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 |
14.a1 |
14a5 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( 2^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 9.24.0.3 |
2B, 3B.1.2 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.413101$ |
$2251439055699625/25088$ |
$1.06489$ |
$13.39507$ |
$[1, 0, 1, -2731, -55146]$ |
\(y^2+xy+y=x^3-2731x-55146\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 9.24.0-9.a.1.1, $\ldots$ |
$[]$ |
14.a2 |
14a3 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( - 2^{18} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 9.24.0.3 |
2B, 3B.1.2 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$3$ |
$0.066527$ |
$-548347731625/1835008$ |
$1.02933$ |
$10.24454$ |
$[1, 0, 1, -171, -874]$ |
\(y^2+xy+y=x^3-171x-874\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 9.24.0-9.a.1.1, $\ldots$ |
$[]$ |
15.a1 |
15a5 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3^{4} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.148 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.290870$ |
$1114544804970241/405$ |
$1.07354$ |
$12.79416$ |
$[1, 1, 1, -2160, -39540]$ |
\(y^2+xy+y=x^3+x^2-2160x-39540\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 10.6.0.a.1, 16.96.0-16.x.2.4, $\ldots$ |
$[]$ |
15.a3 |
15a6 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( - 3^{16} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.153 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.290870$ |
$-147281603041/215233605$ |
$1.05949$ |
$9.96125$ |
$[1, 1, 1, -110, -880]$ |
\(y^2+xy+y=x^3+x^2-110x-880\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 16.96.0-16.u.2.3, 20.24.0-20.h.1.1, $\ldots$ |
$[]$ |
17.a1 |
17a3 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.18 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$-0.376636$ |
$82483294977/17$ |
$1.03131$ |
$8.87186$ |
$[1, -1, 1, -91, -310]$ |
\(y^2+xy+y=x^3-x^2-91x-310\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.j.1.3, 32.96.0-32.f.2.1, $\ldots$ |
$[]$ |
20.a1 |
20a4 |
20.a |
20a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \) |
\( 2^{4} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.22, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.380644$ |
$488095744/125$ |
$1.07376$ |
$7.60369$ |
$[0, 1, 0, -41, -116]$ |
\(y^2=x^3+x^2-41x-116\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.b.1, 6.24.0-6.a.1.2, 8.12.0-4.b.1.2, $\ldots$ |
$[]$ |
20.a2 |
20a3 |
20.a |
20a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \) |
\( - 2^{8} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.37, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$3$ |
$-0.034070$ |
$-20720464/15625$ |
$0.95894$ |
$7.75305$ |
$[0, 1, 0, -36, -140]$ |
\(y^2=x^3+x^2-36x-140\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.a.1, 6.24.0-6.a.1.2, 8.12.0-4.a.1.1, $\ldots$ |
$[]$ |
21.a1 |
21a5 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.48 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.074205$ |
$53297461115137/147$ |
$1.05087$ |
$10.38157$ |
$[1, 0, 0, -784, -8515]$ |
\(y^2+xy=x^3-784x-8515\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 12.24.0-12.h.1.1, 16.48.0-16.e.2.5, $\ldots$ |
$[]$ |
21.a4 |
21a6 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( - 3 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.177 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.074205$ |
$-4354703137/17294403$ |
$1.04266$ |
$7.96731$ |
$[1, 0, 0, -34, -217]$ |
\(y^2+xy=x^3-34x-217\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.bb.2.3, 12.24.0-12.g.1.1, $\ldots$ |
$[]$ |
24.a1 |
24a5 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{11} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.135 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$0.047795$ |
$3065617154/9$ |
$1.21059$ |
$9.27238$ |
$[0, -1, 0, -384, -2772]$ |
\(y^2=x^3-x^2-384x-2772\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.r.1.6, 16.96.0-16.l.1.6, 24.96.0-24.bf.1.4, $\ldots$ |
$[]$ |
24.a6 |
24a6 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( - 2^{11} \cdot 3^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.166 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$0.047795$ |
$207646/6561$ |
$1.15980$ |
$7.50451$ |
$[0, -1, 0, 16, -180]$ |
\(y^2=x^3-x^2+16x-180\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.m.1.2, 48.192.1-48.w.2.4 |
$[]$ |
30.a1 |
30a7 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$0.564166$ |
$16778985534208729/81000$ |
$1.08181$ |
$10.98404$ |
$[1, 0, 1, -5334, -150368]$ |
\(y^2+xy+y=x^3-5334x-150368\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.3, $\ldots$ |
$[]$ |
30.a2 |
30a8 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2^{3} \cdot 3 \cdot 5^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.8, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$0.564166$ |
$10316097499609/5859375000$ |
$1.13600$ |
$8.81005$ |
$[1, 0, 1, -454, -544]$ |
\(y^2+xy+y=x^3-454x-544\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.4, $\ldots$ |
$[]$ |
30.a7 |
30a3 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.12, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.128981$ |
$-273359449/1536000$ |
$1.04920$ |
$6.40875$ |
$[1, 0, 1, -14, -64]$ |
\(y^2+xy+y=x^3-14x-64\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.2, $\ldots$ |
$[]$ |
32.a1 |
32a3 |
32.a |
32a |
$4$ |
$4$ |
\( 2^{5} \) |
\( 2^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.3.554 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.617386$ |
$287496$ |
$1.17246$ |
$5.42664$ |
$[0, 0, 0, -11, -14]$ |
\(y^2=x^3-11x-14\) |
|
$[]$ |
33.a3 |
33a2 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( 3^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.705779$ |
$30664297/297$ |
$1.09706$ |
$4.93024$ |
$[1, 1, 0, -6, -9]$ |
\(y^2+xy=x^3+x^2-6x-9\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[]$ |
33.a4 |
33a4 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( - 3^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.012632$ |
$9090072503/5845851$ |
$1.03763$ |
$6.55810$ |
$[1, 1, 0, 44, 55]$ |
\(y^2+xy=x^3+x^2+44x+55\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.16, 44.24.0-44.g.1.1, $\ldots$ |
$[]$ |
34.a1 |
34a4 |
34.a |
34a |
$4$ |
$6$ |
\( 2 \cdot 17 \) |
\( 2 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 3.8.0.2 |
2B, 3B.1.2 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$0.179487$ |
$159661140625/48275138$ |
$1.06848$ |
$7.31528$ |
$[1, 0, 0, -113, -329]$ |
\(y^2+xy=x^3-113x-329\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 24.48.0-24.y.1.13, $\ldots$ |
$[]$ |
34.a2 |
34a3 |
34.a |
34a |
$4$ |
$6$ |
\( 2 \cdot 17 \) |
\( 2^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.167086$ |
$120920208625/19652$ |
$0.98564$ |
$7.23647$ |
$[1, 0, 0, -103, -411]$ |
\(y^2+xy=x^3-103x-411\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 24.48.0-24.bw.1.11, $\ldots$ |
$[]$ |
36.a1 |
36a4 |
36.a |
36a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1$ |
$1$ |
|
$1$ |
$6$ |
$0.080464$ |
$54000$ |
$1.02720$ |
$7.34737$ |
$[0, 0, 0, -135, -594]$ |
\(y^2=x^3-135x-594\) |
|
$[]$ |
36.a3 |
36a3 |
36.a |
36a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \) |
\( - 2^{4} \cdot 3^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2, 3$ |
16.192.9.83, 27.648.18.4 |
2B, 3B.1.2 |
|
|
|
$1$ |
$1$ |
|
$1$ |
$3$ |
$-0.266109$ |
$0$ |
|
$5.61315$ |
$[0, 0, 0, 0, -27]$ |
\(y^2=x^3-27\) |
|
$[]$ |
39.a1 |
39a2 |
39.a |
39a |
$4$ |
$4$ |
\( 3 \cdot 13 \) |
\( 3^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$-0.318367$ |
$37159393753/1053$ |
$1.11616$ |
$6.64339$ |
$[1, 1, 0, -69, -252]$ |
\(y^2+xy=x^3+x^2-69x-252\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[]$ |
39.a4 |
39a4 |
39.a |
39a |
$4$ |
$4$ |
\( 3 \cdot 13 \) |
\( - 3 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-1.011513$ |
$12167/39$ |
$0.85844$ |
$2.98048$ |
$[1, 1, 0, 1, 0]$ |
\(y^2+xy=x^3+x^2+x\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[]$ |
40.a1 |
40a2 |
40.a |
40a |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \) |
\( 2^{10} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.55 |
2B |
$80$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.202214$ |
$132304644/5$ |
$1.13632$ |
$6.94848$ |
$[0, 0, 0, -107, -426]$ |
\(y^2=x^3-107x-426\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 10.6.0.a.1, 16.48.0-16.i.1.3, $\ldots$ |
$[]$ |
42.a2 |
42a5 |
42.a |
42a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.164 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.535675$ |
$84448510979617/933897762$ |
$1.05309$ |
$8.57945$ |
$[1, 1, 1, -914, -10915]$ |
\(y^2+xy+y=x^3+x^2-914x-10915\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.p.1.4, 112.192.1.? |
$[]$ |
42.a6 |
42a6 |
42.a |
42a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \) |
\( - 2 \cdot 3^{16} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.137 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.535675$ |
$6359387729183/4218578658$ |
$1.08314$ |
$7.88752$ |
$[1, 1, 1, 386, 1277]$ |
\(y^2+xy+y=x^3+x^2+386x+1277\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.k.1.6, 16.96.0-16.e.1.6, 56.96.0-56.bc.1.4, $\ldots$ |
$[]$ |
45.a1 |
45a7 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{10} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.51 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.840176$ |
$1114544804970241/405$ |
$1.07354$ |
$10.83335$ |
$[1, -1, 0, -19440, 1048135]$ |
\(y^2+xy=x^3-x^2-19440x+1048135\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$ |
$[]$ |
45.a3 |
45a8 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( - 3^{22} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.67 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.840176$ |
$-147281603041/215233605$ |
$1.05949$ |
$8.81802$ |
$[1, -1, 0, -990, 22765]$ |
\(y^2+xy=x^3-x^2-990x+22765\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.u.2, $\ldots$ |
$[]$ |
45.a4 |
45a3 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{7} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.77 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$8$ |
$0.147029$ |
$56667352321/15$ |
$1.03019$ |
$8.23612$ |
$[1, -1, 0, -720, -7259]$ |
\(y^2+xy=x^3-x^2-720x-7259\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 16.48.0-16.g.1.12, $\ldots$ |
$[]$ |
45.a7 |
45a1 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( - 3^{7} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.31 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2$ |
$-0.546119$ |
$-1/15$ |
$1.19808$ |
$4.40136$ |
$[1, -1, 0, 0, -5]$ |
\(y^2+xy=x^3-x^2-5\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.2, 16.48.0-16.g.1.16, $\ldots$ |
$[]$ |
45.a8 |
45a6 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( - 3^{8} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.172 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$0.493602$ |
$4733169839/3515625$ |
$1.05585$ |
$7.58395$ |
$[1, -1, 0, 315, 1066]$ |
\(y^2+xy=x^3-x^2+315x+1066\) |
2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 12.24.0-4.d.1.1, 24.192.1-24.cv.2.1, $\ldots$ |
$[]$ |
46.a1 |
46a2 |
46.a |
46a |
$2$ |
$2$ |
\( 2 \cdot 23 \) |
\( 2^{5} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10$ |
$-0.091908$ |
$545138290809/16928$ |
$1.08081$ |
$7.05846$ |
$[1, -1, 0, -170, -812]$ |
\(y^2+xy=x^3-x^2-170x-812\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[]$ |
46.a2 |
46a1 |
46.a |
46a |
$2$ |
$2$ |
\( 2 \cdot 23 \) |
\( - 2^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5$ |
$-0.438482$ |
$-116930169/23552$ |
$1.03422$ |
$4.93014$ |
$[1, -1, 0, -10, -12]$ |
\(y^2+xy=x^3-x^2-10x-12\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[]$ |
48.a2 |
48a2 |
48.a |
48a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \) |
\( 2^{10} \cdot 3 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.150 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.298779$ |
$28756228/3$ |
$1.05617$ |
$6.22697$ |
$[0, 1, 0, -64, -220]$ |
\(y^2=x^3+x^2-64x-220\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 12.24.0-12.h.1.1, 16.96.0-16.bb.2.3, $\ldots$ |
$[]$ |
48.a5 |
48a4 |
48.a |
48a |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \) |
\( - 2^{4} \cdot 3 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.142 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.991926$ |
$2048/3$ |
$1.17572$ |
$2.79585$ |
$[0, 1, 0, 1, 0]$ |
\(y^2=x^3+x^2+x\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.ba.1.1, 12.24.0-12.g.1.1, $\ldots$ |
$[]$ |
49.a1 |
49a4 |
49.a |
49a |
$4$ |
$14$ |
\( 7^{2} \) |
\( 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.48.0.3 |
7B.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$14$ |
$0.520391$ |
$16581375$ |
$1.19804$ |
$8.77147$ |
$[1, -1, 0, -1822, 30393]$ |
\(y^2+xy=x^3-x^2-1822x+30393\) |
|
$[]$ |
49.a2 |
49a3 |
49.a |
49a |
$4$ |
$14$ |
\( 7^{2} \) |
\( - 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.48.0.3 |
7B.1.2 |
|
|
|
$1$ |
$1$ |
|
$1$ |
$7$ |
$0.173817$ |
$-3375$ |
$0.98030$ |
$6.69373$ |
$[1, -1, 0, -107, 552]$ |
\(y^2+xy=x^3-x^2-107x+552\) |
|
$[]$ |
49.a3 |
49a2 |
49.a |
49a |
$4$ |
$14$ |
\( 7^{2} \) |
\( 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-28$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.48.0.6 |
7B.1.5 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$2$ |
$-0.452565$ |
$16581375$ |
$1.19804$ |
$5.77147$ |
$[1, -1, 0, -37, -78]$ |
\(y^2+xy=x^3-x^2-37x-78\) |
|
$[]$ |
49.a4 |
49a1 |
49.a |
49a |
$4$ |
$14$ |
\( 7^{2} \) |
\( - 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-7})$ |
$-7$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.48.0.6 |
7B.1.5 |
|
|
|
$1$ |
$1$ |
|
$1$ |
$1$ |
$-0.799138$ |
$-3375$ |
$0.98030$ |
$3.69373$ |
$[1, -1, 0, -2, -1]$ |
\(y^2+xy=x^3-x^2-2x-1\) |
|
$[]$ |
52.a1 |
52a2 |
52.a |
52a |
$2$ |
$2$ |
\( 2^{2} \cdot 13 \) |
\( 2^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$104$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.777873$ |
$442368/13$ |
$1.27279$ |
$3.99178$ |
$[0, 0, 0, -4, -3]$ |
\(y^2=x^3-4x-3\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.24.0.e.1, $\ldots$ |
$[]$ |
52.a2 |
52a1 |
52.a |
52a |
$2$ |
$2$ |
\( 2^{2} \cdot 13 \) |
\( - 2^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.37 |
2B |
$104$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3$ |
$-0.431299$ |
$432/169$ |
$1.09219$ |
$4.58800$ |
$[0, 0, 0, 1, -10]$ |
\(y^2=x^3+x-10\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.48.0.? |
$[]$ |
55.a2 |
55a2 |
55.a |
55a |
$4$ |
$4$ |
\( 5 \cdot 11 \) |
\( 5 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$-0.285666$ |
$2749884201/73205$ |
$0.94591$ |
$5.42376$ |
$[1, -1, 0, -29, -52]$ |
\(y^2+xy=x^3-x^2-29x-52\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 88.24.0.?, $\ldots$ |
$[]$ |
55.a4 |
55a4 |
55.a |
55a |
$4$ |
$4$ |
\( 5 \cdot 11 \) |
\( - 5 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.978812$ |
$59319/55$ |
$0.79207$ |
$2.74264$ |
$[1, -1, 0, 1, 0]$ |
\(y^2+xy=x^3-x^2+x\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$ |
$[]$ |
56.a1 |
56a4 |
56.a |
56a |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \) |
\( 2^{11} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.103 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.002033$ |
$1443468546/7$ |
$1.04654$ |
$7.13352$ |
$[0, 0, 0, -299, 1990]$ |
\(y^2=x^3-299x+1990\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 28.12.0-4.c.1.1, 56.48.0-56.bp.1.3 |
$[]$ |
56.a2 |
56a3 |
56.a |
56a |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \) |
\( 2^{11} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.002033$ |
$11090466/2401$ |
$1.11706$ |
$5.92401$ |
$[0, 0, 0, -59, -138]$ |
\(y^2=x^3-59x-138\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.8 |
$[]$ |
56.b1 |
56b2 |
56.b |
56b |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \) |
\( 2^{11} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.234669$ |
$3543122/49$ |
$1.08036$ |
$5.64054$ |
$[0, -1, 0, -40, -84]$ |
\(y^2=x^3-x^2-40x-84\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
56.b2 |
56b1 |
56.b |
56b |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \) |
\( - 2^{10} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.581243$ |
$-4/7$ |
$1.03482$ |
$4.05739$ |
$[0, -1, 0, 0, -4]$ |
\(y^2=x^3-x^2-4\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
57.c3 |
57b2 |
57.c |
57b |
$4$ |
$4$ |
\( 3 \cdot 19 \) |
\( 3 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.938156$ |
$389017/57$ |
$0.96267$ |
$3.18358$ |
$[1, 0, 1, -2, -1]$ |
\(y^2+xy+y=x^3-2x-1\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$ |
$[]$ |
57.c4 |
57b4 |
57.c |
57b |
$4$ |
$4$ |
\( 3 \cdot 19 \) |
\( - 3 \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.245009$ |
$67419143/390963$ |
$0.97474$ |
$5.00265$ |
$[1, 0, 1, 8, 29]$ |
\(y^2+xy+y=x^3+8x+29\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 152.24.0.?, $\ldots$ |
$[]$ |
62.a1 |
62a4 |
62.a |
62a |
$4$ |
$4$ |
\( 2 \cdot 31 \) |
\( 2 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.103 |
2B |
$248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8$ |
$-0.108078$ |
$3999236143617/62$ |
$1.07559$ |
$7.03082$ |
$[1, -1, 1, -331, 2397]$ |
\(y^2+xy+y=x^3-x^2-331x+2397\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 124.12.0.?, 248.48.0.? |
$[]$ |