| 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 |
| 3920.a1 |
3920y1 |
3920.a |
3920y |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$210$ |
$12$ |
$1$ |
$1.583050310$ |
$1$ |
|
$2$ |
$13440$ |
$1.249342$ |
$-110592/125$ |
$0.98030$ |
$4.65653$ |
$[0, 0, 0, -5488, 268912]$ |
\(y^2=x^3-5488x+268912\) |
3.3.0.a.1, 21.6.0.a.1, 30.6.0.c.1, 70.2.0.a.1, 210.12.1.? |
$[(49, 343)]$ |
| 3920.b1 |
3920t1 |
3920.b |
3920t |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$140$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$1.453278$ |
$-5154200289/20$ |
$1.12200$ |
$5.58968$ |
$[0, 0, 0, -103243, -12768518]$ |
\(y^2=x^3-103243x-12768518\) |
7.24.0.a.2, 20.2.0.a.1, 28.48.0-7.a.2.2, 70.48.0-7.a.2.1, 140.96.2.? |
$[]$ |
| 3920.b2 |
3920t2 |
3920.b |
3920t |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{26} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$140$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$141120$ |
$2.426231$ |
$1747829720511/1280000000$ |
$1.08633$ |
$6.29386$ |
$[0, 0, 0, 719957, 121149658]$ |
\(y^2=x^3+719957x+121149658\) |
7.24.0.a.1, 20.2.0.a.1, 28.48.0-7.a.1.2, 70.48.0-7.a.1.1, 140.96.2.? |
$[]$ |
| 3920.c1 |
3920h1 |
3920.c |
3920h |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.364426$ |
$-30211716096/1071875$ |
$1.00205$ |
$5.00512$ |
$[0, 0, 0, -20188, 1137388]$ |
\(y^2=x^3-20188x+1137388\) |
70.2.0.a.1 |
$[]$ |
| 3920.d1 |
3920bl1 |
3920.d |
3920bl |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$-0.388587$ |
$-3024/5$ |
$0.61638$ |
$2.27237$ |
$[0, 0, 0, -7, -14]$ |
\(y^2=x^3-7x-14\) |
20.2.0.a.1 |
$[]$ |
| 3920.e1 |
3920x2 |
3920.e |
3920x |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{33} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1.753139480$ |
$1$ |
|
$2$ |
$6048$ |
$1.058674$ |
$-8990558521/10485760$ |
$0.98658$ |
$4.37919$ |
$[0, 1, 0, -2536, -86220]$ |
\(y^2=x^3+x^2-2536x-86220\) |
3.4.0.a.1, 40.2.0.a.1, 84.8.0.?, 120.8.0.?, 840.16.0.? |
$[(846, 24576)]$ |
| 3920.e2 |
3920x1 |
3920.e |
3920x |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{19} \cdot 5^{3} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$0.584379826$ |
$1$ |
|
$4$ |
$2016$ |
$0.509367$ |
$10100279/16000$ |
$0.93051$ |
$3.49173$ |
$[0, 1, 0, 264, 2260]$ |
\(y^2=x^3+x^2+264x+2260\) |
3.4.0.a.1, 40.2.0.a.1, 84.8.0.?, 120.8.0.?, 840.16.0.? |
$[(6, 64)]$ |
| 3920.f1 |
3920o2 |
3920.f |
3920o |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{4} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$0.263508467$ |
$1$ |
|
$13$ |
$1536$ |
$0.364895$ |
$2185454/625$ |
$0.89014$ |
$3.39137$ |
$[0, 1, 0, -240, -1100]$ |
\(y^2=x^3+x^2-240x-1100\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(-10, 20)]$ |
| 3920.f2 |
3920o1 |
3920.f |
3920o |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$0.527016934$ |
$1$ |
|
$9$ |
$768$ |
$0.018322$ |
$19652/25$ |
$0.80426$ |
$2.76002$ |
$[0, 1, 0, 40, -92]$ |
\(y^2=x^3+x^2+40x-92\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(6, 20)]$ |
| 3920.g1 |
3920bg2 |
3920.g |
3920bg |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{13} \cdot 5^{3} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30240$ |
$1.850491$ |
$-5452947409/250$ |
$0.98622$ |
$6.06687$ |
$[0, 1, 0, -384960, -92065100]$ |
\(y^2=x^3+x^2-384960x-92065100\) |
3.4.0.a.1, 40.2.0.a.1, 84.8.0.?, 120.8.0.?, 840.16.0.? |
$[]$ |
| 3920.g2 |
3920bg1 |
3920.g |
3920bg |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 5 \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10080$ |
$1.301186$ |
$-49/40$ |
$1.02061$ |
$4.70412$ |
$[0, 1, 0, -800, -327692]$ |
\(y^2=x^3+x^2-800x-327692\) |
3.4.0.a.1, 40.2.0.a.1, 84.8.0.?, 120.8.0.?, 840.16.0.? |
$[]$ |
| 3920.h1 |
3920bf3 |
3920.h |
3920bf |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$2160$ |
$0.592311$ |
$488095744/125$ |
$1.07376$ |
$4.16421$ |
$[0, 1, 0, -2025, -35750]$ |
\(y^2=x^3+x^2-2025x-35750\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[]$ |
| 3920.h2 |
3920bf4 |
3920.h |
3920bf |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$4320$ |
$0.938885$ |
$-20720464/15625$ |
$0.95894$ |
$4.21829$ |
$[0, 1, 0, -1780, -44472]$ |
\(y^2=x^3+x^2-1780x-44472\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
| 3920.h3 |
3920bf1 |
3920.h |
3920bf |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$720$ |
$0.043005$ |
$16384/5$ |
$0.95621$ |
$2.91909$ |
$[0, 1, 0, -65, 118]$ |
\(y^2=x^3+x^2-65x+118\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[]$ |
| 3920.h4 |
3920bf2 |
3920.h |
3920bf |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$1440$ |
$0.389578$ |
$21296/25$ |
$0.83964$ |
$3.28929$ |
$[0, 1, 0, 180, 1000]$ |
\(y^2=x^3+x^2+180x+1000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
| 3920.i1 |
3920n1 |
3920.i |
3920n |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{11} \cdot 5^{5} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.083591542$ |
$1$ |
|
$10$ |
$1440$ |
$0.352587$ |
$-15298178/3125$ |
$0.89447$ |
$3.42791$ |
$[0, 1, 0, -240, 1588]$ |
\(y^2=x^3+x^2-240x+1588\) |
40.2.0.a.1 |
$[(6, 20)]$ |
| 3920.j1 |
3920bh2 |
3920.j |
3920bh |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{17} \cdot 5^{4} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53760$ |
$2.065479$ |
$544737993463/20000$ |
$1.00483$ |
$6.38814$ |
$[0, 1, 0, -933760, 346974900]$ |
\(y^2=x^3+x^2-933760x+346974900\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[]$ |
| 3920.j2 |
3920bh1 |
3920.j |
3920bh |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{22} \cdot 5^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$26880$ |
$1.718904$ |
$-115501303/25600$ |
$0.94412$ |
$5.40498$ |
$[0, 1, 0, -55680, 5928628]$ |
\(y^2=x^3+x^2-55680x+5928628\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[]$ |
| 3920.k1 |
3920q1 |
3920.k |
3920q |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1260$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.449388$ |
$-177953104/125$ |
$0.92344$ |
$3.90714$ |
$[0, -1, 0, -996, -11780]$ |
\(y^2=x^3-x^2-996x-11780\) |
3.4.0.a.1, 9.12.0.b.1, 12.8.0-3.a.1.1, 20.2.0.a.1, 30.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 3920.k2 |
3920q2 |
3920.k |
3920q |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1260$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$0.998693$ |
$161017136/1953125$ |
$1.00966$ |
$4.25674$ |
$[0, -1, 0, 964, -51764]$ |
\(y^2=x^3-x^2+964x-51764\) |
3.4.0.a.1, 9.12.0.b.1, 12.8.0-3.a.1.2, 20.2.0.a.1, 30.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 3920.l1 |
3920e1 |
3920.l |
3920e |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{7} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12544$ |
$1.542194$ |
$12459008/78125$ |
$0.98777$ |
$5.03784$ |
$[0, -1, 0, 10519, 1298725]$ |
\(y^2=x^3-x^2+10519x+1298725\) |
70.2.0.a.1 |
$[]$ |
| 3920.m1 |
3920b1 |
3920.m |
3920b |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.238960178$ |
$1$ |
|
$6$ |
$576$ |
$0.040994$ |
$-196/5$ |
$0.83724$ |
$2.87674$ |
$[0, -1, 0, -16, 176]$ |
\(y^2=x^3-x^2-16x+176\) |
20.2.0.a.1 |
$[(-2, 14)]$ |
| 3920.n1 |
3920v1 |
3920.n |
3920v |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.369930773$ |
$1$ |
|
$4$ |
$384$ |
$-0.228111$ |
$8192/5$ |
$0.91737$ |
$2.46485$ |
$[0, -1, 0, 19, 1]$ |
\(y^2=x^3-x^2+19x+1\) |
70.2.0.a.1 |
$[(5, 14)]$ |
| 3920.o1 |
3920f1 |
3920.o |
3920f |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$-0.034557$ |
$-2249728/5$ |
$0.86008$ |
$3.14401$ |
$[0, -1, 0, -121, -475]$ |
\(y^2=x^3-x^2-121x-475\) |
70.2.0.a.1 |
$[]$ |
| 3920.p1 |
3920p2 |
3920.p |
3920p |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{18} \cdot 5^{3} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12096$ |
$1.478813$ |
$-77626969/8000$ |
$0.92025$ |
$5.10239$ |
$[0, -1, 0, -25496, 1709296]$ |
\(y^2=x^3-x^2-25496x+1709296\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 20.2.0.a.1, 30.8.0-3.a.1.2, 60.16.0-60.a.1.1 |
$[]$ |
| 3920.p2 |
3920p1 |
3920.p |
3920p |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4032$ |
$0.929506$ |
$34391/20$ |
$0.97256$ |
$4.14929$ |
$[0, -1, 0, 1944, -2960]$ |
\(y^2=x^3-x^2+1944x-2960\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 20.2.0.a.1, 30.8.0-3.a.1.1, 60.16.0-60.a.1.4 |
$[]$ |
| 3920.q1 |
3920l1 |
3920.q |
3920l |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 5^{5} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.356148240$ |
$1$ |
|
$6$ |
$960$ |
$0.252792$ |
$137564/3125$ |
$0.92712$ |
$3.17862$ |
$[0, -1, 0, 40, -608]$ |
\(y^2=x^3-x^2+40x-608\) |
20.2.0.a.1 |
$[(14, 50)]$ |
| 3920.r1 |
3920m1 |
3920.r |
3920m |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.623515903$ |
$1$ |
|
$2$ |
$1536$ |
$0.411624$ |
$-1024/35$ |
$0.78213$ |
$3.41407$ |
$[0, -1, 0, -65, 1597]$ |
\(y^2=x^3-x^2-65x+1597\) |
70.2.0.a.1 |
$[(12, 49)]$ |
| 3920.s1 |
3920d3 |
3920.s |
3920d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.770741$ |
$132304644/5$ |
$1.13632$ |
$4.50909$ |
$[0, 0, 0, -5243, -146118]$ |
\(y^2=x^3-5243x-146118\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[]$ |
| 3920.s2 |
3920d2 |
3920.s |
3920d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$280$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$1152$ |
$0.424168$ |
$148176/25$ |
$1.09175$ |
$3.52034$ |
$[0, 0, 0, -343, -2058]$ |
\(y^2=x^3-343x-2058\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 28.24.0-4.a.1.1, $\ldots$ |
$[]$ |
| 3920.s3 |
3920d1 |
3920.s |
3920d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.077594$ |
$55296/5$ |
$1.01898$ |
$3.06611$ |
$[0, 0, 0, -98, 343]$ |
\(y^2=x^3-98x+343\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[]$ |
| 3920.s4 |
3920d4 |
3920.s |
3920d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 5^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.770741$ |
$237276/625$ |
$1.04671$ |
$3.89798$ |
$[0, 0, 0, 637, -11662]$ |
\(y^2=x^3+637x-11662\) |
2.3.0.a.1, 4.24.0.c.1, 28.48.0-4.c.1.1, 40.48.1.dk.1, 80.96.3.?, $\ldots$ |
$[]$ |
| 3920.t1 |
3920ba3 |
3920.t |
3920ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{13} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.705090$ |
$2121328796049/120050$ |
$1.01959$ |
$5.84689$ |
$[0, 0, 0, -209867, -37003526]$ |
\(y^2=x^3-209867x-37003526\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 28.12.0-4.c.1.2, 56.48.0-56.v.1.7 |
$[]$ |
| 3920.t2 |
3920ba4 |
3920.t |
3920ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{13} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.51 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$1.705090$ |
$74565301329/5468750$ |
$0.99962$ |
$5.44223$ |
$[0, 0, 0, -68747, 6483386]$ |
\(y^2=x^3-68747x+6483386\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 56.48.0-56.bp.1.4 |
$[]$ |
| 3920.t3 |
3920ba2 |
3920.t |
3920ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$1.358517$ |
$611960049/122500$ |
$1.02632$ |
$4.86175$ |
$[0, 0, 0, -13867, -508326]$ |
\(y^2=x^3-13867x-508326\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 28.24.0-28.b.1.2, 56.48.0-56.d.1.4 |
$[]$ |
| 3920.t4 |
3920ba1 |
3920.t |
3920ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{16} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.61 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$1.011942$ |
$1367631/2800$ |
$1.00023$ |
$4.23662$ |
$[0, 0, 0, 1813, -47334]$ |
\(y^2=x^3+1813x-47334\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$ |
$[]$ |
| 3920.u1 |
3920u2 |
3920.u |
3920u |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$5.686057427$ |
$1$ |
|
$0$ |
$6912$ |
$1.230503$ |
$-225637236736/1715$ |
$1.02937$ |
$5.24095$ |
$[0, 1, 0, -39461, -3030385]$ |
\(y^2=x^3+x^2-39461x-3030385\) |
3.4.0.a.1, 60.8.0-3.a.1.3, 70.2.0.a.1, 84.8.0.?, 210.8.0.?, $\ldots$ |
$[(3091/3, 132398/3)]$ |
| 3920.u2 |
3920u1 |
3920.u |
3920u |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$1.895352475$ |
$1$ |
|
$2$ |
$2304$ |
$0.681196$ |
$-65536/875$ |
$0.97204$ |
$3.80621$ |
$[0, 1, 0, -261, -8065]$ |
\(y^2=x^3+x^2-261x-8065\) |
3.4.0.a.1, 60.8.0-3.a.1.4, 70.2.0.a.1, 84.8.0.?, 210.8.0.?, $\ldots$ |
$[(79, 686)]$ |
| 3920.v1 |
3920a1 |
3920.v |
3920a |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 5^{5} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1.287905843$ |
$1$ |
|
$2$ |
$6720$ |
$1.225748$ |
$137564/3125$ |
$0.92712$ |
$4.58975$ |
$[0, 1, 0, 1944, 204644]$ |
\(y^2=x^3+x^2+1944x+204644\) |
20.2.0.a.1 |
$[(16, 490)]$ |
| 3920.w1 |
3920be1 |
3920.w |
3920be |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1260$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$12096$ |
$1.422342$ |
$-177953104/125$ |
$0.92344$ |
$5.31827$ |
$[0, 1, 0, -48820, 4138168]$ |
\(y^2=x^3+x^2-48820x+4138168\) |
3.4.0.a.1, 9.12.0.b.1, 20.2.0.a.1, 60.8.0.a.1, 63.36.0.h.2, $\ldots$ |
$[]$ |
| 3920.w2 |
3920be2 |
3920.w |
3920be |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1260$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$36288$ |
$1.971649$ |
$161017136/1953125$ |
$1.00966$ |
$5.66787$ |
$[0, 1, 0, 47220, 17660600]$ |
\(y^2=x^3+x^2+47220x+17660600\) |
3.4.0.a.1, 9.12.0.b.1, 20.2.0.a.1, 60.8.0.a.1, 63.36.0.h.1, $\ldots$ |
$[]$ |
| 3920.x1 |
3920j1 |
3920.x |
3920j |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{7} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.457728339$ |
$1$ |
|
$2$ |
$1792$ |
$0.569240$ |
$12459008/78125$ |
$0.98777$ |
$3.62671$ |
$[0, 1, 0, 215, -3725]$ |
\(y^2=x^3+x^2+215x-3725\) |
70.2.0.a.1 |
$[(30, 175)]$ |
| 3920.y1 |
3920i1 |
3920.y |
3920i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 5 \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$5.759087921$ |
$1$ |
|
$2$ |
$4032$ |
$1.013948$ |
$-196/5$ |
$0.83724$ |
$4.28787$ |
$[0, 1, 0, -800, -58780]$ |
\(y^2=x^3+x^2-800x-58780\) |
20.2.0.a.1 |
$[(608, 14986)]$ |
| 3920.z1 |
3920bb1 |
3920.z |
3920bb |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2688$ |
$0.744844$ |
$8192/5$ |
$0.91737$ |
$3.87598$ |
$[0, 1, 0, 915, -2185]$ |
\(y^2=x^3+x^2+915x-2185\) |
70.2.0.a.1 |
$[]$ |
| 3920.ba1 |
3920bc3 |
3920.ba |
3920bc |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{9} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$1260$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$1.793564$ |
$-250523582464/13671875$ |
$1.02112$ |
$5.59959$ |
$[0, 1, 0, -102965, -13337437]$ |
\(y^2=x^3+x^2-102965x-13337437\) |
3.4.0.a.1, 9.12.0.a.1, 60.8.0-3.a.1.3, 63.36.0.e.2, 70.2.0.a.1, $\ldots$ |
$[]$ |
| 3920.ba2 |
3920bc1 |
3920.ba |
3920bc |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$1260$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.694952$ |
$-262144/35$ |
$0.88715$ |
$3.94949$ |
$[0, 1, 0, -1045, 14083]$ |
\(y^2=x^3+x^2-1045x+14083\) |
3.4.0.a.1, 9.12.0.a.1, 60.8.0-3.a.1.4, 63.36.0.e.1, 70.2.0.a.1, $\ldots$ |
$[]$ |
| 3920.ba3 |
3920bc2 |
3920.ba |
3920bc |
$3$ |
$9$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$1260$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$1.244259$ |
$71991296/42875$ |
$1.06493$ |
$4.60309$ |
$[0, 1, 0, 6795, -34525]$ |
\(y^2=x^3+x^2+6795x-34525\) |
3.12.0.a.1, 60.24.0-3.a.1.2, 63.36.0.b.1, 70.2.0.a.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 3920.bb1 |
3920k1 |
3920.bb |
3920k |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.936670001$ |
$1$ |
|
$2$ |
$5376$ |
$0.938398$ |
$-2249728/5$ |
$0.86008$ |
$4.55514$ |
$[0, 1, 0, -5945, 174803]$ |
\(y^2=x^3+x^2-5945x+174803\) |
70.2.0.a.1 |
$[(-82, 343)]$ |
| 3920.bc1 |
3920bd2 |
3920.bc |
3920bd |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{18} \cdot 5^{3} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.505857$ |
$-77626969/8000$ |
$0.92025$ |
$3.69126$ |
$[0, 1, 0, -520, -5132]$ |
\(y^2=x^3+x^2-520x-5132\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 84.8.0.?, 210.8.0.?, $\ldots$ |
$[]$ |
| 3920.bc2 |
3920bd1 |
3920.bc |
3920bd |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$-0.043448$ |
$34391/20$ |
$0.97256$ |
$2.73816$ |
$[0, 1, 0, 40, 20]$ |
\(y^2=x^3+x^2+40x+20\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 84.8.0.?, 210.8.0.?, $\ldots$ |
$[]$ |
