| 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 |
| 3850.a1 |
3850b1 |
3850.a |
3850b |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{18} \cdot 5^{2} \cdot 7^{3} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$2.007191887$ |
$1$ |
|
$2$ |
$38880$ |
$1.904642$ |
$-606773969327363726065/14480963796992$ |
$1.01629$ |
$6.18637$ |
$[1, 1, 0, -515720, 142338880]$ |
\(y^2+xy=x^3+x^2-515720x+142338880\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 308.2.0.?, 924.8.0.?, 4620.16.0.? |
$[(464, 1560)]$ |
| 3850.a2 |
3850b2 |
3850.a |
3850b |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 5^{2} \cdot 7 \cdot 11^{15} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4620$ |
$16$ |
$0$ |
$6.021575663$ |
$1$ |
|
$2$ |
$116640$ |
$2.453949$ |
$-21171034581520602865/1871407179898211648$ |
$1.05823$ |
$6.38983$ |
$[1, 1, 0, -168520, 330093440]$ |
\(y^2+xy=x^3+x^2-168520x+330093440\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 308.2.0.?, 924.8.0.?, 4620.16.0.? |
$[(-376, 18640)]$ |
| 3850.b1 |
3850i1 |
3850.b |
3850i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 5^{9} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$0.988906$ |
$52355598021/15092$ |
$1.02244$ |
$4.74407$ |
$[1, -1, 0, -9742, -367584]$ |
\(y^2+xy=x^3-x^2-9742x-367584\) |
2.3.0.a.1, 40.6.0.d.1, 616.6.0.?, 770.6.0.?, 3080.12.0.? |
$[]$ |
| 3850.b2 |
3850i2 |
3850.b |
3850i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2 \cdot 5^{9} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$1.335480$ |
$-34677868581/28471058$ |
$1.04007$ |
$4.80116$ |
$[1, -1, 0, -8492, -466334]$ |
\(y^2+xy=x^3-x^2-8492x-466334\) |
2.3.0.a.1, 40.6.0.a.1, 616.6.0.?, 1540.6.0.?, 3080.12.0.? |
$[]$ |
| 3850.c1 |
3850g1 |
3850.c |
3850g |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 5^{8} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8160$ |
$1.262875$ |
$28151260695/70647808$ |
$0.94737$ |
$4.61992$ |
$[1, -1, 0, 4633, 220541]$ |
\(y^2+xy=x^3-x^2+4633x+220541\) |
88.2.0.? |
$[]$ |
| 3850.d1 |
3850h1 |
3850.d |
3850h |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{14} \cdot 5^{3} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2688$ |
$0.670949$ |
$384082046109/152649728$ |
$1.08808$ |
$3.81578$ |
$[1, -1, 0, -757, -4299]$ |
\(y^2+xy=x^3-x^2-757x-4299\) |
2.3.0.a.1, 40.6.0.d.1, 616.6.0.?, 770.6.0.?, 3080.12.0.? |
$[]$ |
| 3850.d2 |
3850h2 |
3850.d |
3850h |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{7} \cdot 5^{3} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5376$ |
$1.017523$ |
$12896863402851/11111230592$ |
$1.06042$ |
$4.24141$ |
$[1, -1, 0, 2443, -33099]$ |
\(y^2+xy=x^3-x^2+2443x-33099\) |
2.3.0.a.1, 40.6.0.a.1, 616.6.0.?, 1540.6.0.?, 3080.12.0.? |
$[]$ |
| 3850.e1 |
3850j2 |
3850.e |
3850j |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{5} \cdot 5^{9} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1.665855398$ |
$1$ |
|
$4$ |
$19200$ |
$1.738890$ |
$175738332394197/396829664$ |
$1.02521$ |
$5.72746$ |
$[1, -1, 0, -145867, 21437541]$ |
\(y^2+xy=x^3-x^2-145867x+21437541\) |
2.3.0.a.1, 220.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.? |
$[(243, 423)]$ |
| 3850.e2 |
3850j1 |
3850.e |
3850j |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 5^{9} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.832927699$ |
$1$ |
|
$7$ |
$9600$ |
$1.392317$ |
$-11436248277/66784256$ |
$0.96622$ |
$4.85126$ |
$[1, -1, 0, -5867, 577541]$ |
\(y^2+xy=x^3-x^2-5867x+577541\) |
2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.? |
$[(19, 678)]$ |
| 3850.f1 |
3850f3 |
3850.f |
3850f |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{3} \cdot 5^{6} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$1.431892$ |
$15226621995131793/2324168$ |
$1.03578$ |
$5.68307$ |
$[1, -1, 0, -129092, -17820184]$ |
\(y^2+xy=x^3-x^2-129092x-17820184\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$ |
$[]$ |
| 3850.f2 |
3850f4 |
3850.f |
3850f |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{3} \cdot 5^{6} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$1.431892$ |
$24331017010833/12004097336$ |
$1.13408$ |
$4.90313$ |
$[1, -1, 0, -15092, 277816]$ |
\(y^2+xy=x^3-x^2-15092x+277816\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 56.24.0.bp.1, $\ldots$ |
$[]$ |
| 3850.f3 |
3850f2 |
3850.f |
3850f |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 5^{6} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6144$ |
$1.085318$ |
$3750606459153/45914176$ |
$1.08438$ |
$4.67664$ |
$[1, -1, 0, -8092, -275184]$ |
\(y^2+xy=x^3-x^2-8092x-275184\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.2, $\ldots$ |
$[]$ |
| 3850.f4 |
3850f1 |
3850.f |
3850f |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.738745$ |
$-5545233/3469312$ |
$1.05747$ |
$3.89685$ |
$[1, -1, 0, -92, -11184]$ |
\(y^2+xy=x^3-x^2-92x-11184\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 3850.g1 |
3850l1 |
3850.g |
3850l |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2 \cdot 5^{4} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.459246099$ |
$1$ |
|
$4$ |
$672$ |
$-0.052504$ |
$-138630825/1078$ |
$0.86362$ |
$3.05220$ |
$[1, -1, 0, -92, 366]$ |
\(y^2+xy=x^3-x^2-92x+366\) |
88.2.0.? |
$[(5, 1)]$ |
| 3850.h1 |
3850a1 |
3850.h |
3850a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$308$ |
$2$ |
$0$ |
$0.644351261$ |
$1$ |
|
$2$ |
$288$ |
$-0.566213$ |
$397535/308$ |
$0.75724$ |
$1.95158$ |
$[1, 0, 1, 4, -2]$ |
\(y^2+xy+y=x^3+4x-2\) |
308.2.0.? |
$[(1, 1)]$ |
| 3850.i1 |
3850k2 |
3850.i |
3850k |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{5} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$1540$ |
$48$ |
$1$ |
$3.070170524$ |
$1$ |
|
$2$ |
$12000$ |
$1.340405$ |
$-659361145/189314048$ |
$0.97358$ |
$4.77131$ |
$[1, 0, 1, -1326, 414048]$ |
\(y^2+xy+y=x^3-1326x+414048\) |
5.24.0-5.a.1.1, 308.2.0.?, 1540.48.1.? |
$[(-27, 669)]$ |
| 3850.i2 |
3850k1 |
3850.i |
3850k |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 5^{4} \cdot 7 \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$1540$ |
$48$ |
$1$ |
$0.614034104$ |
$1$ |
|
$4$ |
$2400$ |
$0.535686$ |
$-22187592025/4509428$ |
$1.03799$ |
$3.70181$ |
$[1, 0, 1, -501, -5052]$ |
\(y^2+xy+y=x^3-501x-5052\) |
5.24.0-5.a.2.1, 308.2.0.?, 1540.48.1.? |
$[(33, 104)]$ |
| 3850.j1 |
3850c4 |
3850.j |
3850c |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2 \cdot 5^{8} \cdot 7^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$6.301628898$ |
$1$ |
|
$0$ |
$27648$ |
$1.653536$ |
$4823468134087681/30382271150$ |
$0.95452$ |
$5.54383$ |
$[1, 1, 0, -88000, -10029750]$ |
\(y^2+xy=x^3+x^2-88000x-10029750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[(4555/3, 227605/3)]$ |
| 3850.j2 |
3850c2 |
3850.j |
3850c |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{3} \cdot 5^{12} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$2.100542966$ |
$1$ |
|
$2$ |
$9216$ |
$1.104231$ |
$2177286259681/105875000$ |
$0.90546$ |
$4.61077$ |
$[1, 1, 0, -6750, 201500]$ |
\(y^2+xy=x^3+x^2-6750x+201500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(-85, 455)]$ |
| 3850.j3 |
3850c3 |
3850.j |
3850c |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 5^{7} \cdot 7^{6} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$3.150814449$ |
$1$ |
|
$3$ |
$13824$ |
$1.306963$ |
$-80677568161/3131816380$ |
$0.95293$ |
$4.72285$ |
$[1, 1, 0, -2250, -340000]$ |
\(y^2+xy=x^3+x^2-2250x-340000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[(125, 1100)]$ |
| 3850.j4 |
3850c1 |
3850.j |
3850c |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 5^{9} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1.050271483$ |
$1$ |
|
$5$ |
$4608$ |
$0.757657$ |
$109902239/4312000$ |
$0.89937$ |
$3.92128$ |
$[1, 1, 0, 250, 12500]$ |
\(y^2+xy=x^3+x^2+250x+12500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(25, 175)]$ |
| 3850.k1 |
3850d4 |
3850.k |
3850d |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 5^{18} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$5.334980921$ |
$1$ |
|
$0$ |
$82944$ |
$2.227383$ |
$1969902499564819009/63690429687500$ |
$0.98376$ |
$6.27207$ |
$[1, 1, 0, -652900, -197575500]$ |
\(y^2+xy=x^3+x^2-652900x-197575500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 28.6.0.c.1, $\ldots$ |
$[(-4670/3, 43580/3)]$ |
| 3850.k2 |
3850d2 |
3850.k |
3850d |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 5^{10} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1.778326973$ |
$1$ |
|
$2$ |
$27648$ |
$1.678076$ |
$5057359576472449/51765560000$ |
$0.95486$ |
$5.54956$ |
$[1, 1, 0, -89400, 10160000]$ |
\(y^2+xy=x^3+x^2-89400x+10160000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 28.6.0.c.1, $\ldots$ |
$[(440, 7280)]$ |
| 3850.k3 |
3850d1 |
3850.k |
3850d |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$3.556653947$ |
$1$ |
|
$3$ |
$13824$ |
$1.331501$ |
$-19443408769/4249907200$ |
$0.97281$ |
$4.75835$ |
$[1, 1, 0, -1400, 392000]$ |
\(y^2+xy=x^3+x^2-1400x+392000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(19, 601)]$ |
| 3850.k4 |
3850d3 |
3850.k |
3850d |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 5^{12} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$10.66996184$ |
$1$ |
|
$1$ |
$41472$ |
$1.880808$ |
$14156681599871/3100231750000$ |
$1.00754$ |
$5.55622$ |
$[1, 1, 0, 12600, -10570000]$ |
\(y^2+xy=x^3+x^2+12600x-10570000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 15.8.0-3.a.1.1, $\ldots$ |
$[(253900/33, 77042300/33)]$ |
| 3850.l1 |
3850e1 |
3850.l |
3850e |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{9} \cdot 5^{10} \cdot 7^{4} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$1.792530$ |
$-243979633825/1636214272$ |
$0.96524$ |
$5.43223$ |
$[1, 1, 0, -27825, 6327125]$ |
\(y^2+xy=x^3+x^2-27825x+6327125\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[]$ |
| 3850.l2 |
3850e2 |
3850.l |
3850e |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{3} \cdot 5^{10} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$77760$ |
$2.341835$ |
$171015136702175/1218033273688$ |
$1.00249$ |
$6.21290$ |
$[1, 1, 0, 247175, -158947875]$ |
\(y^2+xy=x^3+x^2+247175x-158947875\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[]$ |
| 3850.m1 |
3850p2 |
3850.m |
3850p |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2 \cdot 5^{8} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$0.613705$ |
$43949604889/42350$ |
$0.87006$ |
$4.13804$ |
$[1, 0, 0, -1838, -30458]$ |
\(y^2+xy=x^3-1838x-30458\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[]$ |
| 3850.m2 |
3850p1 |
3850.m |
3850p |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 5^{7} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.267131$ |
$-4826809/10780$ |
$0.90292$ |
$3.22526$ |
$[1, 0, 0, -88, -708]$ |
\(y^2+xy=x^3-88x-708\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[]$ |
| 3850.n1 |
3850bb1 |
3850.n |
3850bb |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{9} \cdot 5^{4} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$264$ |
$16$ |
$0$ |
$0.143055431$ |
$1$ |
|
$22$ |
$5184$ |
$0.987810$ |
$-243979633825/1636214272$ |
$0.96524$ |
$4.26255$ |
$[1, 0, 0, -1113, 50617]$ |
\(y^2+xy=x^3-1113x+50617\) |
3.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[(42, 259)]$ |
| 3850.n2 |
3850bb2 |
3850.n |
3850bb |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{3} \cdot 5^{4} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$264$ |
$16$ |
$0$ |
$0.429166294$ |
$1$ |
|
$2$ |
$15552$ |
$1.537117$ |
$171015136702175/1218033273688$ |
$1.00249$ |
$5.04322$ |
$[1, 0, 0, 9887, -1271583]$ |
\(y^2+xy=x^3+9887x-1271583\) |
3.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[(108, 975)]$ |
| 3850.o1 |
3850v2 |
3850.o |
3850v |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4096$ |
$0.712404$ |
$1426487591593/2156$ |
$0.95006$ |
$4.55955$ |
$[1, 0, 0, -5863, -173283]$ |
\(y^2+xy=x^3-5863x-173283\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[]$ |
| 3850.o2 |
3850v1 |
3850.o |
3850v |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 5^{6} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.365831$ |
$-338608873/13552$ |
$0.87448$ |
$3.55674$ |
$[1, 0, 0, -363, -2783]$ |
\(y^2+xy=x^3-363x-2783\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[]$ |
| 3850.p1 |
3850z1 |
3850.p |
3850z |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 5^{8} \cdot 7 \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$308$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.238506$ |
$397535/308$ |
$0.75724$ |
$3.12125$ |
$[1, 1, 1, 112, -219]$ |
\(y^2+xy+y=x^3+x^2+112x-219\) |
308.2.0.? |
$[]$ |
| 3850.q1 |
3850t2 |
3850.q |
3850t |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{2} \cdot 5^{10} \cdot 7 \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.3 |
5B.1.2 |
$1540$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$12000$ |
$1.340405$ |
$-22187592025/4509428$ |
$1.03799$ |
$4.87149$ |
$[1, 1, 1, -12513, -631469]$ |
\(y^2+xy+y=x^3+x^2-12513x-631469\) |
5.24.0-5.a.2.2, 308.2.0.?, 1540.48.1.? |
$[]$ |
| 3850.q2 |
3850t1 |
3850.q |
3850t |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{5} \cdot 11 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.1 |
5B.1.1 |
$1540$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$2400$ |
$0.535686$ |
$-659361145/189314048$ |
$0.97358$ |
$3.60164$ |
$[1, 1, 1, -53, 3291]$ |
\(y^2+xy+y=x^3+x^2-53x+3291\) |
5.24.0-5.a.1.2, 308.2.0.?, 1540.48.1.? |
$[]$ |
| 3850.r1 |
3850m1 |
3850.r |
3850m |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2 \cdot 5^{10} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$0.752214$ |
$-138630825/1078$ |
$0.86362$ |
$4.22187$ |
$[1, -1, 1, -2305, 43447]$ |
\(y^2+xy+y=x^3-x^2-2305x+43447\) |
88.2.0.? |
$[]$ |
| 3850.s1 |
3850n3 |
3850.s |
3850n |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 5^{7} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24576$ |
$1.760113$ |
$1010962818911303721/57392720$ |
$1.00694$ |
$6.19127$ |
$[1, -1, 1, -522730, -145336103]$ |
\(y^2+xy+y=x^3-x^2-522730x-145336103\) |
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.?, $\ldots$ |
$[]$ |
| 3850.s2 |
3850n4 |
3850.s |
3850n |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 5^{10} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24576$ |
$1.760113$ |
$1160306142246441/634128110000$ |
$1.01881$ |
$5.37125$ |
$[1, -1, 1, -54730, 1175897]$ |
\(y^2+xy+y=x^3-x^2-54730x+1175897\) |
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, $\ldots$ |
$[]$ |
| 3850.s3 |
3850n2 |
3850.s |
3850n |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{8} \cdot 5^{8} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12288$ |
$1.413540$ |
$248158561089321/1859334400$ |
$0.99943$ |
$5.18442$ |
$[1, -1, 1, -32730, -2256103]$ |
\(y^2+xy+y=x^3-x^2-32730x-2256103\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 44.24.0-44.a.1.3, 220.48.0.? |
$[]$ |
| 3850.s4 |
3850n1 |
3850.s |
3850n |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 5^{7} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.066965$ |
$-2749884201/176619520$ |
$1.01909$ |
$4.37386$ |
$[1, -1, 1, -730, -80103]$ |
\(y^2+xy+y=x^3-x^2-730x-80103\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 88.24.0.?, 110.6.0.?, $\ldots$ |
$[]$ |
| 3850.t1 |
3850s3 |
3850.t |
3850s |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 5^{11} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$12.64897778$ |
$1$ |
|
$0$ |
$245760$ |
$2.844734$ |
$3855131356812007128171561/8967612500$ |
$1.05520$ |
$8.02682$ |
$[1, -1, 1, -81666730, -284043362603]$ |
\(y^2+xy+y=x^3-x^2-81666730x-284043362603\) |
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.?, $\ldots$ |
$[(1118365/3, 1177801411/3)]$ |
| 3850.t2 |
3850s4 |
3850.t |
3850s |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{2} \cdot 5^{26} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$12.64897778$ |
$1$ |
|
$0$ |
$245760$ |
$2.844734$ |
$1098325674097093229481/205612182617187500$ |
$1.03730$ |
$7.03802$ |
$[1, -1, 1, -5373730, -3942310603]$ |
\(y^2+xy+y=x^3-x^2-5373730x-3942310603\) |
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, $\ldots$ |
$[(794265/17, 215263373/17)]$ |
| 3850.t3 |
3850s2 |
3850.t |
3850s |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 5^{16} \cdot 7^{4} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$6.324488894$ |
$1$ |
|
$4$ |
$122880$ |
$2.498158$ |
$941226862950447171561/45393906250000$ |
$1.05886$ |
$7.01933$ |
$[1, -1, 1, -5104230, -4437112603]$ |
\(y^2+xy+y=x^3-x^2-5104230x-4437112603\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 44.24.0-44.a.1.3, 220.48.0.? |
$[(2735, 43971)]$ |
| 3850.t4 |
3850s1 |
3850.t |
3850s |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 5^{11} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$3.162244447$ |
$1$ |
|
$9$ |
$61440$ |
$2.151585$ |
$-195395722614328041/50730248800000$ |
$1.03575$ |
$6.03707$ |
$[1, -1, 1, -302230, -76896603]$ |
\(y^2+xy+y=x^3-x^2-302230x-76896603\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 88.24.0.?, 110.6.0.?, $\ldots$ |
$[(1335, 42893)]$ |
| 3850.u1 |
3850r2 |
3850.u |
3850r |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{3} \cdot 5^{6} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.073871693$ |
$1$ |
|
$4$ |
$3840$ |
$0.852734$ |
$11422548526761/4312$ |
$1.11135$ |
$4.81154$ |
$[1, -1, 1, -11730, 491897]$ |
\(y^2+xy+y=x^3-x^2-11730x+491897\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(19, 515)]$ |
| 3850.u2 |
3850r1 |
3850.u |
3850r |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.536935846$ |
$1$ |
|
$7$ |
$1920$ |
$0.506160$ |
$-2749884201/54208$ |
$1.01159$ |
$3.80640$ |
$[1, -1, 1, -730, 7897]$ |
\(y^2+xy+y=x^3-x^2-730x+7897\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(13, 15)]$ |
| 3850.v1 |
3850w1 |
3850.v |
3850w |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{14} \cdot 5^{9} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13440$ |
$1.475668$ |
$384082046109/152649728$ |
$1.08808$ |
$4.98546$ |
$[1, -1, 1, -18930, -556303]$ |
\(y^2+xy+y=x^3-x^2-18930x-556303\) |
2.3.0.a.1, 40.6.0.d.1, 616.6.0.?, 770.6.0.?, 3080.12.0.? |
$[]$ |
| 3850.v2 |
3850w2 |
3850.v |
3850w |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{7} \cdot 5^{9} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.822241$ |
$12896863402851/11111230592$ |
$1.06042$ |
$5.41108$ |
$[1, -1, 1, 61070, -4076303]$ |
\(y^2+xy+y=x^3-x^2+61070x-4076303\) |
2.3.0.a.1, 40.6.0.a.1, 616.6.0.?, 1540.6.0.?, 3080.12.0.? |
$[]$ |
| 3850.w1 |
3850q1 |
3850.w |
3850q |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{17} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.144767520$ |
$1$ |
|
$8$ |
$1632$ |
$0.458155$ |
$28151260695/70647808$ |
$0.94737$ |
$3.45025$ |
$[1, -1, 1, 185, 1727]$ |
\(y^2+xy+y=x^3-x^2+185x+1727\) |
88.2.0.? |
$[(35, 206)]$ |
