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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
77.b1 |
77b3 |
77.b |
77b |
$3$ |
$9$ |
\( 7 \cdot 11 \) |
\( - 7^{2} \cdot 11 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$1386$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$60$ |
$-0.295000$ |
$-78843215872/539$ |
$[0, 1, 1, -89, 295]$ |
\(y^2+y=x^3+x^2-89x+295\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 22.2.0.a.1, 63.72.0-63.e.1.2, 66.16.0-66.a.1.4, $\ldots$ |
539.b1 |
539a1 |
539.b |
539a |
$3$ |
$9$ |
\( 7^{2} \cdot 11 \) |
\( - 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$1386$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$320$ |
$0.677956$ |
$-78843215872/539$ |
$[0, -1, 1, -4377, -110013]$ |
\(y^2+y=x^3-x^2-4377x-110013\) |
3.4.0.a.1, 9.12.0.a.1, 21.8.0-3.a.1.1, 22.2.0.a.1, 63.72.0-63.e.1.3, $\ldots$ |
693.b1 |
693c1 |
693.b |
693c |
$3$ |
$9$ |
\( 3^{2} \cdot 7 \cdot 11 \) |
\( - 3^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.3 |
3B.1.2 |
$1386$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$200$ |
$0.254306$ |
$-78843215872/539$ |
$[0, 0, 1, -804, -8775]$ |
\(y^2+y=x^3-804x-8775\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 22.2.0.a.1, 63.72.0-63.e.1.1, 66.16.0-66.a.1.1, $\ldots$ |
847.c1 |
847a1 |
847.c |
847a |
$3$ |
$9$ |
\( 7 \cdot 11^{2} \) |
\( - 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$1386$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$800$ |
$0.903948$ |
$-78843215872/539$ |
$[0, 1, 1, -10809, -436166]$ |
\(y^2+y=x^3+x^2-10809x-436166\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 9.12.0.a.1, 18.24.0-9.a.1.1, 22.2.0.a.1, $\ldots$ |
1232.d1 |
1232f1 |
1232.d |
1232f |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$3.209008082$ |
$1$ |
|
$2$ |
$480$ |
$0.398148$ |
$-78843215872/539$ |
$[0, -1, 0, -1429, -20323]$ |
\(y^2=x^3-x^2-1429x-20323\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 22.2.0.a.1, 36.24.0-9.a.1.2, $\ldots$ |
1925.f1 |
1925a1 |
1925.f |
1925a |
$3$ |
$9$ |
\( 5^{2} \cdot 7 \cdot 11 \) |
\( - 5^{6} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6930$ |
$144$ |
$3$ |
$0.493847592$ |
$1$ |
|
$4$ |
$720$ |
$0.509719$ |
$-78843215872/539$ |
$[0, -1, 1, -2233, 41368]$ |
\(y^2+y=x^3-x^2-2233x+41368\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 22.2.0.a.1, 45.24.0-9.a.1.1, $\ldots$ |
4851.k1 |
4851n1 |
4851.k |
4851n |
$3$ |
$9$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{6} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$1386$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$9600$ |
$1.227262$ |
$-78843215872/539$ |
$[0, 0, 1, -39396, 3009739]$ |
\(y^2+y=x^3-39396x+3009739\) |
3.4.0.a.1, 9.12.0.a.1, 21.8.0-3.a.1.2, 22.2.0.a.1, 63.72.0-63.e.1.4, $\ldots$ |
4928.i1 |
4928o1 |
4928.i |
4928o |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$5544$ |
$144$ |
$3$ |
$0.390483623$ |
$1$ |
|
$2$ |
$960$ |
$0.051574$ |
$-78843215872/539$ |
$[0, -1, 0, -357, 2719]$ |
\(y^2=x^3-x^2-357x+2719\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.2, 63.36.0.e.1, $\ldots$ |
4928.x1 |
4928t1 |
4928.x |
4928t |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$5544$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$960$ |
$0.051574$ |
$-78843215872/539$ |
$[0, 1, 0, -357, -2719]$ |
\(y^2=x^3+x^2-357x-2719\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.4, 63.36.0.e.1, $\ldots$ |
5929.d1 |
5929b1 |
5929.d |
5929b |
$3$ |
$9$ |
\( 7^{2} \cdot 11^{2} \) |
\( - 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$1386$ |
$144$ |
$3$ |
$0.380901696$ |
$1$ |
|
$6$ |
$38400$ |
$1.876904$ |
$-78843215872/539$ |
$[0, -1, 1, -529657, 148545550]$ |
\(y^2+y=x^3-x^2-529657x+148545550\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 42.8.0-3.a.1.2, 63.36.0.e.1, $\ldots$ |
7623.i1 |
7623f1 |
7623.i |
7623f |
$3$ |
$9$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$1386$ |
$144$ |
$3$ |
$0.745116266$ |
$1$ |
|
$4$ |
$24000$ |
$1.453255$ |
$-78843215872/539$ |
$[0, 0, 1, -97284, 11679192]$ |
\(y^2+y=x^3-97284x+11679192\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 9.12.0.a.1, 18.24.0-9.a.1.2, 22.2.0.a.1, $\ldots$ |
8624.s1 |
8624bb1 |
8624.s |
8624bb |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.371103$ |
$-78843215872/539$ |
$[0, 1, 0, -70037, 7110851]$ |
\(y^2=x^3+x^2-70037x+7110851\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
11088.b1 |
11088bj1 |
11088.b |
11088bj |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1.210298022$ |
$1$ |
|
$2$ |
$14400$ |
$0.947453$ |
$-78843215872/539$ |
$[0, 0, 0, -12864, 561584]$ |
\(y^2=x^3-12864x+561584\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 22.2.0.a.1, 36.24.0-9.a.1.1, $\ldots$ |
13013.j1 |
13013a1 |
13013.j |
13013a |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 13^{2} \) |
\( - 7^{2} \cdot 11 \cdot 13^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$18018$ |
$144$ |
$3$ |
$1.058421891$ |
$1$ |
|
$6$ |
$14400$ |
$0.987475$ |
$-78843215872/539$ |
$[0, 1, 1, -15097, 708972]$ |
\(y^2+y=x^3+x^2-15097x+708972\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 39.8.0-3.a.1.1, 63.36.0.e.1, $\ldots$ |
13475.n1 |
13475a1 |
13475.n |
13475a |
$3$ |
$9$ |
\( 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 5^{6} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6930$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.482674$ |
$-78843215872/539$ |
$[0, 1, 1, -109433, -13970456]$ |
\(y^2+y=x^3+x^2-109433x-13970456\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
13552.i1 |
13552z1 |
13552.i |
13552z |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$1.597095$ |
$-78843215872/539$ |
$[0, -1, 0, -172949, 27741661]$ |
\(y^2=x^3-x^2-172949x+27741661\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.3, 22.2.0.a.1, 36.24.0-9.a.1.4, $\ldots$ |
17325.y1 |
17325n1 |
17325.y |
17325n |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6930$ |
$144$ |
$3$ |
$9.862226825$ |
$1$ |
|
$0$ |
$21600$ |
$1.059025$ |
$-78843215872/539$ |
$[0, 0, 1, -20100, -1096844]$ |
\(y^2+y=x^3-20100x-1096844\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 22.2.0.a.1, 45.24.0-9.a.1.2, $\ldots$ |
21175.t1 |
21175q1 |
21175.t |
21175q |
$3$ |
$9$ |
\( 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 5^{6} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6930$ |
$144$ |
$3$ |
$3.077885547$ |
$1$ |
|
$2$ |
$86400$ |
$1.708668$ |
$-78843215872/539$ |
$[0, -1, 1, -270233, -53980257]$ |
\(y^2+y=x^3-x^2-270233x-53980257\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 30.8.0-3.a.1.1, 63.36.0.e.1, $\ldots$ |
22253.e1 |
22253b1 |
22253.e |
22253b |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 17^{2} \) |
\( - 7^{2} \cdot 11 \cdot 17^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$23562$ |
$144$ |
$3$ |
$0.951678605$ |
$1$ |
|
$10$ |
$30720$ |
$1.121607$ |
$-78843215872/539$ |
$[0, -1, 1, -25817, 1605285]$ |
\(y^2+y=x^3-x^2-25817x+1605285\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 51.8.0-3.a.1.2, 63.36.0.e.1, $\ldots$ |
27797.d1 |
27797d1 |
27797.d |
27797d |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 19^{2} \) |
\( - 7^{2} \cdot 11 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$26334$ |
$144$ |
$3$ |
$6.244421456$ |
$1$ |
|
$0$ |
$47520$ |
$1.177219$ |
$-78843215872/539$ |
$[0, -1, 1, -32249, -2218362]$ |
\(y^2+y=x^3-x^2-32249x-2218362\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 57.8.0-3.a.1.1, 63.36.0.e.1, $\ldots$ |
30800.ci1 |
30800bt1 |
30800.ci |
30800bt |
$3$ |
$9$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$13860$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$51840$ |
$1.202866$ |
$-78843215872/539$ |
$[0, 1, 0, -35733, -2611837]$ |
\(y^2=x^3+x^2-35733x-2611837\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 60.8.0-3.a.1.2, 63.36.0.e.1, $\ldots$ |
34496.bn1 |
34496cp1 |
34496.bn |
34496cp |
$3$ |
$9$ |
\( 2^{6} \cdot 7^{2} \cdot 11 \) |
\( - 2^{6} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$5544$ |
$144$ |
$3$ |
$2.168235876$ |
$1$ |
|
$2$ |
$46080$ |
$1.024529$ |
$-78843215872/539$ |
$[0, -1, 0, -17509, 897611]$ |
\(y^2=x^3-x^2-17509x+897611\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
34496.cu1 |
34496bi1 |
34496.cu |
34496bi |
$3$ |
$9$ |
\( 2^{6} \cdot 7^{2} \cdot 11 \) |
\( - 2^{6} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$5544$ |
$144$ |
$3$ |
$20.31739350$ |
$1$ |
|
$0$ |
$46080$ |
$1.024529$ |
$-78843215872/539$ |
$[0, 1, 0, -17509, -897611]$ |
\(y^2=x^3+x^2-17509x-897611\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
40733.g1 |
40733a1 |
40733.g |
40733a |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 23^{2} \) |
\( - 7^{2} \cdot 11 \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$31878$ |
$144$ |
$3$ |
$9.419022159$ |
$1$ |
|
$0$ |
$83160$ |
$1.272747$ |
$-78843215872/539$ |
$[0, 1, 1, -47257, -3969915]$ |
\(y^2+y=x^3+x^2-47257x-3969915\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
44352.et1 |
44352ec1 |
44352.et |
44352ec |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$5544$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$28800$ |
$0.600880$ |
$-78843215872/539$ |
$[0, 0, 0, -3216, 70198]$ |
\(y^2=x^3-3216x+70198\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.3, 63.36.0.e.1, $\ldots$ |
44352.ev1 |
44352ch1 |
44352.ev |
44352ch |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$5544$ |
$144$ |
$3$ |
$13.24111175$ |
$1$ |
|
$0$ |
$28800$ |
$0.600880$ |
$-78843215872/539$ |
$[0, 0, 0, -3216, -70198]$ |
\(y^2=x^3-3216x-70198\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.1, 63.36.0.e.1, $\ldots$ |
53361.bi1 |
53361ba1 |
53361.bi |
53361ba |
$3$ |
$9$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{6} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$1386$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1152000$ |
$2.426208$ |
$-78843215872/539$ |
$[0, 0, 1, -4766916, -4005962942]$ |
\(y^2+y=x^3-4766916x-4005962942\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 42.8.0-3.a.1.1, 63.36.0.e.1, $\ldots$ |
54208.v1 |
54208l1 |
54208.v |
54208l |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 11^{2} \) |
\( - 2^{6} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$5544$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$1.250521$ |
$-78843215872/539$ |
$[0, -1, 0, -43237, -3446089]$ |
\(y^2=x^3-x^2-43237x-3446089\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.6, 63.36.0.e.1, $\ldots$ |
54208.bz1 |
54208ct1 |
54208.bz |
54208ct |
$3$ |
$9$ |
\( 2^{6} \cdot 7 \cdot 11^{2} \) |
\( - 2^{6} \cdot 7^{2} \cdot 11^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$5544$ |
$144$ |
$3$ |
$1.237113013$ |
$1$ |
|
$4$ |
$115200$ |
$1.250521$ |
$-78843215872/539$ |
$[0, 1, 0, -43237, 3446089]$ |
\(y^2=x^3+x^2-43237x+3446089\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 24.8.0-3.a.1.8, 63.36.0.e.1, $\ldots$ |
64757.e1 |
64757i1 |
64757.e |
64757i |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 29^{2} \) |
\( - 7^{2} \cdot 11 \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$40194$ |
$144$ |
$3$ |
$1.424884214$ |
$1$ |
|
$0$ |
$161280$ |
$1.388649$ |
$-78843215872/539$ |
$[0, -1, 1, -75129, 7951242]$ |
\(y^2+y=x^3-x^2-75129x+7951242\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
73997.c1 |
73997j1 |
73997.c |
73997j |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 31^{2} \) |
\( - 7^{2} \cdot 11 \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$42966$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$199800$ |
$1.421993$ |
$-78843215872/539$ |
$[0, -1, 1, -85849, -9653183]$ |
\(y^2+y=x^3-x^2-85849x-9653183\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
77616.gh1 |
77616fm1 |
77616.gh |
77616fm |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1$ |
$25$ |
$5$ |
$0$ |
$691200$ |
$1.920408$ |
$-78843215872/539$ |
$[0, 0, 0, -630336, -192623312]$ |
\(y^2=x^3-630336x-192623312\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
91091.h1 |
91091l1 |
91091.h |
91091l |
$3$ |
$9$ |
\( 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 7^{8} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$18018$ |
$144$ |
$3$ |
$17.97462998$ |
$1$ |
|
$0$ |
$691200$ |
$1.960430$ |
$-78843215872/539$ |
$[0, -1, 1, -739769, -244657008]$ |
\(y^2+y=x^3-x^2-739769x-244657008\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
94864.cd1 |
94864cj1 |
94864.cd |
94864cj |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$2764800$ |
$2.570049$ |
$-78843215872/539$ |
$[0, 1, 0, -8474517, -9498440701]$ |
\(y^2=x^3+x^2-8474517x-9498440701\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
105413.d1 |
105413c1 |
105413.d |
105413c |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 37^{2} \) |
\( - 7^{2} \cdot 11 \cdot 37^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$51282$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$317520$ |
$1.510460$ |
$-78843215872/539$ |
$[0, 1, 1, -122297, 16420990]$ |
\(y^2+y=x^3+x^2-122297x+16420990\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
117117.bg1 |
117117n1 |
117117.bg |
117117n |
$3$ |
$9$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( - 3^{6} \cdot 7^{2} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$18018$ |
$144$ |
$3$ |
$1$ |
$4$ |
$2$ |
$0$ |
$432000$ |
$1.536781$ |
$-78843215872/539$ |
$[0, 0, 1, -135876, -19278126]$ |
\(y^2+y=x^3-135876x-19278126\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 39.8.0-3.a.1.2, 63.36.0.e.1, $\ldots$ |
121275.dn1 |
121275dz1 |
121275.dn |
121275dz |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6930$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$2.031979$ |
$-78843215872/539$ |
$[0, 0, 1, -984900, 376217406]$ |
\(y^2+y=x^3-984900x+376217406\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
121968.s1 |
121968gl1 |
121968.s |
121968gl |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2772$ |
$144$ |
$3$ |
$10.41514181$ |
$1$ |
|
$0$ |
$1728000$ |
$2.146400$ |
$-78843215872/539$ |
$[0, 0, 0, -1556544, -747468304]$ |
\(y^2=x^3-1556544x-747468304\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.4, 22.2.0.a.1, 36.24.0-9.a.1.3, $\ldots$ |
123200.cj1 |
123200fk1 |
123200.cj |
123200fk |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$27720$ |
$144$ |
$3$ |
$11.29524805$ |
$1$ |
|
$2$ |
$103680$ |
$0.856293$ |
$-78843215872/539$ |
$[0, -1, 0, -8933, -322013]$ |
\(y^2=x^3-x^2-8933x-322013\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
123200.fp1 |
123200s1 |
123200.fp |
123200s |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$27720$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$0.856293$ |
$-78843215872/539$ |
$[0, 1, 0, -8933, 322013]$ |
\(y^2=x^3+x^2-8933x+322013\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
129437.c1 |
129437b1 |
129437.c |
129437b |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 41^{2} \) |
\( - 7^{2} \cdot 11 \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$56826$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$460800$ |
$1.561787$ |
$-78843215872/539$ |
$[0, -1, 1, -150169, 22448743]$ |
\(y^2+y=x^3-x^2-150169x+22448743\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
142373.f1 |
142373f1 |
142373.f |
142373f |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 43^{2} \) |
\( - 7^{2} \cdot 11 \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$59598$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$524160$ |
$1.585600$ |
$-78843215872/539$ |
$[0, -1, 1, -165177, -25783980]$ |
\(y^2+y=x^3-x^2-165177x-25783980\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
143143.v1 |
143143v1 |
143143.v |
143143v |
$3$ |
$9$ |
\( 7 \cdot 11^{2} \cdot 13^{2} \) |
\( - 7^{2} \cdot 11^{7} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$18018$ |
$144$ |
$3$ |
$9.839940900$ |
$1$ |
|
$0$ |
$1728000$ |
$2.186424$ |
$-78843215872/539$ |
$[0, 1, 1, -1826777, -950949125]$ |
\(y^2+y=x^3+x^2-1826777x-950949125\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
148225.bp1 |
148225bp1 |
148225.bp |
148225bp |
$3$ |
$9$ |
\( 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 5^{6} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6930$ |
$144$ |
$3$ |
$3.873609671$ |
$1$ |
|
$0$ |
$4147200$ |
$2.681622$ |
$-78843215872/539$ |
$[0, 1, 1, -13241433, 18541710919]$ |
\(y^2+y=x^3+x^2-13241433x+18541710919\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
155771.u1 |
155771t1 |
155771.u |
155771t |
$3$ |
$9$ |
\( 7^{2} \cdot 11 \cdot 17^{2} \) |
\( - 7^{8} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$23562$ |
$144$ |
$3$ |
$32.93065032$ |
$1$ |
|
$0$ |
$1474560$ |
$2.094563$ |
$-78843215872/539$ |
$[0, 1, 1, -1265049, -548082755]$ |
\(y^2+y=x^3+x^2-1265049x-548082755\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
170093.c1 |
170093c1 |
170093.c |
170093c |
$3$ |
$9$ |
\( 7 \cdot 11 \cdot 47^{2} \) |
\( - 7^{2} \cdot 11 \cdot 47^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$65142$ |
$144$ |
$3$ |
$11.78082434$ |
$1$ |
|
$4$ |
$706560$ |
$1.630074$ |
$-78843215872/539$ |
$[0, 1, 1, -197337, -33807293]$ |
\(y^2+y=x^3+x^2-197337x-33807293\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
190575.cr1 |
190575co1 |
190575.cr |
190575co |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6930$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$2592000$ |
$2.257973$ |
$-78843215872/539$ |
$[0, 0, 1, -2432100, 1459899031]$ |
\(y^2+y=x^3-2432100x+1459899031\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 30.8.0-3.a.1.2, 63.36.0.e.1, $\ldots$ |
194579.j1 |
194579j1 |
194579.j |
194579j |
$3$ |
$9$ |
\( 7^{2} \cdot 11 \cdot 19^{2} \) |
\( - 7^{8} \cdot 11 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$26334$ |
$144$ |
$3$ |
$2.705902606$ |
$1$ |
|
$0$ |
$2280960$ |
$2.150173$ |
$-78843215872/539$ |
$[0, 1, 1, -1580217, 764058502]$ |
\(y^2+y=x^3+x^2-1580217x+764058502\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |
200277.r1 |
200277r1 |
200277.r |
200277r |
$3$ |
$9$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{6} \cdot 7^{2} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$23562$ |
$144$ |
$3$ |
$1$ |
$4$ |
$2$ |
$0$ |
$921600$ |
$1.670914$ |
$-78843215872/539$ |
$[0, 0, 1, -232356, -43110347]$ |
\(y^2+y=x^3-232356x-43110347\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 51.8.0-3.a.1.1, 63.36.0.e.1, $\ldots$ |
208208.o1 |
208208i1 |
208208.o |
208208i |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 7^{2} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$36036$ |
$144$ |
$3$ |
$5.059389257$ |
$1$ |
|
$2$ |
$1036800$ |
$1.680622$ |
$-78843215872/539$ |
$[0, -1, 0, -241557, -45615779]$ |
\(y^2=x^3-x^2-241557x-45615779\) |
3.4.0.a.1, 9.12.0.a.1, 22.2.0.a.1, 63.36.0.e.1, 66.8.0.a.1, $\ldots$ |