
| 433200.k2 |
433200k4 |
433200.k |
433200k |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{6} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$7.922993500$ |
$1$ |
|
$1$ |
$89579520$ |
$3.422161$ |
$-8078253774625/846825858$ |
$1.01015$ |
$5.04877$ |
$[0, -1, 0, -60362208, -196156361088]$ |
\(y^2=x^3-x^2-60362208x-196156361088\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(684618/7, 445600350/7)]$ |
| 433200.k3 |
433200k1 |
433200.k |
433200k |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1.320498916$ |
$1$ |
|
$7$ |
$14929920$ |
$2.526283$ |
$57066625/32832$ |
$1.04766$ |
$4.12212$ |
$[0, -1, 0, -1158208, 37030912]$ |
\(y^2=x^3-x^2-1158208x+37030912\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(-918, 18050)]$ |
| 433200.k4 |
433200k2 |
433200.k |
433200k |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{6} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$2.640997833$ |
$1$ |
|
$5$ |
$29859840$ |
$2.872856$ |
$3616805375/2105352$ |
$1.07346$ |
$4.44180$ |
$[0, -1, 0, 4617792, 291174912]$ |
\(y^2=x^3-x^2+4617792x+291174912\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(298, 41154)]$ |
| 433200.l1 |
433200l2 |
433200.l |
433200l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$760$ |
$48$ |
$1$ |
$8.435959340$ |
$1$ |
|
$7$ |
$2211840$ |
$1.707582$ |
$519388144/164025$ |
$0.91550$ |
$3.39806$ |
$[0, -1, 0, -50508, -2927988]$ |
\(y^2=x^3-x^2-50508x-2927988\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 76.12.0.?, $\ldots$ |
$[(1557, 60750), (257, 1000)]$ |
| 433200.l2 |
433200l1 |
433200.l |
433200l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$760$ |
$48$ |
$1$ |
$8.435959340$ |
$1$ |
|
$5$ |
$1105920$ |
$1.361010$ |
$44957696/50625$ |
$1.04477$ |
$2.99591$ |
$[0, -1, 0, 8867, -315488]$ |
\(y^2=x^3-x^2+8867x-315488\) |
2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$ |
$[(412, 8550), (973/2, 32175/2)]$ |
| 433200.m1 |
433200m2 |
433200.m |
433200m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5^{3} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$3.748766298$ |
$1$ |
|
$3$ |
$6266880$ |
$2.127033$ |
$28662399178/171$ |
$0.93434$ |
$4.17587$ |
$[0, -1, 0, -1461448, 680506192]$ |
\(y^2=x^3-x^2-1461448x+680506192\) |
2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(562, 6030)]$ |
| 433200.m2 |
433200m1 |
433200.m |
433200m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1.874383149$ |
$1$ |
|
$3$ |
$3133440$ |
$1.780458$ |
$-13231796/1083$ |
$0.83591$ |
$3.54087$ |
$[0, -1, 0, -89648, 11067792]$ |
\(y^2=x^3-x^2-89648x+11067792\) |
2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(336, 4332)]$ |
| 433200.n1 |
433200n8 |
433200.n |
433200n |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{15} \cdot 3^{4} \cdot 5^{9} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$21.87392369$ |
$1$ |
|
$1$ |
$95551488$ |
$3.534252$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.62448$ |
$[0, -1, 0, -770160408, -8226334076688]$ |
\(y^2=x^3-x^2-770160408x-8226334076688\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(113300101258/651, 37922546441235014/651)]$ |
| 433200.n2 |
433200n7 |
433200.n |
433200n |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{18} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$5.468480923$ |
$1$ |
|
$3$ |
$95551488$ |
$3.534252$ |
$10316097499609/5859375000$ |
$1.13600$ |
$5.05478$ |
$[0, -1, 0, -65488408, -27741052688]$ |
\(y^2=x^3-x^2-65488408x-27741052688\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(26556, 4118288)]$ |
| 433200.n3 |
433200n6 |
433200.n |
433200n |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{12} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$2280$ |
$384$ |
$5$ |
$10.93696184$ |
$1$ |
|
$3$ |
$47775744$ |
$3.187679$ |
$4102915888729/9000000$ |
$1.05221$ |
$4.98374$ |
$[0, -1, 0, -48160408, -128382076688]$ |
\(y^2=x^3-x^2-48160408x-128382076688\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[(-2050142/23, 77436450/23)]$ |
| 433200.n4 |
433200n4 |
433200.n |
433200n |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{10} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$1.822826974$ |
$1$ |
|
$7$ |
$31850496$ |
$2.984947$ |
$2656166199049/33750$ |
$1.05017$ |
$4.95024$ |
$[0, -1, 0, -41662408, 103518547312]$ |
\(y^2=x^3-x^2-41662408x+103518547312\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(3756, 2888)]$ |
| 433200.n5 |
433200n5 |
433200.n |
433200n |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{13} \cdot 3^{12} \cdot 5^{7} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$7.291307897$ |
$1$ |
|
$1$ |
$31850496$ |
$2.984947$ |
$35578826569/5314410$ |
$1.03393$ |
$4.61794$ |
$[0, -1, 0, -9894408, -10314860688]$ |
\(y^2=x^3-x^2-9894408x-10314860688\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(39922/3, 4908878/3)]$ |
| 433200.n6 |
433200n2 |
433200.n |
433200n |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$2280$ |
$384$ |
$5$ |
$3.645653948$ |
$1$ |
|
$7$ |
$15925248$ |
$2.638371$ |
$702595369/72900$ |
$1.00457$ |
$4.31555$ |
$[0, -1, 0, -2674408, 1525939312]$ |
\(y^2=x^3-x^2-2674408x+1525939312\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[(-518, 52650)]$ |
| 433200.n7 |
433200n3 |
433200.n |
433200n |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{24} \cdot 3 \cdot 5^{9} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$5.468480923$ |
$1$ |
|
$1$ |
$23887872$ |
$2.841103$ |
$-273359449/1536000$ |
$1.04920$ |
$4.42551$ |
$[0, -1, 0, -1952408, -3435644688]$ |
\(y^2=x^3-x^2-1952408x-3435644688\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(96378/7, 6227250/7)]$ |
| 433200.n8 |
433200n1 |
433200.n |
433200n |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{7} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$1.822826974$ |
$1$ |
|
$3$ |
$7962624$ |
$2.291798$ |
$357911/2160$ |
$0.99689$ |
$3.90423$ |
$[0, -1, 0, 213592, 116595312]$ |
\(y^2=x^3-x^2+213592x+116595312\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(1362, 54150)]$ |
| 433200.o1 |
433200o1 |
433200.o |
433200o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{20} \cdot 3^{5} \cdot 5^{10} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$18.70845537$ |
$1$ |
|
$0$ |
$82944000$ |
$3.433128$ |
$-23891790625/1181952$ |
$1.01527$ |
$5.08959$ |
$[0, -1, 0, -74080208, 255714558912]$ |
\(y^2=x^3-x^2-74080208x+255714558912\) |
228.2.0.? |
$[(4989399178/1009, 104480916212774/1009)]$ |
| 433200.p1 |
433200p4 |
433200.p |
433200p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{7} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$760$ |
$48$ |
$0$ |
$3.407509083$ |
$1$ |
|
$3$ |
$106168320$ |
$3.374775$ |
$100162392144121/23457780$ |
$0.97072$ |
$5.22992$ |
$[0, -1, 0, -139710008, -635432857488]$ |
\(y^2=x^3-x^2-139710008x-635432857488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(54828, 12510816)]$ |
| 433200.p2 |
433200p3 |
433200.p |
433200p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{10} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$760$ |
$48$ |
$0$ |
$3.407509083$ |
$1$ |
|
$3$ |
$106168320$ |
$3.374775$ |
$9912050027641/311647500$ |
$0.95744$ |
$5.05170$ |
$[0, -1, 0, -64622008, 194462822512]$ |
\(y^2=x^3-x^2-64622008x+194462822512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 20.12.0-4.c.1.2, 40.24.0-40.z.1.7, $\ldots$ |
$[(-6238, 595650)]$ |
| 433200.p3 |
433200p2 |
433200.p |
433200p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$380$ |
$48$ |
$0$ |
$6.815018166$ |
$1$ |
|
$3$ |
$53084160$ |
$3.028198$ |
$34043726521/11696400$ |
$0.92900$ |
$4.61454$ |
$[0, -1, 0, -9750008, -7466137488]$ |
\(y^2=x^3-x^2-9750008x-7466137488\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 20.24.0-20.b.1.4, 76.24.0.?, 380.48.0.? |
$[(23933/2, 3081375/2)]$ |
| 433200.p4 |
433200p1 |
433200.p |
433200p |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 5^{7} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$760$ |
$48$ |
$0$ |
$3.407509083$ |
$1$ |
|
$3$ |
$26542080$ |
$2.681625$ |
$214921799/218880$ |
$0.88983$ |
$4.22429$ |
$[0, -1, 0, 1801992, -812185488]$ |
\(y^2=x^3-x^2+1801992x-812185488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 20.12.0-4.c.1.1, 40.24.0-40.z.1.15, $\ldots$ |
$[(5532, 422400)]$ |
| 433200.q1 |
433200q1 |
433200.q |
433200q |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1.998929902$ |
$1$ |
|
$2$ |
$85248$ |
$-0.095160$ |
$4864/3$ |
$0.69252$ |
$1.69346$ |
$[0, -1, 0, 32, 7]$ |
\(y^2=x^3-x^2+32x+7\) |
30.2.0.a.1 |
$[(3, 11)]$ |
| 433200.r1 |
433200r1 |
433200.r |
433200r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.009407$ |
$160000/57$ |
$0.80004$ |
$2.74606$ |
$[0, -1, 0, -3008, -38373]$ |
\(y^2=x^3-x^2-3008x-38373\) |
114.2.0.? |
$[ ]$ |
| 433200.s1 |
433200s1 |
433200.s |
433200s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31104000$ |
$2.935047$ |
$3930400000/1666737$ |
$1.02560$ |
$4.51697$ |
$[0, -1, 0, -6392708, -3213819213]$ |
\(y^2=x^3-x^2-6392708x-3213819213\) |
114.2.0.? |
$[ ]$ |
| 433200.t1 |
433200t1 |
433200.t |
433200t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47278080$ |
$3.201145$ |
$205083359/314928$ |
$1.00799$ |
$4.71315$ |
$[0, -1, 0, 12631992, 22216726512]$ |
\(y^2=x^3-x^2+12631992x+22216726512\) |
6.2.0.a.1 |
$[ ]$ |
| 433200.u1 |
433200u1 |
433200.u |
433200u |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$0.489720$ |
$38912/27$ |
$0.92397$ |
$2.22569$ |
$[0, -1, 0, 317, 862]$ |
\(y^2=x^3-x^2+317x+862\) |
6.2.0.a.1 |
$[ ]$ |
| 433200.v1 |
433200v1 |
433200.v |
433200v |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7464960$ |
$2.260262$ |
$-81415168/13851$ |
$0.91437$ |
$3.95573$ |
$[0, -1, 0, -517433, 163137237]$ |
\(y^2=x^3-x^2-517433x+163137237\) |
38.2.0.a.1 |
$[ ]$ |
| 433200.w1 |
433200w1 |
433200.w |
433200w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7257600$ |
$2.366714$ |
$132893440/41553$ |
$0.85164$ |
$4.00801$ |
$[0, -1, 0, -706958, -154885713]$ |
\(y^2=x^3-x^2-706958x-154885713\) |
114.2.0.? |
$[ ]$ |
| 433200.x1 |
433200x1 |
433200.x |
433200x |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{19} \cdot 5^{8} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$27578880$ |
$3.069160$ |
$-351119534556135424/29056536675$ |
$1.10710$ |
$4.97783$ |
$[0, -1, 0, -46942033, -123784741688]$ |
\(y^2=x^3-x^2-46942033x-123784741688\) |
6.2.0.a.1 |
$[ ]$ |
| 433200.y1 |
433200y1 |
433200.y |
433200y |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$8.119856940$ |
$1$ |
|
$0$ |
$4377600$ |
$1.876141$ |
$15573760/27$ |
$0.87287$ |
$3.77939$ |
$[0, -1, 0, -262928, 51902307]$ |
\(y^2=x^3-x^2-262928x+51902307\) |
114.2.0.? |
$[(679/3, 153899/3)]$ |
| 433200.z1 |
433200z1 |
433200.z |
433200z |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{13} \cdot 3^{10} \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.057406902$ |
$1$ |
|
$2$ |
$78796800$ |
$3.418835$ |
$-442458985/118098$ |
$0.93891$ |
$5.01087$ |
$[0, -1, 0, -47727208, 153426652912]$ |
\(y^2=x^3-x^2-47727208x+153426652912\) |
8.2.0.a.1 |
$[(4573, 175446)]$ |
| 433200.ba1 |
433200ba1 |
433200.ba |
433200ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{8} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$5.943512207$ |
$1$ |
|
$2$ |
$19699200$ |
$2.832001$ |
$95/162$ |
$1.32287$ |
$4.41413$ |
$[0, -1, 0, 285792, -3191753088]$ |
\(y^2=x^3-x^2+285792x-3191753088\) |
8.2.0.a.1 |
$[(18642, 2545650)]$ |
| 433200.bb1 |
433200bb1 |
433200.bb |
433200bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{10} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11059200$ |
$2.407043$ |
$-100/57$ |
$0.88691$ |
$4.02122$ |
$[0, -1, 0, -75208, 249298912]$ |
\(y^2=x^3-x^2-75208x+249298912\) |
228.2.0.? |
$[ ]$ |
| 433200.bc1 |
433200bc2 |
433200.bc |
433200bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{11} \cdot 3 \cdot 5^{9} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$58368000$ |
$3.247280$ |
$112363774/3$ |
$0.94220$ |
$5.17351$ |
$[0, -1, 0, -109458208, 440805034912]$ |
\(y^2=x^3-x^2-109458208x+440805034912\) |
2.3.0.a.1, 24.6.0.j.1, 380.6.0.?, 2280.12.0.? |
$[ ]$ |
| 433200.bc2 |
433200bc1 |
433200.bc |
433200bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$29184000$ |
$2.900707$ |
$-48668/9$ |
$0.80389$ |
$4.54478$ |
$[0, -1, 0, -6573208, 7453414912]$ |
\(y^2=x^3-x^2-6573208x+7453414912\) |
2.3.0.a.1, 24.6.0.j.1, 190.6.0.?, 2280.12.0.? |
$[ ]$ |
| 433200.bd1 |
433200bd1 |
433200.bd |
433200bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{17} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15206400$ |
$2.601761$ |
$70107585212548096/439453125$ |
$1.03999$ |
$4.61358$ |
$[0, -1, 0, -9709633, -11642045363]$ |
\(y^2=x^3-x^2-9709633x-11642045363\) |
10.2.0.a.1 |
$[ ]$ |
