| 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 |
| 15.a2 |
15a2 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3^{8} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.58 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.055704$ |
$272223782641/164025$ |
$1.03897$ |
$9.72282$ |
$[1, 1, 1, -135, -660]$ |
\(y^2+xy+y=x^3+x^2-135x-660\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.k.1.1, 20.48.0-20.c.1.2, 40.192.1-40.cc.2.4, $\ldots$ |
$[]$ |
| 15.a4 |
15a7 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3 \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.5 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.402277$ |
$56667352321/15$ |
$1.03019$ |
$9.14328$ |
$[1, 1, 1, -80, 242]$ |
\(y^2+xy+y=x^3+x^2-80x+242\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.by.2.3, $\ldots$ |
$[]$ |
| 15.a7 |
15a8 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( - 3 \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.5 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-1.095425$ |
$-1/15$ |
$1.19808$ |
$3.75281$ |
$[1, 1, 1, 0, 0]$ |
\(y^2+xy+y=x^3+x^2\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.bz.1.3, $\ldots$ |
$[]$ |
| 17.a2 |
17a2 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.13 |
2Cs |
$544$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.723209$ |
$20346417/289$ |
$1.02963$ |
$5.93969$ |
$[1, -1, 1, -6, -4]$ |
\(y^2+xy+y=x^3-x^2-6x-4\) |
2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.f.1.1, 16.96.0-16.c.2.2, 68.48.0-68.b.1.1, $\ldots$ |
$[]$ |
| 17.a3 |
17a1 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( - 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.32 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$2$ |
$1$ |
$-0.376636$ |
$-35937/83521$ |
$1.18071$ |
$6.63128$ |
$[1, -1, 1, -1, -14]$ |
\(y^2+xy+y=x^3-x^2-x-14\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.t.1.2, 16.96.0-16.m.2.1, 136.96.1.?, $\ldots$ |
$[]$ |
| 17.a4 |
17a4 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.10 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-1.069784$ |
$35937/17$ |
$1.02432$ |
$3.70234$ |
$[1, -1, 1, -1, 0]$ |
\(y^2+xy+y=x^3-x^2-x\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.j.1.1, 32.96.0-32.f.2.2, $\ldots$ |
$[]$ |
| 21.a2 |
21a2 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.34 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.272368$ |
$13027640977/21609$ |
$1.08149$ |
$7.64992$ |
$[1, 0, 0, -49, -136]$ |
\(y^2+xy=x^3-49x-136\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.1.1, 12.48.0-12.c.1.3, 24.96.0-24.j.2.5, $\ldots$ |
$[]$ |
| 21.a6 |
21a4 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( - 3^{2} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.27 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.965515$ |
$103823/63$ |
$0.97868$ |
$3.79384$ |
$[1, 0, 0, 1, 0]$ |
\(y^2+xy=x^3+x\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 14.6.0.b.1, 16.48.0-16.e.1.2, $\ldots$ |
$[]$ |
| 24.a2 |
24a3 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{10} \cdot 3 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.106 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.298779$ |
$28756228/3$ |
$1.05617$ |
$7.58509$ |
$[0, -1, 0, -64, 220]$ |
\(y^2=x^3-x^2-64x+220\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 12.24.0-12.h.1.2, 16.96.0-16.bb.2.4, $\ldots$ |
$[]$ |
| 24.a3 |
24a2 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.49 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.298779$ |
$1556068/81$ |
$1.03212$ |
$6.66733$ |
$[0, -1, 0, -24, -36]$ |
\(y^2=x^3-x^2-24x-36\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.e.2.2, 24.192.1-24.bl.2.4 |
$[]$ |
| 24.a5 |
24a4 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( - 2^{4} \cdot 3 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.110 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.991926$ |
$2048/3$ |
$1.17572$ |
$3.40564$ |
$[0, -1, 0, 1, 0]$ |
\(y^2=x^3-x^2+x\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.2, 12.24.0-12.g.1.2, $\ldots$ |
$[]$ |
| 30.a3 |
30a6 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$12$ |
$0.217592$ |
$4102915888729/9000000$ |
$1.05221$ |
$8.53897$ |
$[1, 0, 1, -334, -2368]$ |
\(y^2+xy+y=x^3-334x-2368\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 12.96.0-12.a.1.15, $\ldots$ |
$[]$ |
| 32.a2 |
32a4 |
32.a |
32a |
$4$ |
$4$ |
\( 2^{5} \) |
\( 2^{9} \) |
$0$ |
$\Z/4\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.3.540 |
2B |
|
|
|
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.617386$ |
$287496$ |
$1.17246$ |
$5.42664$ |
$[0, 0, 0, -11, 14]$ |
\(y^2=x^3-11x+14\) |
|
$[]$ |
| 32.a3 |
32a2 |
32.a |
32a |
$4$ |
$4$ |
\( 2^{5} \) |
\( 2^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.384.9.568 |
2Cs |
|
|
|
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.963960$ |
$1728$ |
|
$3.35098$ |
$[0, 0, 0, -1, 0]$ |
\(y^2=x^3-x\) |
|
$[]$ |
| 32.a4 |
32a1 |
32.a |
32a |
$4$ |
$4$ |
\( 2^{5} \) |
\( - 2^{12} \) |
$0$ |
$\Z/4\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.384.9.633 |
2B |
|
|
|
$1$ |
$1$ |
|
$3$ |
$1$ |
$-0.617386$ |
$1728$ |
|
$4.55098$ |
$[0, 0, 0, 4, 0]$ |
\(y^2=x^3+4x\) |
|
$[]$ |
| 33.a1 |
33a3 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( 3^{3} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.012632$ |
$347873904937/395307$ |
$1.00913$ |
$7.60047$ |
$[1, 1, 0, -146, 621]$ |
\(y^2+xy=x^3+x^2-146x+621\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.? |
$[]$ |
| 33.a2 |
33a1 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3$ |
$-0.359206$ |
$169112377/88209$ |
$1.00669$ |
$5.41857$ |
$[1, 1, 0, -11, 0]$ |
\(y^2+xy=x^3+x^2-11x\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 44.24.0-44.b.1.2, 132.48.0.? |
$[]$ |
| 39.a2 |
39a3 |
39.a |
39a |
$4$ |
$4$ |
\( 3 \cdot 13 \) |
\( 3 \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.318367$ |
$822656953/85683$ |
$0.96086$ |
$5.60330$ |
$[1, 1, 0, -19, 22]$ |
\(y^2+xy=x^3+x^2-19x+22\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[]$ |
| 39.a3 |
39a1 |
39.a |
39a |
$4$ |
$4$ |
\( 3 \cdot 13 \) |
\( 3^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.664940$ |
$10218313/1521$ |
$0.91403$ |
$4.40546$ |
$[1, 1, 0, -4, -5]$ |
\(y^2+xy=x^3+x^2-4x-5\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.2, 156.48.0.? |
$[]$ |
| 40.a2 |
40a1 |
40.a |
40a |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \) |
\( 2^{8} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.39 |
2Cs |
$40$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.548787$ |
$148176/25$ |
$1.09175$ |
$4.73080$ |
$[0, 0, 0, -7, -6]$ |
\(y^2=x^3-7x-6\) |
2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.g.1.1, 20.48.0-20.b.1.1, 40.192.3-40.bk.1.5 |
$[]$ |
| 40.a3 |
40a3 |
40.a |
40a |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \) |
\( 2^{4} \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.39 |
2B |
$80$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.895361$ |
$55296/5$ |
$1.01898$ |
$3.71198$ |
$[0, 0, 0, -2, 1]$ |
\(y^2=x^3-2x+1\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 10.6.0.a.1, 16.48.0-16.i.1.1, $\ldots$ |
$[]$ |
| 40.a4 |
40a4 |
40.a |
40a |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \) |
\( - 2^{10} \cdot 5^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.48.0.2 |
2B |
$80$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.202214$ |
$237276/625$ |
$1.04671$ |
$5.57781$ |
$[0, 0, 0, 13, -34]$ |
\(y^2=x^3+13x-34\) |
2.3.0.a.1, 4.48.0-4.c.1.1, 40.96.1-40.dk.1.1, 80.192.3.? |
$[]$ |
| 42.a1 |
42a4 |
42.a |
42a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.103 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$16$ |
$0.189101$ |
$268498407453697/252$ |
$1.05727$ |
$8.88893$ |
$[1, 1, 1, -1344, 18405]$ |
\(y^2+xy+y=x^3+x^2-1344x+18405\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 16.96.0-16.z.2.3, 28.24.0-28.h.1.2, $\ldots$ |
$[]$ |
| 42.a3 |
42a3 |
42.a |
42a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.50 |
2Cs |
$56$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$16$ |
$0.189101$ |
$124475734657/63011844$ |
$1.06499$ |
$6.83511$ |
$[1, 1, 1, -104, 101]$ |
\(y^2+xy+y=x^3+x^2-104x+101\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.f.1.1, 56.192.1-56.bp.2.4 |
$[]$ |
| 45.a2 |
45a5 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{14} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.56 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$16$ |
$0.493602$ |
$272223782641/164025$ |
$1.03897$ |
$8.64841$ |
$[1, -1, 0, -1215, 16600]$ |
\(y^2+xy=x^3-x^2-1215x+16600\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.1, 16.96.0-8.k.1.2, $\ldots$ |
$[]$ |
| 45.a5 |
45a4 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{10} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.87 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$0.147029$ |
$111284641/50625$ |
$1.02534$ |
$6.59877$ |
$[1, -1, 0, -90, 175]$ |
\(y^2+xy=x^3-x^2-90x+175\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.6, 12.48.0-4.b.1.1, 24.192.1-24.n.1.8, $\ldots$ |
$[]$ |
| 45.a6 |
45a2 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{8} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.33 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.199545$ |
$13997521/225$ |
$0.96230$ |
$6.05414$ |
$[1, -1, 0, -45, -104]$ |
\(y^2+xy=x^3-x^2-45x-104\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.6, 12.24.0-4.b.1.3, 16.96.0-16.d.2.4, $\ldots$ |
$[]$ |
| 48.a1 |
48a5 |
48.a |
48a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \) |
\( 2^{11} \cdot 3^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.93 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$8$ |
$0.047795$ |
$3065617154/9$ |
$1.21059$ |
$7.61214$ |
$[0, 1, 0, -384, 2772]$ |
\(y^2=x^3+x^2-384x+2772\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.r.1.2, 16.96.0-16.l.1.2, 24.96.0-24.bf.1.8, $\ldots$ |
$[]$ |
| 48.a4 |
48a1 |
48.a |
48a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \) |
\( 2^{8} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.53 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.645352$ |
$35152/9$ |
$0.97255$ |
$4.13634$ |
$[0, 1, 0, -4, -4]$ |
\(y^2=x^3+x^2-4x-4\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.h.1.2, 12.48.0-12.c.1.3, 24.192.1-24.bu.1.1 |
$[]$ |
| 55.a1 |
55a3 |
55.a |
55a |
$4$ |
$4$ |
\( 5 \cdot 11 \) |
\( 5^{4} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.285666$ |
$22930509321/6875$ |
$1.07717$ |
$5.95302$ |
$[1, -1, 0, -59, 190]$ |
\(y^2+xy=x^3-x^2-59x+190\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 44.24.0-44.h.1.2, 440.48.0.? |
$[]$ |
| 55.a3 |
55a1 |
55.a |
55a |
$4$ |
$4$ |
\( 5 \cdot 11 \) |
\( 5^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.632239$ |
$8120601/3025$ |
$1.05560$ |
$3.97020$ |
$[1, -1, 0, -4, 3]$ |
\(y^2+xy=x^3-x^2-4x+3\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 44.24.0-44.a.1.1, 220.48.0.? |
$[]$ |
| 56.a3 |
56a2 |
56.a |
56a |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \) |
\( 2^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.348607$ |
$740772/49$ |
$1.06534$ |
$5.07954$ |
$[0, 0, 0, -19, 30]$ |
\(y^2=x^3-19x+30\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3 |
$[]$ |
| 56.a4 |
56a1 |
56.a |
56a |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \) |
\( - 2^{8} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.50 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.695180$ |
$432/7$ |
$0.89152$ |
$3.70389$ |
$[0, 0, 0, 1, 2]$ |
\(y^2=x^3+x+2\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[]$ |
| 57.c1 |
57b3 |
57.c |
57b |
$4$ |
$4$ |
\( 3 \cdot 19 \) |
\( 3^{4} \cdot 19 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.245009$ |
$115714886617/1539$ |
$0.98111$ |
$6.30078$ |
$[1, 0, 1, -102, 385]$ |
\(y^2+xy+y=x^3-102x+385\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 76.24.0.?, 456.48.0.? |
$[]$ |
| 57.c2 |
57b1 |
57.c |
57b |
$4$ |
$4$ |
\( 3 \cdot 19 \) |
\( 3^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3$ |
$-0.591582$ |
$30664297/3249$ |
$0.90727$ |
$4.26376$ |
$[1, 0, 1, -7, 5]$ |
\(y^2+xy+y=x^3-7x+5\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.? |
$[]$ |
| 62.a3 |
62a2 |
62.a |
62a |
$4$ |
$4$ |
\( 2 \cdot 31 \) |
\( 2^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.1 |
2Cs |
$248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.454651$ |
$979146657/3844$ |
$1.02504$ |
$5.01612$ |
$[1, -1, 1, -21, 41]$ |
\(y^2+xy+y=x^3-x^2-21x+41\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 124.24.0.?, 248.48.0.? |
$[]$ |
| 62.a4 |
62a1 |
62.a |
62a |
$4$ |
$4$ |
\( 2 \cdot 31 \) |
\( - 2^{4} \cdot 31 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.50 |
2B |
$248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.801225$ |
$-35937/496$ |
$0.93090$ |
$3.32007$ |
$[1, -1, 1, -1, 1]$ |
\(y^2+xy+y=x^3-x^2-x+1\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 62.6.0.b.1, 124.24.0.?, $\ldots$ |
$[]$ |
| 63.a1 |
63a5 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{7} \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.38 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$32$ |
$0.623511$ |
$53297461115137/147$ |
$1.05087$ |
$9.21973$ |
$[1, -1, 0, -7056, 229905]$ |
\(y^2+xy=x^3-x^2-7056x+229905\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 12.24.0-12.h.1.2, 16.48.0-16.e.2.10, $\ldots$ |
$[]$ |
| 63.a2 |
63a4 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.18 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$16$ |
$0.276938$ |
$13027640977/21609$ |
$1.08149$ |
$7.21242$ |
$[1, -1, 0, -441, 3672]$ |
\(y^2+xy=x^3-x^2-441x+3672\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.1.8, 12.48.0-12.c.1.2, 24.96.0-24.j.2.4, $\ldots$ |
$[]$ |
| 63.a5 |
63a2 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.66 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$-0.069636$ |
$7189057/3969$ |
$1.14862$ |
$5.40165$ |
$[1, -1, 0, -36, 27]$ |
\(y^2+xy=x^3-x^2-36x+27\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.6, 12.24.0-4.b.1.3, 24.96.0-24.w.2.1, $\ldots$ |
$[]$ |
| 64.a2 |
64a3 |
64.a |
64a |
$4$ |
$4$ |
\( 2^{6} \) |
\( 2^{15} \) |
$0$ |
$\Z/4\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.3.545 |
2B |
|
|
|
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.270812$ |
$287496$ |
$1.17246$ |
$5.52220$ |
$[0, 0, 0, -44, 112]$ |
\(y^2=x^3-44x+112\) |
|
$[]$ |
| 64.a3 |
64a1 |
64.a |
64a |
$4$ |
$4$ |
\( 2^{6} \) |
\( 2^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.384.9.462 |
2Cs |
|
|
|
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.617386$ |
$1728$ |
|
$3.79248$ |
$[0, 0, 0, -4, 0]$ |
\(y^2=x^3-4x\) |
|
$[]$ |
| 66.b2 |
66b2 |
66.b |
66b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$-0.441527$ |
$1180932193/4356$ |
$0.96736$ |
$4.98599$ |
$[1, 1, 1, -22, -49]$ |
\(y^2+xy+y=x^3+x^2-22x-49\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 132.24.0.?, 264.48.0.? |
$[]$ |
| 66.b4 |
66b1 |
66.b |
66b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.53 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.788101$ |
$912673/528$ |
$1.18336$ |
$3.27572$ |
$[1, 1, 1, -2, -1]$ |
\(y^2+xy+y=x^3+x^2-2x-1\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 66.6.0.a.1, 132.24.0.?, $\ldots$ |
$[]$ |
| 70.a3 |
70a2 |
70.a |
70a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$-0.307586$ |
$611960049/122500$ |
$1.02632$ |
$4.76220$ |
$[1, -1, 1, -18, -19]$ |
\(y^2+xy+y=x^3-x^2-18x-19\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3 |
$[]$ |
| 70.a4 |
70a1 |
70.a |
70a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.50 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.654160$ |
$1367631/2800$ |
$1.00023$ |
$3.54476$ |
$[1, -1, 1, 2, -3]$ |
\(y^2+xy+y=x^3-x^2+2x-3\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[]$ |
| 72.a3 |
72a4 |
72.a |
72a |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{10} \cdot 3^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.107 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$16$ |
$0.250527$ |
$1556068/81$ |
$1.03212$ |
$6.49591$ |
$[0, 0, 0, -219, 1190]$ |
\(y^2=x^3-219x+1190\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.2.4, 12.24.0-4.b.1.1, 24.192.1-24.bl.2.1 |
$[]$ |
| 72.a4 |
72a2 |
72.a |
72a |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.32 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$8$ |
$-0.096046$ |
$35152/9$ |
$0.97255$ |
$5.28549$ |
$[0, 0, 0, -39, -70]$ |
\(y^2=x^3-39x-70\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.h.1.7, 12.48.0-12.c.1.4, 24.192.1-24.bu.1.2 |
$[]$ |
| 72.a5 |
72a1 |
72.a |
72a |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \) |
\( - 2^{4} \cdot 3^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.130 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.442620$ |
$2048/3$ |
$1.17572$ |
$4.07209$ |
$[0, 0, 0, 6, -7]$ |
\(y^2=x^3+6x-7\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.7, 12.24.0-12.g.1.2, $\ldots$ |
$[]$ |
| 75.b2 |
75b5 |
75.b |
75b |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \) |
\( 3^{8} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.31 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$48$ |
$0.749015$ |
$272223782641/164025$ |
$1.03897$ |
$8.33506$ |
$[1, 0, 1, -3376, -75727]$ |
\(y^2+xy+y=x^3-3376x-75727\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.k.1.7, 20.48.0-20.c.1.3, 40.192.1-40.cc.2.5, $\ldots$ |
$[]$ |
