| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 1584.a1 |
1584e1 |
1584.a |
1584e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{13} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5376$ |
$1.310019$ |
$55635379958596/24057$ |
$1.02905$ |
$6.13121$ |
$1$ |
$[0, 0, 0, -72147, -7458910]$ |
\(y^2=x^3-72147x-7458910\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[ ]$ |
$1$ |
| 1584.a2 |
1584e2 |
1584.a |
1584e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{20} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$1.656591$ |
$-27403349188178/578739249$ |
$1.02957$ |
$6.13404$ |
$1$ |
$[0, 0, 0, -71787, -7537030]$ |
\(y^2=x^3-71787x-7537030\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[ ]$ |
$1$ |
| 1584.b1 |
1584k2 |
1584.b |
1584k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.037460680$ |
$1$ |
|
$7$ |
$512$ |
$0.204457$ |
$19034163/121$ |
$0.94120$ |
$3.85131$ |
$1$ |
$[0, 0, 0, -267, -1670]$ |
\(y^2=x^3-267x-1670\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(-9, 2)]$ |
$1$ |
| 1584.b2 |
1584k1 |
1584.b |
1584k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.518730340$ |
$1$ |
|
$9$ |
$256$ |
$-0.142117$ |
$19683/11$ |
$1.13667$ |
$2.91829$ |
$1$ |
$[0, 0, 0, -27, 10]$ |
\(y^2=x^3-27x+10\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(-3, 8)]$ |
$1$ |
| 1584.c1 |
1584m2 |
1584.c |
1584m |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{11} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.996652671$ |
$1$ |
|
$5$ |
$1920$ |
$0.964669$ |
$932410994128/29403$ |
$0.99766$ |
$5.38809$ |
$1$ |
$[0, 0, 0, -11631, 482794]$ |
\(y^2=x^3-11631x+482794\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(50, 162)]$ |
$1$ |
| 1584.c2 |
1584m1 |
1584.c |
1584m |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{16} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.993305343$ |
$1$ |
|
$3$ |
$960$ |
$0.618095$ |
$-3196715008/649539$ |
$1.08791$ |
$4.28228$ |
$1$ |
$[0, 0, 0, -696, 8215]$ |
\(y^2=x^3-696x+8215\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(17, 36)]$ |
$1$ |
| 1584.d1 |
1584g3 |
1584.d |
1584g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$0.441181952$ |
$1$ |
|
$11$ |
$1024$ |
$0.761719$ |
$5690357426/891$ |
$0.97486$ |
$4.97825$ |
$2$ |
$[0, 0, 0, -4251, 106666]$ |
\(y^2=x^3-4251x+106666\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 88.24.0.?, $\ldots$ |
$[(41, 36)]$ |
$1$ |
| 1584.d2 |
1584g2 |
1584.d |
1584g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$0.882363905$ |
$1$ |
|
$13$ |
$512$ |
$0.415145$ |
$3650692/1089$ |
$0.89911$ |
$3.88636$ |
$1$ |
$[0, 0, 0, -291, 1330]$ |
\(y^2=x^3-291x+1330\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.1, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[(3, 22)]$ |
$1$ |
| 1584.d3 |
1584g1 |
1584.d |
1584g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1.764727810$ |
$1$ |
|
$5$ |
$256$ |
$0.068572$ |
$810448/33$ |
$0.82188$ |
$3.49392$ |
$2$ |
$[0, 0, 0, -111, -434]$ |
\(y^2=x^3-111x-434\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[(-6, 4)]$ |
$1$ |
| 1584.d4 |
1584g4 |
1584.d |
1584g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{7} \cdot 11^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1.764727810$ |
$1$ |
|
$11$ |
$1024$ |
$0.761719$ |
$36382894/43923$ |
$0.96093$ |
$4.30371$ |
$1$ |
$[0, 0, 0, 789, 8890]$ |
\(y^2=x^3+789x+8890\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 88.24.0.?, 264.48.0.? |
$[(-1, 90)]$ |
$1$ |
| 1584.e1 |
1584r2 |
1584.e |
1584r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.198013$ |
$810448/363$ |
$0.86847$ |
$3.49392$ |
$1$ |
$[0, 0, 0, -111, -214]$ |
\(y^2=x^3-111x-214\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[ ]$ |
$1$ |
| 1584.e2 |
1584r1 |
1584.e |
1584r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$-0.148561$ |
$131072/99$ |
$1.36072$ |
$2.87033$ |
$1$ |
$[0, 0, 0, 24, -25]$ |
\(y^2=x^3+24x-25\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[ ]$ |
$1$ |
| 1584.f1 |
1584n3 |
1584.f |
1584n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{13} \cdot 3^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$4.297259239$ |
$1$ |
|
$3$ |
$3072$ |
$1.147499$ |
$4824238966273/66$ |
$1.02376$ |
$5.98749$ |
$2$ |
$[0, 0, 0, -50691, -4392830]$ |
\(y^2=x^3-50691x-4392830\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 44.12.0-4.c.1.2, $\ldots$ |
$[(311, 3150)]$ |
$1$ |
| 1584.f2 |
1584n2 |
1584.f |
1584n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.148629619$ |
$1$ |
|
$9$ |
$1536$ |
$0.800926$ |
$1180932193/4356$ |
$0.96736$ |
$4.85891$ |
$1$ |
$[0, 0, 0, -3171, -68510]$ |
\(y^2=x^3-3171x-68510\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 44.12.0-2.a.1.1, $\ldots$ |
$[(-33, 14)]$ |
$1$ |
| 1584.f3 |
1584n4 |
1584.f |
1584n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{13} \cdot 3^{10} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1.074314809$ |
$1$ |
|
$7$ |
$3072$ |
$1.147499$ |
$-192100033/2371842$ |
$1.02507$ |
$5.03401$ |
$2$ |
$[0, 0, 0, -1731, -131006]$ |
\(y^2=x^3-1731x-131006\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$ |
$[(89, 648)]$ |
$1$ |
| 1584.f4 |
1584n1 |
1584.f |
1584n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1.074314809$ |
$1$ |
|
$7$ |
$768$ |
$0.454352$ |
$912673/528$ |
$1.18336$ |
$3.88636$ |
$2$ |
$[0, 0, 0, -291, 34]$ |
\(y^2=x^3-291x+34\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$ |
$[(-1, 18)]$ |
$1$ |
| 1584.g1 |
1584p3 |
1584.g |
1584p |
$3$ |
$25$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$3300$ |
$1200$ |
$37$ |
$1$ |
$25$ |
$5$ |
$0$ |
$6000$ |
$1.739162$ |
$-52893159101157376/11$ |
$1.09296$ |
$7.25008$ |
$1$ |
$[0, 0, 0, -1126128, -459970256]$ |
\(y^2=x^3-1126128x-459970256\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 60.24.0-5.a.2.2, 110.24.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.g2 |
1584p2 |
1584.g |
1584p |
$3$ |
$25$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$3300$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$1200$ |
$0.934443$ |
$-122023936/161051$ |
$1.01300$ |
$4.71208$ |
$1$ |
$[0, 0, 0, -1488, -40016]$ |
\(y^2=x^3-1488x-40016\) |
5.60.0.a.1, 22.2.0.a.1, 60.120.0-5.a.1.2, 110.120.5.?, 275.300.12.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.g3 |
1584p1 |
1584.g |
1584p |
$3$ |
$25$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$3300$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$240$ |
$0.129725$ |
$-4096/11$ |
$0.82546$ |
$3.38738$ |
$1$ |
$[0, 0, 0, -48, 304]$ |
\(y^2=x^3-48x+304\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 60.24.0-5.a.1.2, 110.24.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.h1 |
1584l3 |
1584.h |
1584l |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{7} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1.474317571$ |
$1$ |
|
$7$ |
$2304$ |
$1.132376$ |
$57736239625/255552$ |
$0.99775$ |
$5.38683$ |
$1$ |
$[0, 0, 0, -11595, -478726]$ |
\(y^2=x^3-11595x-478726\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.3, $\ldots$ |
$[(-65, 18)]$ |
$1$ |
| 1584.h2 |
1584l4 |
1584.h |
1584l |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$2.948635142$ |
$1$ |
|
$5$ |
$4608$ |
$1.478951$ |
$-7357983625/127552392$ |
$1.05287$ |
$5.57311$ |
$1$ |
$[0, 0, 0, -5835, -954502]$ |
\(y^2=x^3-5835x-954502\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.3, $\ldots$ |
$[(127, 594)]$ |
$1$ |
| 1584.h3 |
1584l1 |
1584.h |
1584l |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$0.491439190$ |
$1$ |
|
$9$ |
$768$ |
$0.583070$ |
$18609625/1188$ |
$0.92581$ |
$4.29559$ |
$1$ |
$[0, 0, 0, -795, 8138]$ |
\(y^2=x^3-795x+8138\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.9, $\ldots$ |
$[(7, 54)]$ |
$1$ |
| 1584.h4 |
1584l2 |
1584.h |
1584l |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{13} \cdot 3^{12} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$0.982878380$ |
$1$ |
|
$7$ |
$1536$ |
$0.929644$ |
$9938375/176418$ |
$1.01160$ |
$4.67060$ |
$1$ |
$[0, 0, 0, 645, 34346]$ |
\(y^2=x^3+645x+34346\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.9, $\ldots$ |
$[(7, 198)]$ |
$1$ |
| 1584.i1 |
1584h4 |
1584.i |
1584h |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$1.522512$ |
$4406910829875/7744$ |
$1.04926$ |
$6.42255$ |
$1$ |
$[0, 0, 0, -147555, 21816162]$ |
\(y^2=x^3-147555x+21816162\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.h.1.1, 44.6.0.e.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.i2 |
1584h3 |
1584.i |
1584h |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{24} \cdot 3^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$1.175940$ |
$1108717875/45056$ |
$0.99248$ |
$5.29768$ |
$1$ |
$[0, 0, 0, -9315, 333666]$ |
\(y^2=x^3-9315x+333666\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.2, 44.6.0.e.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.i3 |
1584h2 |
1584.i |
1584h |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.973207$ |
$13060888875/7086244$ |
$1.08865$ |
$4.73777$ |
$1$ |
$[0, 0, 0, -2355, 10994]$ |
\(y^2=x^3-2355x+10994\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.h.1.3, 44.6.0.e.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.i4 |
1584h1 |
1584.i |
1584h |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{3} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.626633$ |
$2714704875/21296$ |
$0.99928$ |
$4.52455$ |
$1$ |
$[0, 0, 0, -1395, -19918]$ |
\(y^2=x^3-1395x-19918\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.4, 44.6.0.e.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.j1 |
1584f1 |
1584.j |
1584f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$0.367292479$ |
$1$ |
|
$11$ |
$256$ |
$0.109862$ |
$62500/33$ |
$1.02621$ |
$3.33429$ |
$1$ |
$[0, 0, 0, -75, 74]$ |
\(y^2=x^3-75x+74\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(-5, 18)]$ |
$1$ |
| 1584.j2 |
1584f2 |
1584.j |
1584f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$0.734584958$ |
$1$ |
|
$7$ |
$512$ |
$0.456436$ |
$1714750/1089$ |
$1.18812$ |
$3.87788$ |
$1$ |
$[0, 0, 0, 285, 578]$ |
\(y^2=x^3+285x+578\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(7, 54)]$ |
$1$ |
| 1584.k1 |
1584j4 |
1584.k |
1584j |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1.084026897$ |
$1$ |
|
$7$ |
$4608$ |
$1.522512$ |
$13060888875/7086244$ |
$1.08865$ |
$5.63244$ |
$1$ |
$[0, 0, 0, -21195, -296838]$ |
\(y^2=x^3-21195x-296838\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.h.1.1, 44.6.0.e.1, $\ldots$ |
$[(-17, 242)]$ |
$1$ |
| 1584.k2 |
1584j2 |
1584.k |
1584j |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$3.252080691$ |
$1$ |
|
$3$ |
$1536$ |
$0.973207$ |
$4406910829875/7744$ |
$1.04926$ |
$5.52788$ |
$1$ |
$[0, 0, 0, -16395, -808006]$ |
\(y^2=x^3-16395x-808006\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.h.1.3, 44.6.0.e.1, $\ldots$ |
$[(223, 2574)]$ |
$1$ |
| 1584.k3 |
1584j3 |
1584.k |
1584j |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$0.542013448$ |
$1$ |
|
$9$ |
$2304$ |
$1.175940$ |
$2714704875/21296$ |
$0.99928$ |
$5.41922$ |
$1$ |
$[0, 0, 0, -12555, 537786]$ |
\(y^2=x^3-12555x+537786\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.2, 44.6.0.e.1, $\ldots$ |
$[(15, 594)]$ |
$1$ |
| 1584.k4 |
1584j1 |
1584.k |
1584j |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{24} \cdot 3^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$132$ |
$96$ |
$1$ |
$1.626040345$ |
$1$ |
|
$3$ |
$768$ |
$0.626633$ |
$1108717875/45056$ |
$0.99248$ |
$4.40301$ |
$1$ |
$[0, 0, 0, -1035, -12358]$ |
\(y^2=x^3-1035x-12358\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.4, 44.6.0.e.1, $\ldots$ |
$[(-17, 18)]$ |
$1$ |
| 1584.l1 |
1584a2 |
1584.l |
1584a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.584312153$ |
$1$ |
|
$7$ |
$256$ |
$-0.001240$ |
$1687500/121$ |
$1.15454$ |
$3.33429$ |
$1$ |
$[0, 0, 0, -75, 234]$ |
\(y^2=x^3-75x+234\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(3, 6)]$ |
$1$ |
| 1584.l2 |
1584a1 |
1584.l |
1584a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.168624307$ |
$1$ |
|
$5$ |
$128$ |
$-0.347813$ |
$54000/11$ |
$0.83260$ |
$2.67895$ |
$1$ |
$[0, 0, 0, -15, -18]$ |
\(y^2=x^3-15x-18\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(-2, 2)]$ |
$1$ |
| 1584.m1 |
1584b2 |
1584.m |
1584b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.548066$ |
$1687500/121$ |
$1.15454$ |
$4.22896$ |
$1$ |
$[0, 0, 0, -675, -6318]$ |
\(y^2=x^3-675x-6318\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[ ]$ |
$1$ |
| 1584.m2 |
1584b1 |
1584.m |
1584b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.201493$ |
$54000/11$ |
$0.83260$ |
$3.57362$ |
$1$ |
$[0, 0, 0, -135, 486]$ |
\(y^2=x^3-135x+486\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[ ]$ |
$1$ |
| 1584.n1 |
1584c4 |
1584.n |
1584c |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.718627$ |
$37736227588/33$ |
$0.98449$ |
$5.14095$ |
$1$ |
$[0, 0, 0, -6339, 194258]$ |
\(y^2=x^3-6339x+194258\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.n2 |
1584c3 |
1584.n |
1584c |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.718627$ |
$122657188/43923$ |
$0.95383$ |
$4.36337$ |
$2$ |
$[0, 0, 0, -939, -6838]$ |
\(y^2=x^3-939x-6838\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.? |
$[ ]$ |
$1$ |
| 1584.n3 |
1584c2 |
1584.n |
1584c |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.372053$ |
$37642192/1089$ |
$0.89513$ |
$4.01488$ |
$1$ |
$[0, 0, 0, -399, 2990]$ |
\(y^2=x^3-399x+2990\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 44.24.0-44.b.1.3, 132.48.0.? |
$[ ]$ |
$1$ |
| 1584.n4 |
1584c1 |
1584.n |
1584c |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.025480$ |
$2048/891$ |
$1.09261$ |
$3.20452$ |
$2$ |
$[0, 0, 0, 6, 155]$ |
\(y^2=x^3+6x+155\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.o1 |
1584q3 |
1584.o |
1584q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{9} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$1.229822$ |
$347873904937/395307$ |
$1.00913$ |
$5.63059$ |
$1$ |
$[0, 0, 0, -21099, 1178458]$ |
\(y^2=x^3-21099x+1178458\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.? |
$[ ]$ |
$1$ |
| 1584.o2 |
1584q2 |
1584.o |
1584q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{12} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.883247$ |
$169112377/88209$ |
$1.00669$ |
$4.59512$ |
$1$ |
$[0, 0, 0, -1659, 8170]$ |
\(y^2=x^3-1659x+8170\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 44.24.0-44.b.1.3, 132.48.0.? |
$[ ]$ |
$1$ |
| 1584.o3 |
1584q1 |
1584.o |
1584q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.536674$ |
$30664297/297$ |
$1.09706$ |
$4.36337$ |
$2$ |
$[0, 0, 0, -939, -10982]$ |
\(y^2=x^3-939x-10982\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.o4 |
1584q4 |
1584.o |
1584q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{18} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.229822$ |
$9090072503/5845851$ |
$1.03763$ |
$5.13591$ |
$2$ |
$[0, 0, 0, 6261, 63610]$ |
\(y^2=x^3+6261x+63610\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 22.6.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1584.p1 |
1584o2 |
1584.p |
1584o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$3.281855644$ |
$1$ |
|
$2$ |
$720$ |
$0.446319$ |
$-199794688/1331$ |
$0.99506$ |
$4.24299$ |
$1$ |
$[0, 0, 0, -696, -7108]$ |
\(y^2=x^3-696x-7108\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(38, 146)]$ |
$1$ |
| 1584.p2 |
1584o1 |
1584.p |
1584o |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1.093951881$ |
$1$ |
|
$4$ |
$240$ |
$-0.102988$ |
$8192/11$ |
$0.84294$ |
$2.90805$ |
$1$ |
$[0, 0, 0, 24, -52]$ |
\(y^2=x^3+24x-52\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(2, 2)]$ |
$1$ |
| 1584.q1 |
1584d1 |
1584.q |
1584d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$224$ |
$-0.079906$ |
$-27648/11$ |
$0.78666$ |
$3.10645$ |
$1$ |
$[0, 0, 0, -36, 108]$ |
\(y^2=x^3-36x+108\) |
22.2.0.a.1 |
$[ ]$ |
$1$ |
| 1584.r1 |
1584i2 |
1584.r |
1584i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.753763$ |
$19034163/121$ |
$0.94120$ |
$4.74598$ |
$1$ |
$[0, 0, 0, -2403, 45090]$ |
\(y^2=x^3-2403x+45090\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[ ]$ |
$1$ |
| 1584.r2 |
1584i1 |
1584.r |
1584i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.407189$ |
$19683/11$ |
$1.13667$ |
$3.81296$ |
$1$ |
$[0, 0, 0, -243, -270]$ |
\(y^2=x^3-243x-270\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[ ]$ |
$1$ |
