| 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 |
| 7938.a1 |
7938c1 |
7938.a |
7938c |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$4.123448492$ |
$1$ |
|
$2$ |
$26208$ |
$1.145451$ |
$68841801/8192$ |
$0.97947$ |
$4.23291$ |
$[1, -1, 0, -6624, -183296]$ |
\(y^2+xy=x^3-x^2-6624x-183296\) |
8.2.0.b.1 |
$[(-57, 110)]$ |
| 7938.b1 |
7938i2 |
7938.b |
7938i |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$252$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$127008$ |
$2.108574$ |
$9074457/4096$ |
$1.08406$ |
$5.41944$ |
$[1, -1, 0, -230946, -19979884]$ |
\(y^2+xy=x^3-x^2-230946x-19979884\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 7938.b2 |
7938i1 |
7938.b |
7938i |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$252$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$42336$ |
$1.559269$ |
$35801587017/16$ |
$1.05962$ |
$5.36280$ |
$[1, -1, 0, -194931, -33077339]$ |
\(y^2+xy=x^3-x^2-194931x-33077339\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 7938.c1 |
7938p2 |
7938.c |
7938p |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$504$ |
$96$ |
$2$ |
$0.224964064$ |
$1$ |
|
$8$ |
$3888$ |
$0.358417$ |
$1876833/64$ |
$0.92331$ |
$3.26558$ |
$[1, -1, 0, -366, 2708]$ |
\(y^2+xy=x^3-x^2-366x+2708\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 21.8.0-3.a.1.2, 24.16.0.a.1, $\ldots$ |
$[(4, 34)]$ |
| 7938.c2 |
7938p1 |
7938.c |
7938p |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$504$ |
$96$ |
$2$ |
$0.674892192$ |
$1$ |
|
$4$ |
$1296$ |
$-0.190889$ |
$415233/4$ |
$0.91249$ |
$2.60820$ |
$[1, -1, 0, -51, -127]$ |
\(y^2+xy=x^3-x^2-51x-127\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 21.8.0-3.a.1.1, 24.16.0.a.2, $\ldots$ |
$[(-4, 3)]$ |
| 7938.d1 |
7938j2 |
7938.d |
7938j |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$1.775312$ |
$-60698457/200704$ |
$1.01233$ |
$4.97631$ |
$[1, -1, 0, -32496, 5850368]$ |
\(y^2+xy=x^3-x^2-32496x+5850368\) |
3.4.0.a.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.8.0.a.1, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 7938.d2 |
7938j1 |
7938.d |
7938j |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.226007$ |
$505636983/1882384$ |
$1.01293$ |
$4.21004$ |
$[1, -1, 0, 3519, -188147]$ |
\(y^2+xy=x^3-x^2+3519x-188147\) |
3.4.0.a.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.8.0.a.1, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 7938.e1 |
7938f1 |
7938.e |
7938f |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$0.749525$ |
$934407/6272$ |
$0.96273$ |
$3.58356$ |
$[1, -1, 0, 432, 11136]$ |
\(y^2+xy=x^3-x^2+432x+11136\) |
8.2.0.a.1 |
$[]$ |
| 7938.f1 |
7938o1 |
7938.f |
7938o |
$2$ |
$7$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2 \cdot 3^{10} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$504$ |
$96$ |
$2$ |
$0.757802814$ |
$1$ |
|
$4$ |
$4032$ |
$0.489764$ |
$-18435447/2$ |
$0.97697$ |
$3.73675$ |
$[1, -1, 0, -1500, 22742]$ |
\(y^2+xy=x^3-x^2-1500x+22742\) |
7.8.0.a.1, 21.16.0-7.a.1.1, 56.16.0.d.1, 63.48.0-63.c.1.3, 168.32.0.?, $\ldots$ |
$[(23, -8)]$ |
| 7938.f2 |
7938o2 |
7938.f |
7938o |
$2$ |
$7$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{10} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$504$ |
$96$ |
$2$ |
$5.304619700$ |
$1$ |
|
$0$ |
$28224$ |
$1.462719$ |
$44217/128$ |
$0.95905$ |
$4.51956$ |
$[1, -1, 0, 9840, -754048]$ |
\(y^2+xy=x^3-x^2+9840x-754048\) |
7.8.0.a.1, 21.16.0-7.a.1.2, 56.16.0.d.1, 63.48.0-63.c.2.2, 168.32.0.?, $\ldots$ |
$[(1709/5, 56267/5)]$ |
| 7938.g1 |
7938a2 |
7938.g |
7938a |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1.943289056$ |
$1$ |
|
$2$ |
$18144$ |
$1.271418$ |
$23625/8$ |
$0.87466$ |
$4.32330$ |
$[1, -1, 0, -8682, -198388]$ |
\(y^2+xy=x^3-x^2-8682x-198388\) |
3.8.0-3.a.1.1, 8.2.0.b.1, 24.16.0-24.b.1.4 |
$[(-61, 349)]$ |
| 7938.g2 |
7938a1 |
7938.g |
7938a |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$5.829867168$ |
$1$ |
|
$2$ |
$6048$ |
$0.722111$ |
$10481625/2$ |
$0.94834$ |
$4.02330$ |
$[1, -1, 0, -3537, 81843]$ |
\(y^2+xy=x^3-x^2-3537x+81843\) |
3.8.0-3.a.1.2, 8.2.0.b.1, 24.16.0-24.b.1.8 |
$[(103/3, 5429/3)]$ |
| 7938.h1 |
7938d2 |
7938.h |
7938d |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.298462$ |
$23625/8$ |
$0.87466$ |
$3.02305$ |
$[1, -1, 0, -177, 629]$ |
\(y^2+xy=x^3-x^2-177x+629\) |
3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.2, 24.8.0.b.1, 168.16.0.? |
$[]$ |
| 7938.h2 |
7938d1 |
7938.h |
7938d |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$864$ |
$-0.250844$ |
$10481625/2$ |
$0.94834$ |
$2.72305$ |
$[1, -1, 0, -72, -218]$ |
\(y^2+xy=x^3-x^2-72x-218\) |
3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.1, 24.8.0.b.1, 168.16.0.? |
$[]$ |
| 7938.i1 |
7938m3 |
7938.i |
7938m |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$10.13703660$ |
$1$ |
|
$0$ |
$15120$ |
$1.242323$ |
$-189613868625/128$ |
$1.12596$ |
$4.92631$ |
$[1, -1, 0, -52782, -4654252]$ |
\(y^2+xy=x^3-x^2-52782x-4654252\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.4.4, 24.8.0.a.1, $\ldots$ |
$[(138569/17, 42791946/17)]$ |
| 7938.i2 |
7938m4 |
7938.i |
7938m |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$3.379012201$ |
$1$ |
|
$2$ |
$45360$ |
$1.791630$ |
$-1159088625/2097152$ |
$1.11235$ |
$5.00588$ |
$[1, -1, 0, -41757, -6661243]$ |
\(y^2+xy=x^3-x^2-41757x-6661243\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.1.1, 24.8.0.a.1, $\ldots$ |
$[(751, 19249)]$ |
| 7938.i3 |
7938m2 |
7938.i |
7938m |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$0.482716028$ |
$1$ |
|
$4$ |
$6480$ |
$0.818674$ |
$-140625/8$ |
$1.17810$ |
$3.85428$ |
$[1, -1, 0, -2067, 38429]$ |
\(y^2+xy=x^3-x^2-2067x+38429\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.3.1, 24.8.0.a.1, $\ldots$ |
$[(-5, 223)]$ |
| 7938.i4 |
7938m1 |
7938.i |
7938m |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2 \cdot 3^{6} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1.448148086$ |
$1$ |
|
$2$ |
$2160$ |
$0.269368$ |
$3375/2$ |
$1.42657$ |
$2.93909$ |
$[1, -1, 0, 138, 62]$ |
\(y^2+xy=x^3-x^2+138x+62\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.2.4, 24.8.0.a.1, $\ldots$ |
$[(23, 111)]$ |
| 7938.j1 |
7938e1 |
7938.j |
7938e |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.965198$ |
$-15590912409/784$ |
$0.99105$ |
$4.40340$ |
$[1, -1, 0, -11034, -443388]$ |
\(y^2+xy=x^3-x^2-11034x-443388\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[]$ |
| 7938.k1 |
7938n2 |
7938.k |
7938n |
$2$ |
$7$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2 \cdot 3^{10} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$504$ |
$96$ |
$2$ |
$3.984846149$ |
$1$ |
|
$2$ |
$28224$ |
$1.462719$ |
$-18435447/2$ |
$0.97697$ |
$5.03700$ |
$[1, -1, 0, -73509, -7653493]$ |
\(y^2+xy=x^3-x^2-73509x-7653493\) |
7.8.0.a.1, 21.16.0-7.a.1.2, 56.16.0.d.1, 63.48.0-63.c.1.1, 168.32.0.?, $\ldots$ |
$[(4153, 264949)]$ |
| 7938.k2 |
7938n1 |
7938.k |
7938n |
$2$ |
$7$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{10} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$504$ |
$96$ |
$2$ |
$0.569263735$ |
$1$ |
|
$4$ |
$4032$ |
$0.489764$ |
$44217/128$ |
$0.95905$ |
$3.21932$ |
$[1, -1, 0, 201, 2141]$ |
\(y^2+xy=x^3-x^2+201x+2141\) |
7.8.0.a.1, 21.16.0-7.a.1.1, 56.16.0.d.1, 63.48.0-63.c.2.1, 168.32.0.?, $\ldots$ |
$[(-5, 34)]$ |
| 7938.l1 |
7938h2 |
7938.l |
7938h |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{12} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$1.120995$ |
$-185193/56$ |
$0.86004$ |
$4.16601$ |
$[1, -1, 0, -4713, 154853]$ |
\(y^2+xy=x^3-x^2-4713x+154853\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 24.8.0-3.a.1.5, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 7938.l2 |
7938h1 |
7938.l |
7938h |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2 \cdot 3^{4} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.571689$ |
$934407/686$ |
$0.92779$ |
$3.32066$ |
$[1, -1, 0, 432, -1898]$ |
\(y^2+xy=x^3-x^2+432x-1898\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 24.8.0-3.a.1.6, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 7938.m1 |
7938b2 |
7938.m |
7938b |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.2, 3.8.0.2 |
2Cn, 3B.1.2 |
$252$ |
$96$ |
$2$ |
$0.889453451$ |
$1$ |
|
$4$ |
$18144$ |
$1.135620$ |
$9074457/4096$ |
$1.08406$ |
$4.11919$ |
$[1, -1, 0, -4713, 59597]$ |
\(y^2+xy=x^3-x^2-4713x+59597\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 4.4.0-2.a.1.1, 6.16.0-6.a.1.1, 12.32.0-12.a.1.1, $\ldots$ |
$[(2, 223)]$ |
| 7938.m2 |
7938b1 |
7938.m |
7938b |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.2, 3.8.0.1 |
2Cn, 3B.1.1 |
$252$ |
$96$ |
$2$ |
$2.668360355$ |
$1$ |
|
$4$ |
$6048$ |
$0.586314$ |
$35801587017/16$ |
$1.05962$ |
$4.06255$ |
$[1, -1, 0, -3978, 97572]$ |
\(y^2+xy=x^3-x^2-3978x+97572\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 4.4.0-2.a.1.1, 6.16.0-6.a.1.2, 12.32.0-12.a.2.4, $\ldots$ |
$[(-68, 258)]$ |
| 7938.n1 |
7938g1 |
7938.n |
7938g |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$84$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.375149$ |
$-35937/4$ |
$1.00607$ |
$3.22210$ |
$[1, -1, 0, -303, -2143]$ |
\(y^2+xy=x^3-x^2-303x-2143\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 21.8.0-3.a.1.1, 84.128.1.? |
$[]$ |
| 7938.n2 |
7938g2 |
7938.n |
7938g |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$84$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.924455$ |
$109503/64$ |
$1.28549$ |
$3.81598$ |
$[1, -1, 0, 1902, 2708]$ |
\(y^2+xy=x^3-x^2+1902x+2708\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 21.8.0-3.a.1.2, 84.128.1.? |
$[]$ |
| 7938.o1 |
7938l2 |
7938.o |
7938l |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.2 |
2Cn, 3B.1.2 |
$504$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$27216$ |
$1.331371$ |
$1876833/64$ |
$0.92331$ |
$4.56583$ |
$[1, -1, 0, -17943, -892963]$ |
\(y^2+xy=x^3-x^2-17943x-892963\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 6.16.0-6.a.1.1, 24.32.0-24.a.1.6, 126.48.0.?, $\ldots$ |
$[]$ |
| 7938.o2 |
7938l1 |
7938.o |
7938l |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 7^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.1 |
2Cn, 3B.1.1 |
$504$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$9072$ |
$0.782065$ |
$415233/4$ |
$0.91249$ |
$3.90844$ |
$[1, -1, 0, -2508, 48572]$ |
\(y^2+xy=x^3-x^2-2508x+48572\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 6.16.0-6.a.1.2, 24.32.0-24.a.2.7, 126.48.0.?, $\ldots$ |
$[]$ |
| 7938.p1 |
7938k1 |
7938.p |
7938k |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3744$ |
$0.172495$ |
$68841801/8192$ |
$0.97947$ |
$2.93266$ |
$[1, -1, 0, -135, 573]$ |
\(y^2+xy=x^3-x^2-135x+573\) |
8.2.0.b.1 |
$[]$ |
| 7938.q1 |
7938bb1 |
7938.q |
7938bb |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{10} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.151367233$ |
$1$ |
|
$10$ |
$11232$ |
$0.721802$ |
$68841801/8192$ |
$0.97947$ |
$3.66675$ |
$[1, -1, 1, -1217, -14255]$ |
\(y^2+xy+y=x^3-x^2-1217x-14255\) |
8.2.0.b.1 |
$[(-17, 44)]$ |
| 7938.r1 |
7938r2 |
7938.r |
7938r |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.1, 3.8.0.2 |
2Cn, 3B.1.2 |
$504$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$27216$ |
$1.331371$ |
$415233/4$ |
$0.91249$ |
$4.64253$ |
$[1, -1, 1, -22574, -1288871]$ |
\(y^2+xy+y=x^3-x^2-22574x-1288871\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 6.16.0-6.a.1.1, 8.4.0-2.a.1.1, 24.32.0-24.a.2.4, $\ldots$ |
$[]$ |
| 7938.r2 |
7938r1 |
7938.r |
7938r |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.1, 3.8.0.1 |
2Cn, 3B.1.1 |
$504$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$9072$ |
$0.782065$ |
$1876833/64$ |
$0.92331$ |
$3.83174$ |
$[1, -1, 1, -1994, 33737]$ |
\(y^2+xy+y=x^3-x^2-1994x+33737\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 6.16.0-6.a.1.2, 8.4.0-2.a.1.1, 24.32.0-24.a.1.7, $\ldots$ |
$[]$ |
| 7938.s1 |
7938ba2 |
7938.s |
7938ba |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{12} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$84$ |
$128$ |
$1$ |
$1.373693536$ |
$1$ |
|
$2$ |
$10368$ |
$0.924455$ |
$-35937/4$ |
$1.00607$ |
$3.95619$ |
$[1, -1, 1, -2729, 60589]$ |
\(y^2+xy+y=x^3-x^2-2729x+60589\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 21.8.0-3.a.1.2, 28.16.0-4.b.1.1, $\ldots$ |
$[(23, 86)]$ |
| 7938.s2 |
7938ba1 |
7938.s |
7938ba |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$84$ |
$128$ |
$1$ |
$0.457897845$ |
$1$ |
|
$4$ |
$3456$ |
$0.375149$ |
$109503/64$ |
$1.28549$ |
$3.08189$ |
$[1, -1, 1, 211, -171]$ |
\(y^2+xy+y=x^3-x^2+211x-171\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 21.8.0-3.a.1.1, 28.16.0-4.b.1.1, $\ldots$ |
$[(9, 44)]$ |
| 7938.t1 |
7938bc2 |
7938.t |
7938bc |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.2 |
2Cn, 3B.1.2 |
$252$ |
$96$ |
$2$ |
$1.276482894$ |
$1$ |
|
$4$ |
$18144$ |
$1.135620$ |
$35801587017/16$ |
$1.05962$ |
$4.79664$ |
$[1, -1, 1, -35804, -2598641]$ |
\(y^2+xy+y=x^3-x^2-35804x-2598641\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 6.16.0-6.a.1.1, 12.32.0-12.a.2.1, 126.48.0.?, $\ldots$ |
$[(-109, 55)]$ |
| 7938.t2 |
7938bc1 |
7938.t |
7938bc |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.1 |
2Cn, 3B.1.1 |
$252$ |
$96$ |
$2$ |
$0.425494298$ |
$1$ |
|
$16$ |
$6048$ |
$0.586314$ |
$9074457/4096$ |
$1.08406$ |
$3.38511$ |
$[1, -1, 1, -524, -2033]$ |
\(y^2+xy+y=x^3-x^2-524x-2033\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 6.16.0-6.a.1.2, 12.32.0-12.a.1.4, 126.48.0.?, $\ldots$ |
$[(-5, 23)]$ |
| 7938.u1 |
7938bf1 |
7938.u |
7938bf |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.571689$ |
$-185193/56$ |
$0.86004$ |
$3.43192$ |
$[1, -1, 1, -524, -5561]$ |
\(y^2+xy+y=x^3-x^2-524x-5561\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 24.8.0-3.a.1.6, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 7938.u2 |
7938bf2 |
7938.u |
7938bf |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2 \cdot 3^{10} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$1.120995$ |
$934407/686$ |
$0.92779$ |
$4.05475$ |
$[1, -1, 1, 3886, 47359]$ |
\(y^2+xy+y=x^3-x^2+3886x+47359\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 24.8.0-3.a.1.5, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 7938.v1 |
7938x2 |
7938.v |
7938x |
$2$ |
$7$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2 \cdot 3^{4} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.1 |
7B.2.1 |
$504$ |
$96$ |
$2$ |
$2.288628477$ |
$1$ |
|
$0$ |
$9408$ |
$0.913413$ |
$-18435447/2$ |
$0.97697$ |
$4.30291$ |
$[1, -1, 1, -8168, 286185]$ |
\(y^2+xy+y=x^3-x^2-8168x+286185\) |
7.16.0-7.a.1.2, 56.32.0-56.d.1.1, 63.48.0-63.c.1.4, 504.96.2.? |
$[(837/4, -1363/4)]$ |
| 7938.v2 |
7938x1 |
7938.v |
7938x |
$2$ |
$7$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{4} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.2 |
7B.2.3 |
$504$ |
$96$ |
$2$ |
$0.326946925$ |
$1$ |
|
$6$ |
$1344$ |
$-0.059542$ |
$44217/128$ |
$0.95905$ |
$2.48523$ |
$[1, -1, 1, 22, -87]$ |
\(y^2+xy+y=x^3-x^2+22x-87\) |
7.16.0-7.a.1.1, 56.32.0-56.d.1.2, 63.48.0-63.c.2.4, 504.96.2.? |
$[(9, 23)]$ |
| 7938.w1 |
7938w1 |
7938.w |
7938w |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$0.347769821$ |
$1$ |
|
$6$ |
$27648$ |
$1.514503$ |
$-15590912409/784$ |
$0.99105$ |
$5.13749$ |
$[1, -1, 1, -99308, 12070783]$ |
\(y^2+xy+y=x^3-x^2-99308x+12070783\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[(163, 359)]$ |
| 7938.x1 |
7938u4 |
7938.x |
7938u |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{12} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.16.0.1 |
3B, 7B.2.1 |
$504$ |
$768$ |
$21$ |
$0.719702593$ |
$1$ |
|
$4$ |
$45360$ |
$1.791630$ |
$-189613868625/128$ |
$1.12596$ |
$5.66040$ |
$[1, -1, 1, -475040, 126139843]$ |
\(y^2+xy+y=x^3-x^2-475040x+126139843\) |
3.4.0.a.1, 7.16.0-7.a.1.2, 8.2.0.a.1, 21.128.1-21.a.4.1, 24.8.0.a.1, $\ldots$ |
$[(401, -103)]$ |
| 7938.x2 |
7938u3 |
7938.x |
7938u |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.16.0.1 |
3B, 7B.2.1 |
$504$ |
$768$ |
$21$ |
$0.239900864$ |
$1$ |
|
$6$ |
$15120$ |
$1.242323$ |
$-1159088625/2097152$ |
$1.11235$ |
$4.27180$ |
$[1, -1, 1, -4640, 248259]$ |
\(y^2+xy+y=x^3-x^2-4640x+248259\) |
3.4.0.a.1, 7.16.0-7.a.1.2, 8.2.0.a.1, 21.128.1-21.a.1.4, 24.8.0.a.1, $\ldots$ |
$[(93, 737)]$ |
| 7938.x3 |
7938u1 |
7938.x |
7938u |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.16.0.2 |
3B, 7B.2.3 |
$504$ |
$768$ |
$21$ |
$1.679306052$ |
$1$ |
|
$2$ |
$2160$ |
$0.269368$ |
$-140625/8$ |
$1.17810$ |
$3.12019$ |
$[1, -1, 1, -230, -1347]$ |
\(y^2+xy+y=x^3-x^2-230x-1347\) |
3.4.0.a.1, 7.16.0-7.a.1.1, 8.2.0.a.1, 21.128.1-21.a.3.4, 24.8.0.a.1, $\ldots$ |
$[(51, 317)]$ |
| 7938.x4 |
7938u2 |
7938.x |
7938u |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2 \cdot 3^{12} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.16.0.2 |
3B, 7B.2.3 |
$504$ |
$768$ |
$21$ |
$5.037918157$ |
$1$ |
|
$0$ |
$6480$ |
$0.818674$ |
$3375/2$ |
$1.42657$ |
$3.67317$ |
$[1, -1, 1, 1240, -2915]$ |
\(y^2+xy+y=x^3-x^2+1240x-2915\) |
3.4.0.a.1, 7.16.0-7.a.1.1, 8.2.0.a.1, 21.128.1-21.a.2.1, 24.8.0.a.1, $\ldots$ |
$[(725/4, 22871/4)]$ |
| 7938.y1 |
7938q2 |
7938.y |
7938q |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18144$ |
$1.271418$ |
$10481625/2$ |
$0.94834$ |
$4.75738$ |
$[1, -1, 1, -31835, -2177927]$ |
\(y^2+xy+y=x^3-x^2-31835x-2177927\) |
3.8.0-3.a.1.1, 8.2.0.b.1, 24.16.0-24.b.1.4 |
$[]$ |
| 7938.y2 |
7938q1 |
7938.y |
7938q |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6048$ |
$0.722111$ |
$23625/8$ |
$0.87466$ |
$3.58921$ |
$[1, -1, 1, -965, 7669]$ |
\(y^2+xy+y=x^3-x^2-965x+7669\) |
3.8.0-3.a.1.2, 8.2.0.b.1, 24.16.0-24.b.1.8 |
$[]$ |
| 7938.z1 |
7938t2 |
7938.z |
7938t |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.738334435$ |
$1$ |
|
$0$ |
$2592$ |
$0.298462$ |
$10481625/2$ |
$0.94834$ |
$3.45714$ |
$[1, -1, 1, -650, 6535]$ |
\(y^2+xy+y=x^3-x^2-650x+6535\) |
3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.2, 24.8.0.b.1, 168.16.0.? |
$[(59/2, -55/2)]$ |
| 7938.z2 |
7938t1 |
7938.z |
7938t |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.912778145$ |
$1$ |
|
$4$ |
$864$ |
$-0.250844$ |
$23625/8$ |
$0.87466$ |
$2.28896$ |
$[1, -1, 1, -20, -17]$ |
\(y^2+xy+y=x^3-x^2-20x-17\) |
3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.1, 24.8.0.b.1, 168.16.0.? |
$[(-1, 1)]$ |
