| 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 |
| 54.a1 |
54a2 |
54.a |
54a |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \) |
\( - 2^{9} \cdot 3^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.11 |
3B.1.2 |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$18$ |
$0.234102$ |
$-1167051/512$ |
$1.04966$ |
$6.67312$ |
$[1, -1, 0, -123, -667]$ |
\(y^2+xy=x^3-x^2-123x-667\) |
3.8.0-3.a.1.1, 9.72.0-9.d.1.1, 24.16.0-24.d.1.7, 72.144.3.? |
$[]$ |
| 54.b2 |
54b3 |
54.b |
54b |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \) |
\( - 2^{9} \cdot 3^{5} \) |
$0$ |
$\Z/9\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.5 |
3B.1.1 |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$8$ |
$6$ |
$-0.315205$ |
$-1167051/512$ |
$1.04966$ |
$5.02065$ |
$[1, -1, 1, -14, 29]$ |
\(y^2+xy+y=x^3-x^2-14x+29\) |
3.8.0-3.a.1.2, 9.72.0-9.d.1.2, 24.16.0-24.d.1.8, 72.144.3.? |
$[]$ |
| 432.b2 |
432f2 |
432.b |
432f |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \) |
\( - 2^{21} \cdot 3^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$72$ |
$144$ |
$3$ |
$0.693964260$ |
$1$ |
|
$4$ |
$144$ |
$0.377943$ |
$-1167051/512$ |
$1.04966$ |
$4.67091$ |
$[0, 0, 0, -219, -1654]$ |
\(y^2=x^3-219x-1654\) |
3.4.0.a.1, 9.36.0.d.1, 12.8.0-3.a.1.1, 24.16.0-24.d.1.3, 36.72.0-9.d.1.1, $\ldots$ |
$[(29, 128)]$ |
| 432.g1 |
432e3 |
432.g |
432e |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \) |
\( - 2^{21} \cdot 3^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$432$ |
$0.927249$ |
$-1167051/512$ |
$1.04966$ |
$5.75713$ |
$[0, 0, 0, -1971, 44658]$ |
\(y^2=x^3-1971x+44658\) |
3.4.0.a.1, 9.36.0.d.1, 12.8.0-3.a.1.2, 24.16.0-24.d.1.4, 36.72.0-9.d.1.2, $\ldots$ |
$[]$ |
| 1350.h2 |
1350f3 |
1350.h |
1350f |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$648$ |
$0.489514$ |
$-1167051/512$ |
$1.04966$ |
$4.11827$ |
$[1, -1, 0, -342, 3316]$ |
\(y^2+xy=x^3-x^2-342x+3316\) |
3.4.0.a.1, 9.36.0.d.1, 15.8.0-3.a.1.2, 24.8.0.d.1, 45.72.0-9.d.1.2, $\ldots$ |
$[]$ |
| 1350.r1 |
1350m3 |
1350.r |
1350m |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1944$ |
$1.038820$ |
$-1167051/512$ |
$1.04966$ |
$5.03278$ |
$[1, -1, 1, -3080, -86453]$ |
\(y^2+xy+y=x^3-x^2-3080x-86453\) |
3.4.0.a.1, 9.36.0.d.1, 15.8.0-3.a.1.1, 24.8.0.d.1, 45.72.0-9.d.1.1, $\ldots$ |
$[]$ |
| 1728.c1 |
1728e3 |
1728.c |
1728e |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \) |
\( - 2^{27} \cdot 3^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$72$ |
$144$ |
$3$ |
$2.543458324$ |
$1$ |
|
$2$ |
$3456$ |
$1.273823$ |
$-1167051/512$ |
$1.04966$ |
$5.24441$ |
$[0, 0, 0, -7884, -357264]$ |
\(y^2=x^3-7884x-357264\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 9.36.0.d.1, 18.72.0-9.d.1.1, 24.16.0-24.d.1.2, $\ldots$ |
$[(430, 8704)]$ |
| 1728.d1 |
1728bb3 |
1728.d |
1728bb |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \) |
\( - 2^{27} \cdot 3^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$72$ |
$144$ |
$3$ |
$1.015681695$ |
$1$ |
|
$4$ |
$3456$ |
$1.273823$ |
$-1167051/512$ |
$1.04966$ |
$5.24441$ |
$[0, 0, 0, -7884, 357264]$ |
\(y^2=x^3-7884x+357264\) |
3.4.0.a.1, 9.36.0.d.1, 12.8.0-3.a.1.3, 24.16.0-24.d.1.5, 36.72.0-9.d.1.3, $\ldots$ |
$[(82, 512)]$ |
| 1728.y2 |
1728j3 |
1728.y |
1728j |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \) |
\( - 2^{27} \cdot 3^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.724516$ |
$-1167051/512$ |
$1.04966$ |
$4.36018$ |
$[0, 0, 0, -876, 13232]$ |
\(y^2=x^3-876x+13232\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 9.36.0.d.1, 18.72.0-9.d.1.2, 24.16.0-24.d.1.1, $\ldots$ |
$[]$ |
| 1728.z2 |
1728s2 |
1728.z |
1728s |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \) |
\( - 2^{27} \cdot 3^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.724516$ |
$-1167051/512$ |
$1.04966$ |
$4.36018$ |
$[0, 0, 0, -876, -13232]$ |
\(y^2=x^3-876x-13232\) |
3.4.0.a.1, 9.36.0.d.1, 12.8.0-3.a.1.4, 24.16.0-24.d.1.6, 36.72.0-9.d.1.4, $\ldots$ |
$[]$ |
| 2646.a1 |
2646g3 |
2646.a |
2646g |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$6804$ |
$1.207056$ |
$-1167051/512$ |
$1.04966$ |
$4.85920$ |
$[1, -1, 0, -6036, 240848]$ |
\(y^2+xy=x^3-x^2-6036x+240848\) |
3.4.0.a.1, 9.36.0.d.1, 21.8.0-3.a.1.2, 24.8.0.d.1, 63.72.0-9.d.1.1, $\ldots$ |
$[]$ |
| 2646.bd2 |
2646bb2 |
2646.bd |
2646bb |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$2268$ |
$0.657751$ |
$-1167051/512$ |
$1.04966$ |
$4.02278$ |
$[1, -1, 1, -671, -8697]$ |
\(y^2+xy+y=x^3-x^2-671x-8697\) |
3.4.0.a.1, 9.36.0.d.1, 21.8.0-3.a.1.1, 24.8.0.d.1, 63.72.0-9.d.1.2, $\ldots$ |
$[]$ |
| 6534.b2 |
6534g2 |
6534.b |
6534g |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$792$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$8100$ |
$0.883743$ |
$-1167051/512$ |
$1.04966$ |
$3.91753$ |
$[1, -1, 0, -1656, -33984]$ |
\(y^2+xy=x^3-x^2-1656x-33984\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 33.8.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[]$ |
| 6534.bc1 |
6534ba3 |
6534.bc |
6534ba |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$792$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$24300$ |
$1.433050$ |
$-1167051/512$ |
$1.04966$ |
$4.66789$ |
$[1, -1, 1, -14906, 932473]$ |
\(y^2+xy+y=x^3-x^2-14906x+932473\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 33.8.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[]$ |
| 9126.r2 |
9126h3 |
9126.r |
9126h |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$936$ |
$144$ |
$3$ |
$0.778006288$ |
$1$ |
|
$4$ |
$12960$ |
$0.967270$ |
$-1167051/512$ |
$1.04966$ |
$3.88392$ |
$[1, -1, 0, -2313, 57357]$ |
\(y^2+xy=x^3-x^2-2313x+57357\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 39.8.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(-3, 255)]$ |
| 9126.u1 |
9126bj3 |
9126.u |
9126bj |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$936$ |
$144$ |
$3$ |
$1.638703633$ |
$1$ |
|
$4$ |
$38880$ |
$1.516577$ |
$-1167051/512$ |
$1.04966$ |
$4.60678$ |
$[1, -1, 1, -20819, -1527821]$ |
\(y^2+xy+y=x^3-x^2-20819x-1527821\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 39.8.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[(179, 586)]$ |
| 10800.bl2 |
10800by2 |
10800.bl |
10800by |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{5} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$15552$ |
$1.182661$ |
$-1167051/512$ |
$1.04966$ |
$4.09179$ |
$[0, 0, 0, -5475, -206750]$ |
\(y^2=x^3-5475x-206750\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 60.8.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[]$ |
| 10800.bu1 |
10800da3 |
10800.bu |
10800da |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{11} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$360$ |
$144$ |
$3$ |
$2.936556370$ |
$1$ |
|
$2$ |
$46656$ |
$1.731968$ |
$-1167051/512$ |
$1.04966$ |
$4.80154$ |
$[0, 0, 0, -49275, 5582250]$ |
\(y^2=x^3-49275x+5582250\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 60.8.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(-179, 2944)]$ |
| 15606.c1 |
15606f3 |
15606.c |
15606f |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$1224$ |
$144$ |
$3$ |
$8.472396538$ |
$1$ |
|
$0$ |
$93312$ |
$1.650709$ |
$-1167051/512$ |
$1.04966$ |
$4.51749$ |
$[1, -1, 0, -35601, -3419299]$ |
\(y^2+xy=x^3-x^2-35601x-3419299\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 51.8.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(80819/2, 22893525/2)]$ |
| 15606.bm2 |
15606bi3 |
15606.bm |
15606bi |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$1224$ |
$144$ |
$3$ |
$0.655737741$ |
$1$ |
|
$4$ |
$31104$ |
$1.101402$ |
$-1167051/512$ |
$1.04966$ |
$3.83480$ |
$[1, -1, 1, -3956, 127959]$ |
\(y^2+xy+y=x^3-x^2-3956x+127959\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 51.8.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[(81, 537)]$ |
| 19494.c2 |
19494w2 |
19494.c |
19494w |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$1368$ |
$144$ |
$3$ |
$5.525450769$ |
$1$ |
|
$0$ |
$42768$ |
$1.157015$ |
$-1167051/512$ |
$1.04966$ |
$3.81600$ |
$[1, -1, 0, -4941, -176027]$ |
\(y^2+xy=x^3-x^2-4941x-176027\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 57.8.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(4599/2, 306583/2)]$ |
| 19494.bp1 |
19494bd3 |
19494.bp |
19494bd |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$1368$ |
$144$ |
$3$ |
$1.248962515$ |
$1$ |
|
$4$ |
$128304$ |
$1.706322$ |
$-1167051/512$ |
$1.04966$ |
$4.48332$ |
$[1, -1, 1, -44471, 4797199]$ |
\(y^2+xy+y=x^3-x^2-44471x+4797199\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 57.8.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[(-109, 2942)]$ |
| 21168.r1 |
21168dr3 |
21168.r |
21168dr |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{11} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$504$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$163296$ |
$1.900204$ |
$-1167051/512$ |
$1.04966$ |
$4.67982$ |
$[0, 0, 0, -96579, -15317694]$ |
\(y^2=x^3-96579x-15317694\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 84.8.0.?, $\ldots$ |
$[]$ |
| 21168.dg2 |
21168ck3 |
21168.dg |
21168ck |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{5} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$504$ |
$144$ |
$3$ |
$0.933734724$ |
$1$ |
|
$4$ |
$54432$ |
$1.350899$ |
$-1167051/512$ |
$1.04966$ |
$4.01802$ |
$[0, 0, 0, -10731, 567322]$ |
\(y^2=x^3-10731x+567322\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 84.8.0.?, $\ldots$ |
$[(53, 384)]$ |
| 28566.d1 |
28566r3 |
28566.d |
28566r |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$1656$ |
$144$ |
$3$ |
$4.167437448$ |
$1$ |
|
$0$ |
$213840$ |
$1.801849$ |
$-1167051/512$ |
$1.04966$ |
$4.42807$ |
$[1, -1, 0, -65166, 8506196]$ |
\(y^2+xy=x^3-x^2-65166x+8506196\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 69.8.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(-505/2, 31187/2)]$ |
| 28566.bl2 |
28566bc2 |
28566.bl |
28566bc |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$1656$ |
$144$ |
$3$ |
$0.744059048$ |
$1$ |
|
$4$ |
$71280$ |
$1.252542$ |
$-1167051/512$ |
$1.04966$ |
$3.78561$ |
$[1, -1, 1, -7241, -312631]$ |
\(y^2+xy+y=x^3-x^2-7241x-312631\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 69.8.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[(351, 6172)]$ |
| 43200.ds1 |
43200fn3 |
43200.ds |
43200fn |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{27} \cdot 3^{11} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$2.078541$ |
$-1167051/512$ |
$1.04966$ |
$4.56755$ |
$[0, 0, 0, -197100, 44658000]$ |
\(y^2=x^3-197100x+44658000\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 60.8.0-3.a.1.4, 72.72.3.?, $\ldots$ |
$[]$ |
| 43200.eo2 |
43200ia2 |
43200.eo |
43200ia |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{27} \cdot 3^{5} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$360$ |
$144$ |
$3$ |
$7.672447783$ |
$1$ |
|
$0$ |
$124416$ |
$1.529236$ |
$-1167051/512$ |
$1.04966$ |
$3.94999$ |
$[0, 0, 0, -21900, -1654000]$ |
\(y^2=x^3-21900x-1654000\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 60.8.0-3.a.1.3, 72.72.3.?, $\ldots$ |
$[(55394/17, 5360128/17)]$ |
| 43200.fx2 |
43200f3 |
43200.fx |
43200f |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{27} \cdot 3^{5} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$360$ |
$144$ |
$3$ |
$0.897124777$ |
$1$ |
|
$4$ |
$124416$ |
$1.529236$ |
$-1167051/512$ |
$1.04966$ |
$3.94999$ |
$[0, 0, 0, -21900, 1654000]$ |
\(y^2=x^3-21900x+1654000\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 30.8.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[(-34, 1536)]$ |
| 43200.gt1 |
43200dc3 |
43200.gt |
43200dc |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{27} \cdot 3^{11} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$360$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$373248$ |
$2.078541$ |
$-1167051/512$ |
$1.04966$ |
$4.56755$ |
$[0, 0, 0, -197100, -44658000]$ |
\(y^2=x^3-197100x-44658000\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 30.8.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[]$ |
| 45414.a2 |
45414o3 |
45414.a |
45414o |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 29^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 29^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2088$ |
$144$ |
$3$ |
$2.371359426$ |
$1$ |
|
$8$ |
$145152$ |
$1.368443$ |
$-1167051/512$ |
$1.04966$ |
$3.75165$ |
$[1, -1, 0, -11511, 633181]$ |
\(y^2+xy=x^3-x^2-11511x+633181\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 87.8.0.?, $\ldots$ |
$[(51, 395), (-123, 482)]$ |
| 45414.bd1 |
45414u3 |
45414.bd |
45414u |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 29^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2088$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$435456$ |
$1.917749$ |
$-1167051/512$ |
$1.04966$ |
$4.36634$ |
$[1, -1, 1, -103601, -16992287]$ |
\(y^2+xy+y=x^3-x^2-103601x-16992287\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 87.8.0.?, $\ldots$ |
$[]$ |
| 51894.n1 |
51894e3 |
51894.n |
51894e |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 31^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2232$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$539460$ |
$1.951096$ |
$-1167051/512$ |
$1.04966$ |
$4.34955$ |
$[1, -1, 0, -118383, 20817197]$ |
\(y^2+xy=x^3-x^2-118383x+20817197\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 93.8.0.?, $\ldots$ |
$[]$ |
| 51894.s2 |
51894bd3 |
51894.s |
51894bd |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 31^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2232$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$179820$ |
$1.401789$ |
$-1167051/512$ |
$1.04966$ |
$3.74241$ |
$[1, -1, 1, -13154, -766623]$ |
\(y^2+xy+y=x^3-x^2-13154x-766623\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 93.8.0.?, $\ldots$ |
$[]$ |
| 52272.i2 |
52272df2 |
52272.i |
52272df |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{5} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$792$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$194400$ |
$1.576891$ |
$-1167051/512$ |
$1.04966$ |
$3.93332$ |
$[0, 0, 0, -26499, 2201474]$ |
\(y^2=x^3-26499x+2201474\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 132.8.0.?, $\ldots$ |
$[]$ |
| 52272.cv1 |
52272cd3 |
52272.cv |
52272cd |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{11} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$792$ |
$144$ |
$3$ |
$19.32322396$ |
$1$ |
|
$0$ |
$583200$ |
$2.126198$ |
$-1167051/512$ |
$1.04966$ |
$4.54005$ |
$[0, 0, 0, -238491, -59439798]$ |
\(y^2=x^3-238491x-59439798\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 132.8.0.?, $\ldots$ |
$[(3727308709/1795, 201410712743552/1795)]$ |
| 66150.eb2 |
66150bb2 |
66150.eb |
66150bb |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2520$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$244944$ |
$1.462469$ |
$-1167051/512$ |
$1.04966$ |
$3.72618$ |
$[1, -1, 0, -16767, -1103859]$ |
\(y^2+xy=x^3-x^2-16767x-1103859\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 105.8.0.?, $\ldots$ |
$[]$ |
| 66150.gb1 |
66150jb3 |
66150.gb |
66150jb |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2520$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$734832$ |
$2.011776$ |
$-1167051/512$ |
$1.04966$ |
$4.32004$ |
$[1, -1, 1, -150905, 29955097]$ |
\(y^2+xy+y=x^3-x^2-150905x+29955097\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 105.8.0.?, $\ldots$ |
$[]$ |
| 73008.f1 |
73008cc3 |
73008.f |
73008cc |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{11} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$933120$ |
$2.209724$ |
$-1167051/512$ |
$1.04966$ |
$4.49410$ |
$[0, 0, 0, -333099, 98113626]$ |
\(y^2=x^3-333099x+98113626\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 156.8.0.?, $\ldots$ |
$[]$ |
| 73008.di2 |
73008di2 |
73008.di |
73008di |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{5} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$936$ |
$144$ |
$3$ |
$12.50981756$ |
$1$ |
|
$0$ |
$311040$ |
$1.660418$ |
$-1167051/512$ |
$1.04966$ |
$3.90547$ |
$[0, 0, 0, -37011, -3633838]$ |
\(y^2=x^3-37011x-3633838\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 156.8.0.?, $\ldots$ |
$[(5983991/95, 13912773914/95)]$ |
| 73926.j2 |
73926c2 |
73926.j |
73926c |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2664$ |
$144$ |
$3$ |
$2.147521786$ |
$1$ |
|
$0$ |
$311040$ |
$1.490255$ |
$-1167051/512$ |
$1.04966$ |
$3.71898$ |
$[1, -1, 0, -18738, 1313748]$ |
\(y^2+xy=x^3-x^2-18738x+1313748\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 111.8.0.?, $\ldots$ |
$[(519/2, 7695/2)]$ |
| 73926.n1 |
73926y3 |
73926.n |
73926y |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2664$ |
$144$ |
$3$ |
$3.371654411$ |
$1$ |
|
$2$ |
$933120$ |
$2.039562$ |
$-1167051/512$ |
$1.04966$ |
$4.30695$ |
$[1, -1, 1, -168644, -35302553]$ |
\(y^2+xy+y=x^3-x^2-168644x-35302553\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 111.8.0.?, $\ldots$ |
$[(4061, 255341)]$ |
| 84672.t2 |
84672ch2 |
84672.t |
84672ch |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{27} \cdot 3^{5} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$435456$ |
$1.697472$ |
$-1167051/512$ |
$1.04966$ |
$3.89364$ |
$[0, 0, 0, -42924, -4538576]$ |
\(y^2=x^3-42924x-4538576\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 42.8.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[]$ |
| 84672.bk2 |
84672ks2 |
84672.bk |
84672ks |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{27} \cdot 3^{5} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$435456$ |
$1.697472$ |
$-1167051/512$ |
$1.04966$ |
$3.89364$ |
$[0, 0, 0, -42924, 4538576]$ |
\(y^2=x^3-42924x+4538576\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 84.8.0.?, $\ldots$ |
$[]$ |
| 84672.jq1 |
84672hn3 |
84672.jq |
84672hn |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{27} \cdot 3^{11} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$504$ |
$144$ |
$3$ |
$20.35593704$ |
$1$ |
|
$0$ |
$1306368$ |
$2.246777$ |
$-1167051/512$ |
$1.04966$ |
$4.47459$ |
$[0, 0, 0, -386316, -122541552]$ |
\(y^2=x^3-386316x-122541552\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 84.8.0.?, $\ldots$ |
$[(17654774866/4765, 743239698481664/4765)]$ |
| 84672.kh1 |
84672er3 |
84672.kh |
84672er |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{27} \cdot 3^{11} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$504$ |
$144$ |
$3$ |
$8.916215937$ |
$1$ |
|
$0$ |
$1306368$ |
$2.246777$ |
$-1167051/512$ |
$1.04966$ |
$4.47459$ |
$[0, 0, 0, -386316, 122541552]$ |
\(y^2=x^3-386316x+122541552\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 42.8.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[(248446/15, 108960256/15)]$ |
| 90774.p1 |
90774c3 |
90774.p |
90774c |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 41^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2952$ |
$144$ |
$3$ |
$33.03336961$ |
$1$ |
|
$0$ |
$1244160$ |
$2.090889$ |
$-1167051/512$ |
$1.04966$ |
$4.28345$ |
$[1, -1, 0, -207078, -48040012]$ |
\(y^2+xy=x^3-x^2-207078x-48040012\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 123.8.0.?, $\ldots$ |
$[(6113990537866919/3263330, 153260199121473210349743/3263330)]$ |
| 90774.s2 |
90774bd3 |
90774.s |
90774bd |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 41^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$2952$ |
$144$ |
$3$ |
$1.006935863$ |
$1$ |
|
$4$ |
$414720$ |
$1.541582$ |
$-1167051/512$ |
$1.04966$ |
$3.70605$ |
$[1, -1, 1, -23009, 1786929]$ |
\(y^2+xy+y=x^3-x^2-23009x+1786929\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 123.8.0.?, $\ldots$ |
$[(-51, 1706)]$ |
| 99846.i2 |
99846i2 |
99846.i |
99846i |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 43^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$3096$ |
$144$ |
$3$ |
$19.41817809$ |
$1$ |
|
$0$ |
$462672$ |
$1.565395$ |
$-1167051/512$ |
$1.04966$ |
$3.70021$ |
$[1, -1, 0, -25308, -2048432]$ |
\(y^2+xy=x^3-x^2-25308x-2048432\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 129.8.0.?, $\ldots$ |
$[(11036328069/2540, 1139875367337067/2540)]$ |
| 99846.j1 |
99846o3 |
99846.j |
99846o |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 43^{2} \) |
\( - 2^{9} \cdot 3^{11} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$3096$ |
$144$ |
$3$ |
$1.300404907$ |
$1$ |
|
$4$ |
$1388016$ |
$2.114700$ |
$-1167051/512$ |
$1.04966$ |
$4.27283$ |
$[1, -1, 1, -227774, 55535437]$ |
\(y^2+xy+y=x^3-x^2-227774x+55535437\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0.d.1, 72.72.3.?, 129.8.0.?, $\ldots$ |
$[(269, 3563)]$ |
