| 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.a3 |
54a1 |
54.a |
54a |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \) |
\( - 2^{3} \cdot 3^{9} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.2 |
3Cs.1.1 |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.315205$ |
$9261/8$ |
$1.19875$ |
$4.76840$ |
$[1, -1, 0, 12, 8]$ |
\(y^2+xy=x^3-x^2+12x+8\) |
3.24.0-3.a.1.1, 9.72.0-9.a.1.2, 24.48.1-24.ci.1.1, 72.144.3.? |
$[]$ |
| 54.b3 |
54b1 |
54.b |
54b |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \) |
\( - 2^{3} \cdot 3^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.1 |
3Cs.1.1 |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.864511$ |
$9261/8$ |
$1.19875$ |
$3.11593$ |
$[1, -1, 1, 1, -1]$ |
\(y^2+xy+y=x^3-x^2+x-1\) |
3.24.0-3.a.1.1, 9.72.0-9.a.1.1, 24.48.1-24.ci.1.1, 72.144.3.? |
$[]$ |
| 432.b3 |
432f1 |
432.b |
432f |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \) |
\( - 2^{15} \cdot 3^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$72$ |
$144$ |
$3$ |
$0.231321420$ |
$1$ |
|
$6$ |
$48$ |
$-0.171363$ |
$9261/8$ |
$1.19875$ |
$3.41887$ |
$[0, 0, 0, 21, 26]$ |
\(y^2=x^3+21x+26\) |
3.12.0.a.1, 9.36.0.a.1, 12.24.0-3.a.1.1, 24.48.1-24.ci.1.4, 36.72.0-9.a.1.1, $\ldots$ |
$[(5, 16)]$ |
| 432.g3 |
432e2 |
432.g |
432e |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \) |
\( - 2^{15} \cdot 3^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$144$ |
$0.377943$ |
$9261/8$ |
$1.19875$ |
$4.50510$ |
$[0, 0, 0, 189, -702]$ |
\(y^2=x^3+189x-702\) |
3.12.0.a.1, 9.36.0.a.1, 12.24.0-3.a.1.1, 24.48.1-24.ci.1.4, 36.72.0-9.a.1.2, $\ldots$ |
$[]$ |
| 1350.h3 |
1350f1 |
1350.h |
1350f |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$216$ |
$-0.059792$ |
$9261/8$ |
$1.19875$ |
$3.06416$ |
$[1, -1, 0, 33, -59]$ |
\(y^2+xy=x^3-x^2+33x-59\) |
3.12.0.a.1, 9.36.0.a.1, 15.24.0-3.a.1.1, 24.24.1.ci.1, 45.72.0-9.a.1.2, $\ldots$ |
$[]$ |
| 1350.r3 |
1350m2 |
1350.r |
1350m |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$648$ |
$0.489514$ |
$9261/8$ |
$1.19875$ |
$3.97867$ |
$[1, -1, 1, 295, 1297]$ |
\(y^2+xy+y=x^3-x^2+295x+1297\) |
3.12.0.a.1, 9.36.0.a.1, 15.24.0-3.a.1.1, 24.24.1.ci.1, 45.72.0-9.a.1.1, $\ldots$ |
$[]$ |
| 1728.c3 |
1728e2 |
1728.c |
1728e |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \) |
\( - 2^{21} \cdot 3^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$72$ |
$144$ |
$3$ |
$0.847819441$ |
$1$ |
|
$4$ |
$1152$ |
$0.724516$ |
$9261/8$ |
$1.19875$ |
$4.22521$ |
$[0, 0, 0, 756, 5616]$ |
\(y^2=x^3+756x+5616\) |
3.12.0.a.1, 6.24.0-3.a.1.1, 9.36.0.a.1, 18.72.0-9.a.1.2, 24.48.1-24.ci.1.3, $\ldots$ |
$[(-2, 64)]$ |
| 1728.d3 |
1728bb2 |
1728.d |
1728bb |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \) |
\( - 2^{21} \cdot 3^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$72$ |
$144$ |
$3$ |
$0.338560565$ |
$1$ |
|
$4$ |
$1152$ |
$0.724516$ |
$9261/8$ |
$1.19875$ |
$4.22521$ |
$[0, 0, 0, 756, -5616]$ |
\(y^2=x^3+756x-5616\) |
3.12.0.a.1, 9.36.0.a.1, 12.24.0-3.a.1.2, 24.48.1-24.ci.1.2, 36.72.0-9.a.1.3, $\ldots$ |
$[(66, 576)]$ |
| 1728.y3 |
1728j1 |
1728.y |
1728j |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \) |
\( - 2^{21} \cdot 3^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.175210$ |
$9261/8$ |
$1.19875$ |
$3.34098$ |
$[0, 0, 0, 84, -208]$ |
\(y^2=x^3+84x-208\) |
3.12.0.a.1, 6.24.0-3.a.1.1, 9.36.0.a.1, 18.72.0-9.a.1.1, 24.48.1-24.ci.1.3, $\ldots$ |
$[]$ |
| 1728.z3 |
1728s1 |
1728.z |
1728s |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \) |
\( - 2^{21} \cdot 3^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.175210$ |
$9261/8$ |
$1.19875$ |
$3.34098$ |
$[0, 0, 0, 84, 208]$ |
\(y^2=x^3+84x+208\) |
3.12.0.a.1, 9.36.0.a.1, 12.24.0-3.a.1.2, 24.48.1-24.ci.1.2, 36.72.0-9.a.1.4, $\ldots$ |
$[]$ |
| 2646.a3 |
2646g2 |
2646.a |
2646g |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$2268$ |
$0.657751$ |
$9261/8$ |
$1.19875$ |
$3.89510$ |
$[1, -1, 0, 579, -3907]$ |
\(y^2+xy=x^3-x^2+579x-3907\) |
3.12.0.a.1, 9.36.0.a.1, 21.24.0-3.a.1.1, 24.24.1.ci.1, 63.72.0-9.a.1.1, $\ldots$ |
$[]$ |
| 2646.bd3 |
2646bb1 |
2646.bd |
2646bb |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$756$ |
$0.108444$ |
$9261/8$ |
$1.19875$ |
$3.05868$ |
$[1, -1, 1, 64, 123]$ |
\(y^2+xy+y=x^3-x^2+64x+123\) |
3.12.0.a.1, 9.36.0.a.1, 21.24.0-3.a.1.1, 24.24.1.ci.1, 63.72.0-9.a.1.2, $\ldots$ |
$[]$ |
| 6534.b3 |
6534g1 |
6534.b |
6534g |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$792$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$2700$ |
$0.334437$ |
$9261/8$ |
$1.19875$ |
$3.05264$ |
$[1, -1, 0, 159, 501]$ |
\(y^2+xy=x^3-x^2+159x+501\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 33.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[]$ |
| 6534.bc3 |
6534ba2 |
6534.bc |
6534ba |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$792$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$8100$ |
$0.883743$ |
$9261/8$ |
$1.19875$ |
$3.80299$ |
$[1, -1, 1, 1429, -14957]$ |
\(y^2+xy+y=x^3-x^2+1429x-14957\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 33.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[]$ |
| 9126.r3 |
9126h1 |
9126.r |
9126h |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$936$ |
$144$ |
$3$ |
$2.334018866$ |
$1$ |
|
$2$ |
$4320$ |
$0.417964$ |
$9261/8$ |
$1.19875$ |
$3.05071$ |
$[1, -1, 0, 222, -948]$ |
\(y^2+xy=x^3-x^2+222x-948\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 39.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(127, 1373)]$ |
| 9126.u3 |
9126bj2 |
9126.u |
9126bj |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$936$ |
$144$ |
$3$ |
$0.546234544$ |
$1$ |
|
$4$ |
$12960$ |
$0.967270$ |
$9261/8$ |
$1.19875$ |
$3.77357$ |
$[1, -1, 1, 1996, 23599]$ |
\(y^2+xy+y=x^3-x^2+1996x+23599\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 39.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(127, 1457)]$ |
| 10800.bl3 |
10800by1 |
10800.bl |
10800by |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$0.633355$ |
$9261/8$ |
$1.19875$ |
$3.27370$ |
$[0, 0, 0, 525, 3250]$ |
\(y^2=x^3+525x+3250\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 60.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[]$ |
| 10800.bu3 |
10800da2 |
10800.bu |
10800da |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$360$ |
$144$ |
$3$ |
$0.978852123$ |
$1$ |
|
$4$ |
$15552$ |
$1.182661$ |
$9261/8$ |
$1.19875$ |
$3.98345$ |
$[0, 0, 0, 4725, -87750]$ |
\(y^2=x^3+4725x-87750\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 60.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(21, 144)]$ |
| 15606.c3 |
15606f2 |
15606.c |
15606f |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$1224$ |
$144$ |
$3$ |
$2.824132179$ |
$1$ |
|
$0$ |
$31104$ |
$1.101402$ |
$9261/8$ |
$1.19875$ |
$3.73059$ |
$[1, -1, 0, 3414, 53036]$ |
\(y^2+xy=x^3-x^2+3414x+53036\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 51.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(35/2, 2277/2)]$ |
| 15606.bm3 |
15606bi1 |
15606.bm |
15606bi |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$1224$ |
$144$ |
$3$ |
$1.967213225$ |
$1$ |
|
$0$ |
$10368$ |
$0.552096$ |
$9261/8$ |
$1.19875$ |
$3.04790$ |
$[1, -1, 1, 379, -2091]$ |
\(y^2+xy+y=x^3-x^2+379x-2091\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 51.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(49/3, 202/3)]$ |
| 19494.c3 |
19494w1 |
19494.c |
19494w |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$1368$ |
$144$ |
$3$ |
$1.841816923$ |
$1$ |
|
$0$ |
$14256$ |
$0.607709$ |
$9261/8$ |
$1.19875$ |
$3.04682$ |
$[1, -1, 0, 474, 2668]$ |
\(y^2+xy=x^3-x^2+474x+2668\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 57.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(39/2, 683/2)]$ |
| 19494.bp3 |
19494bd2 |
19494.bp |
19494bd |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$1368$ |
$144$ |
$3$ |
$3.746887545$ |
$1$ |
|
$0$ |
$42768$ |
$1.157015$ |
$9261/8$ |
$1.19875$ |
$3.71413$ |
$[1, -1, 1, 4264, -76301]$ |
\(y^2+xy+y=x^3-x^2+4264x-76301\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 57.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(919/3, 30737/3)]$ |
| 21168.r3 |
21168dr2 |
21168.r |
21168dr |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$54432$ |
$1.350899$ |
$9261/8$ |
$1.19875$ |
$3.91700$ |
$[0, 0, 0, 9261, 240786]$ |
\(y^2=x^3+9261x+240786\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 84.24.0.?, $\ldots$ |
$[]$ |
| 21168.dg3 |
21168ck1 |
21168.dg |
21168ck |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$504$ |
$144$ |
$3$ |
$2.801204173$ |
$1$ |
|
$2$ |
$18144$ |
$0.801592$ |
$9261/8$ |
$1.19875$ |
$3.25520$ |
$[0, 0, 0, 1029, -8918]$ |
\(y^2=x^3+1029x-8918\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 84.24.0.?, $\ldots$ |
$[(93, 944)]$ |
| 28566.d3 |
28566r2 |
28566.d |
28566r |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$1656$ |
$144$ |
$3$ |
$1.389145816$ |
$1$ |
|
$4$ |
$71280$ |
$1.252542$ |
$9261/8$ |
$1.19875$ |
$3.68754$ |
$[1, -1, 0, 6249, -135019]$ |
\(y^2+xy=x^3-x^2+6249x-135019\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 69.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(29, 250)]$ |
| 28566.bl3 |
28566bc1 |
28566.bl |
28566bc |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$1656$ |
$144$ |
$3$ |
$2.232177146$ |
$1$ |
|
$0$ |
$23760$ |
$0.703237$ |
$9261/8$ |
$1.19875$ |
$3.04507$ |
$[1, -1, 1, 694, 4769]$ |
\(y^2+xy+y=x^3-x^2+694x+4769\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 69.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(139/2, 1973/2)]$ |
| 43200.ds3 |
43200fn2 |
43200.ds |
43200fn |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$124416$ |
$1.529236$ |
$9261/8$ |
$1.19875$ |
$3.85572$ |
$[0, 0, 0, 18900, -702000]$ |
\(y^2=x^3+18900x-702000\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 60.24.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[]$ |
| 43200.eo3 |
43200ia1 |
43200.eo |
43200ia |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$360$ |
$144$ |
$3$ |
$2.557482594$ |
$1$ |
|
$2$ |
$41472$ |
$0.979929$ |
$9261/8$ |
$1.19875$ |
$3.23815$ |
$[0, 0, 0, 2100, 26000]$ |
\(y^2=x^3+2100x+26000\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 60.24.0-3.a.1.2, 72.72.3.?, $\ldots$ |
$[(146, 1856)]$ |
| 43200.fx3 |
43200f1 |
43200.fx |
43200f |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$360$ |
$144$ |
$3$ |
$2.691374333$ |
$1$ |
|
$2$ |
$41472$ |
$0.979929$ |
$9261/8$ |
$1.19875$ |
$3.23815$ |
$[0, 0, 0, 2100, -26000]$ |
\(y^2=x^3+2100x-26000\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 30.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(174, 2368)]$ |
| 43200.gt3 |
43200dc2 |
43200.gt |
43200dc |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$360$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$124416$ |
$1.529236$ |
$9261/8$ |
$1.19875$ |
$3.85572$ |
$[0, 0, 0, 18900, 702000]$ |
\(y^2=x^3+18900x+702000\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 30.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[]$ |
| 45414.a3 |
45414o1 |
45414.a |
45414o |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 29^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2088$ |
$144$ |
$3$ |
$2.371359426$ |
$1$ |
|
$6$ |
$48384$ |
$0.819138$ |
$9261/8$ |
$1.19875$ |
$3.04312$ |
$[1, -1, 0, 1104, -10184]$ |
\(y^2+xy=x^3-x^2+1104x-10184\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 87.24.0.?, $\ldots$ |
$[(51, 395), (399, 7790)]$ |
| 45414.bd3 |
45414u2 |
45414.bd |
45414u |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2088$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.368443$ |
$9261/8$ |
$1.19875$ |
$3.65781$ |
$[1, -1, 1, 9934, 265033]$ |
\(y^2+xy+y=x^3-x^2+9934x+265033\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 87.24.0.?, $\ldots$ |
$[]$ |
| 51894.n3 |
51894e2 |
51894.n |
51894e |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2232$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$179820$ |
$1.401789$ |
$9261/8$ |
$1.19875$ |
$3.64973$ |
$[1, -1, 0, 11352, -329608]$ |
\(y^2+xy=x^3-x^2+11352x-329608\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 93.24.0.?, $\ldots$ |
$[]$ |
| 51894.s3 |
51894bd1 |
51894.s |
51894bd |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2232$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$59940$ |
$0.852483$ |
$9261/8$ |
$1.19875$ |
$3.04259$ |
$[1, -1, 1, 1261, 11787]$ |
\(y^2+xy+y=x^3-x^2+1261x+11787\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 93.24.0.?, $\ldots$ |
$[]$ |
| 52272.i3 |
52272df1 |
52272.i |
52272df |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$792$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$64800$ |
$1.027584$ |
$9261/8$ |
$1.19875$ |
$3.23397$ |
$[0, 0, 0, 2541, -34606]$ |
\(y^2=x^3+2541x-34606\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 132.24.0.?, $\ldots$ |
$[]$ |
| 52272.cv3 |
52272cd2 |
52272.cv |
52272cd |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$792$ |
$144$ |
$3$ |
$6.441074654$ |
$1$ |
|
$0$ |
$194400$ |
$1.576891$ |
$9261/8$ |
$1.19875$ |
$3.84070$ |
$[0, 0, 0, 22869, 934362]$ |
\(y^2=x^3+22869x+934362\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 132.24.0.?, $\ldots$ |
$[(-611/5, 75088/5)]$ |
| 66150.eb3 |
66150bb1 |
66150.eb |
66150bb |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2520$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$81648$ |
$0.913163$ |
$9261/8$ |
$1.19875$ |
$3.04166$ |
$[1, -1, 0, 1608, 17016]$ |
\(y^2+xy=x^3-x^2+1608x+17016\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 105.24.0.?, $\ldots$ |
$[]$ |
| 66150.gb3 |
66150jb2 |
66150.gb |
66150jb |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2520$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$244944$ |
$1.462469$ |
$9261/8$ |
$1.19875$ |
$3.63553$ |
$[1, -1, 1, 14470, -473903]$ |
\(y^2+xy+y=x^3-x^2+14470x-473903\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 105.24.0.?, $\ldots$ |
$[]$ |
| 73008.f3 |
73008cc2 |
73008.f |
73008cc |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$1.660418$ |
$9261/8$ |
$1.19875$ |
$3.81562$ |
$[0, 0, 0, 31941, -1542294]$ |
\(y^2=x^3+31941x-1542294\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 156.24.0.?, $\ldots$ |
$[]$ |
| 73008.di3 |
73008di1 |
73008.di |
73008di |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{3} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$936$ |
$144$ |
$3$ |
$4.169939188$ |
$1$ |
|
$0$ |
$103680$ |
$1.111111$ |
$9261/8$ |
$1.19875$ |
$3.22699$ |
$[0, 0, 0, 3549, 57122]$ |
\(y^2=x^3+3549x+57122\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 156.24.0.?, $\ldots$ |
$[(-169/5, 22646/5)]$ |
| 73926.j3 |
73926c1 |
73926.j |
73926c |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2664$ |
$144$ |
$3$ |
$6.442565360$ |
$1$ |
|
$0$ |
$103680$ |
$0.940948$ |
$9261/8$ |
$1.19875$ |
$3.04125$ |
$[1, -1, 0, 1797, -21027]$ |
\(y^2+xy=x^3-x^2+1797x-21027\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 111.24.0.?, $\ldots$ |
$[(6559/22, 730085/22)]$ |
| 73926.n3 |
73926y2 |
73926.n |
73926y |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2664$ |
$144$ |
$3$ |
$1.123884803$ |
$1$ |
|
$4$ |
$311040$ |
$1.490255$ |
$9261/8$ |
$1.19875$ |
$3.62922$ |
$[1, -1, 1, 16171, 551557]$ |
\(y^2+xy+y=x^3-x^2+16171x+551557\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 111.24.0.?, $\ldots$ |
$[(65, 1336)]$ |
| 84672.t3 |
84672ch1 |
84672.t |
84672ch |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.148165$ |
$9261/8$ |
$1.19875$ |
$3.22402$ |
$[0, 0, 0, 4116, 71344]$ |
\(y^2=x^3+4116x+71344\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 42.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[]$ |
| 84672.bk3 |
84672ks1 |
84672.bk |
84672ks |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$504$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.148165$ |
$9261/8$ |
$1.19875$ |
$3.22402$ |
$[0, 0, 0, 4116, -71344]$ |
\(y^2=x^3+4116x-71344\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 84.24.0.?, $\ldots$ |
$[]$ |
| 84672.jq3 |
84672hn2 |
84672.jq |
84672hn |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$504$ |
$144$ |
$3$ |
$6.785312349$ |
$1$ |
|
$0$ |
$435456$ |
$1.697472$ |
$9261/8$ |
$1.19875$ |
$3.80496$ |
$[0, 0, 0, 37044, 1926288]$ |
\(y^2=x^3+37044x+1926288\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 84.24.0.?, $\ldots$ |
$[(8674/5, 939968/5)]$ |
| 84672.kh3 |
84672er2 |
84672.kh |
84672er |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{3} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{9} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$504$ |
$144$ |
$3$ |
$2.972071979$ |
$1$ |
|
$2$ |
$435456$ |
$1.697472$ |
$9261/8$ |
$1.19875$ |
$3.80496$ |
$[0, 0, 0, 37044, -1926288]$ |
\(y^2=x^3+37044x-1926288\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 42.24.0-3.a.1.1, 72.72.3.?, $\ldots$ |
$[(1038, 33984)]$ |
| 90774.p3 |
90774c2 |
90774.p |
90774c |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 41^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2952$ |
$144$ |
$3$ |
$11.01112320$ |
$1$ |
|
$0$ |
$414720$ |
$1.541582$ |
$9261/8$ |
$1.19875$ |
$3.61791$ |
$[1, -1, 0, 19857, 751013]$ |
\(y^2+xy=x^3-x^2+19857x+751013\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 123.24.0.?, $\ldots$ |
$[(2063279/70, 3064669077/70)]$ |
| 90774.s3 |
90774bd1 |
90774.s |
90774bd |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 41^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$2952$ |
$144$ |
$3$ |
$3.020807590$ |
$1$ |
|
$0$ |
$138240$ |
$0.992275$ |
$9261/8$ |
$1.19875$ |
$3.04051$ |
$[1, -1, 1, 2206, -28551]$ |
\(y^2+xy+y=x^3-x^2+2206x-28551\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 123.24.0.?, $\ldots$ |
$[(1099/3, 37001/3)]$ |
| 99846.i3 |
99846i1 |
99846.i |
99846i |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$3096$ |
$144$ |
$3$ |
$6.472726030$ |
$1$ |
|
$0$ |
$154224$ |
$1.016090$ |
$9261/8$ |
$1.19875$ |
$3.04017$ |
$[1, -1, 0, 2427, 31693]$ |
\(y^2+xy=x^3-x^2+2427x+31693\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 129.24.0.?, $\ldots$ |
$[(9861/20, 2506631/20)]$ |
| 99846.j3 |
99846o2 |
99846.j |
99846o |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$3096$ |
$144$ |
$3$ |
$3.901214723$ |
$1$ |
|
$0$ |
$462672$ |
$1.565395$ |
$9261/8$ |
$1.19875$ |
$3.61280$ |
$[1, -1, 1, 21841, -877553]$ |
\(y^2+xy+y=x^3-x^2+21841x-877553\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.1.ci.1, 72.72.3.?, 129.24.0.?, $\ldots$ |
$[(2593/3, 142168/3)]$ |
