| 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 |
| 25270.a1 |
25270k1 |
25270.a |
25270k |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{16} \cdot 5^{5} \cdot 7 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2660$ |
$12$ |
$0$ |
$0.912925315$ |
$1$ |
|
$7$ |
$57600$ |
$1.202608$ |
$5619814620139/1433600000$ |
$0.94722$ |
$3.76731$ |
$[1, 0, 1, -7038, -170512]$ |
\(y^2+xy+y=x^3-7038x-170512\) |
2.3.0.a.1, 76.6.0.?, 140.6.0.?, 1330.6.0.?, 2660.12.0.? |
$[(-46, 260)]$ |
| 25270.a2 |
25270k2 |
25270.a |
25270k |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{10} \cdot 7^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2660$ |
$12$ |
$0$ |
$0.456462657$ |
$1$ |
|
$12$ |
$115200$ |
$1.549183$ |
$83230218613781/122500000000$ |
$0.97746$ |
$4.07599$ |
$[1, 0, 1, 17282, -1084944]$ |
\(y^2+xy+y=x^3+17282x-1084944\) |
2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.? |
$[(85, 957)]$ |
| 25270.b1 |
25270f1 |
25270.b |
25270f |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{2} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$456$ |
$16$ |
$0$ |
$13.18710098$ |
$1$ |
|
$0$ |
$1231200$ |
$2.660336$ |
$-519504157729/40140800$ |
$0.93870$ |
$5.57796$ |
$[1, 1, 0, -3065258, -2200468652]$ |
\(y^2+xy=x^3+x^2-3065258x-2200468652\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 57.8.0-3.a.1.1, 456.16.0.? |
$[(2894009/16, 4837152363/16)]$ |
| 25270.b2 |
25270f2 |
25270.b |
25270f |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{6} \cdot 7^{6} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$456$ |
$16$ |
$0$ |
$4.395700327$ |
$1$ |
|
$2$ |
$3693600$ |
$3.209644$ |
$101491576876511/58824500000$ |
$1.07619$ |
$6.08593$ |
$[1, 1, 0, 17786102, -1128708748]$ |
\(y^2+xy=x^3+x^2+17786102x-1128708748\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 57.8.0-3.a.1.2, 456.16.0.? |
$[(781, 114672)]$ |
| 25270.c1 |
25270h1 |
25270.c |
25270h |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5^{2} \cdot 7^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.519406629$ |
$1$ |
|
$4$ |
$3744$ |
$-0.177907$ |
$-130321/2450$ |
$0.95939$ |
$2.08908$ |
$[1, 1, 0, -7, -49]$ |
\(y^2+xy=x^3+x^2-7x-49\) |
8.2.0.a.1 |
$[(7, 14)]$ |
| 25270.d1 |
25270b1 |
25270.d |
25270b |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 5 \cdot 7^{3} \cdot 19^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$604800$ |
$2.461781$ |
$-4959007166945889/543553252480$ |
$0.96824$ |
$5.32486$ |
$[1, -1, 0, -1282520, -609369664]$ |
\(y^2+xy=x^3-x^2-1282520x-609369664\) |
5320.2.0.? |
$[]$ |
| 25270.e1 |
25270c4 |
25270.e |
25270c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1064$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$1.511208$ |
$2121328796049/120050$ |
$1.01959$ |
$4.54257$ |
$[1, -1, 0, -96635, 11586075]$ |
\(y^2+xy=x^3-x^2-96635x+11586075\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 25270.e2 |
25270c3 |
25270.e |
25270c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 5^{8} \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1064$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$115200$ |
$1.511208$ |
$74565301329/5468750$ |
$0.99962$ |
$4.21229$ |
$[1, -1, 0, -31655, -2017849]$ |
\(y^2+xy=x^3-x^2-31655x-2017849\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 152.24.0.?, $\ldots$ |
$[]$ |
| 25270.e3 |
25270c2 |
25270.e |
25270c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 5^{4} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1064$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$57600$ |
$1.164633$ |
$611960049/122500$ |
$1.02632$ |
$3.73852$ |
$[1, -1, 0, -6385, 160425]$ |
\(y^2+xy=x^3-x^2-6385x+160425\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 25270.e4 |
25270c1 |
25270.e |
25270c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1064$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28800$ |
$0.818060$ |
$1367631/2800$ |
$1.00023$ |
$3.22830$ |
$[1, -1, 0, 835, 14581]$ |
\(y^2+xy=x^3-x^2+835x+14581\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 25270.f1 |
25270e1 |
25270.f |
25270e |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{9} \cdot 5 \cdot 7 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$3.194390628$ |
$1$ |
|
$2$ |
$51840$ |
$1.223066$ |
$573856191/340480$ |
$0.95110$ |
$3.73218$ |
$[1, -1, 0, 6250, 28660]$ |
\(y^2+xy=x^3-x^2+6250x+28660\) |
5320.2.0.? |
$[(423, 8633)]$ |
| 25270.g1 |
25270d2 |
25270.g |
25270d |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{21} \cdot 5^{7} \cdot 7 \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$5320$ |
$96$ |
$2$ |
$42.88872368$ |
$1$ |
|
$0$ |
$5630688$ |
$3.552956$ |
$-46905074216911089/1146880000000$ |
$1.03501$ |
$6.69529$ |
$[1, -1, 0, -137513090, 633685831956]$ |
\(y^2+xy=x^3-x^2-137513090x+633685831956\) |
7.8.0.a.1, 133.48.0.?, 280.16.0.?, 5320.96.2.? |
$[(2885971037750682995/24444413, 4151642325043354310606516568/24444413)]$ |
| 25270.g2 |
25270d1 |
25270.g |
25270d |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5 \cdot 7^{7} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$5320$ |
$96$ |
$2$ |
$6.126960526$ |
$1$ |
|
$2$ |
$804384$ |
$2.580002$ |
$-5573207889/32941720$ |
$0.98713$ |
$5.35669$ |
$[1, -1, 0, -676040, -716274760]$ |
\(y^2+xy=x^3-x^2-676040x-716274760\) |
7.8.0.a.1, 133.48.0.?, 280.16.0.?, 5320.96.2.? |
$[(1783, 60299)]$ |
| 25270.h1 |
25270a1 |
25270.h |
25270a |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 5 \cdot 7 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$0.785461918$ |
$1$ |
|
$2$ |
$3520$ |
$-0.170108$ |
$24389/140$ |
$0.75904$ |
$2.08372$ |
$[1, 0, 1, 11, -44]$ |
\(y^2+xy+y=x^3+11x-44\) |
2660.2.0.? |
$[(11, 32)]$ |
| 25270.i1 |
25270j1 |
25270.i |
25270j |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 5 \cdot 7^{11} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$0.250060056$ |
$1$ |
|
$4$ |
$95040$ |
$1.458220$ |
$-17941516933339/39546534860$ |
$0.97131$ |
$4.03674$ |
$[1, 0, 1, -10363, 889498]$ |
\(y^2+xy+y=x^3-10363x+889498\) |
2660.2.0.? |
$[(-103, 982)]$ |
| 25270.j1 |
25270g2 |
25270.j |
25270g |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5^{3} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$0.889485800$ |
$1$ |
|
$2$ |
$7776$ |
$0.198857$ |
$-1742943169/85750$ |
$0.85158$ |
$2.68801$ |
$[1, 1, 0, -178, 882]$ |
\(y^2+xy=x^3+x^2-178x+882\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 280.2.0.?, 840.8.0.?, 15960.16.0.? |
$[(9, 6)]$ |
| 25270.j2 |
25270g1 |
25270.j |
25270g |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5 \cdot 7 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$2.668457402$ |
$1$ |
|
$0$ |
$2592$ |
$-0.350450$ |
$463391/280$ |
$0.78750$ |
$1.86786$ |
$[1, 1, 0, 12, 8]$ |
\(y^2+xy=x^3+x^2+12x+8\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 280.2.0.?, 840.8.0.?, 15960.16.0.? |
$[(-1/2, 19/2)]$ |
| 25270.k1 |
25270i1 |
25270.k |
25270i |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{7} \cdot 7 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$2.565031105$ |
$1$ |
|
$2$ |
$201600$ |
$1.789984$ |
$-37966934881/332500000$ |
$0.90524$ |
$4.42003$ |
$[1, 1, 0, -25277, -6223651]$ |
\(y^2+xy=x^3+x^2-25277x-6223651\) |
5320.2.0.? |
$[(853, 23941)]$ |
| 25270.l1 |
25270l1 |
25270.l |
25270l |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{15} \cdot 5^{3} \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$777600$ |
$2.230713$ |
$-483385461758641/26693632000$ |
$0.92850$ |
$5.08708$ |
$[1, 1, 0, -590242, -182923404]$ |
\(y^2+xy=x^3+x^2-590242x-182923404\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 840.8.0.?, 5320.2.0.?, 15960.16.0.? |
$[]$ |
| 25270.l2 |
25270l2 |
25270.l |
25270l |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5 \cdot 7^{9} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2332800$ |
$2.780018$ |
$74469146542554959/44285662466080$ |
$1.00014$ |
$5.57499$ |
$[1, 1, 0, 3164158, -358687084]$ |
\(y^2+xy=x^3+x^2+3164158x-358687084\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 840.8.0.?, 5320.2.0.?, 15960.16.0.? |
$[]$ |
| 25270.m1 |
25270o1 |
25270.m |
25270o |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 5 \cdot 7 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$2.374289912$ |
$1$ |
|
$4$ |
$120960$ |
$1.570784$ |
$-7539913083529/85120$ |
$0.89850$ |
$4.66767$ |
$[1, 0, 0, -147476, -21811184]$ |
\(y^2+xy=x^3-147476x-21811184\) |
5320.2.0.? |
$[(448, 1220)]$ |
| 25270.n1 |
25270r2 |
25270.n |
25270r |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5^{3} \cdot 7^{3} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$840$ |
$16$ |
$0$ |
$3.497110227$ |
$1$ |
|
$0$ |
$147744$ |
$1.671076$ |
$-1742943169/85750$ |
$0.85158$ |
$4.43073$ |
$[1, 0, 0, -64446, -6564710]$ |
\(y^2+xy=x^3-64446x-6564710\) |
3.8.0-3.a.1.1, 280.2.0.?, 840.16.0.? |
$[(5535/2, 398785/2)]$ |
| 25270.n2 |
25270r1 |
25270.n |
25270r |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5 \cdot 7 \cdot 19^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$840$ |
$16$ |
$0$ |
$10.49133068$ |
$1$ |
|
$2$ |
$49248$ |
$1.121771$ |
$463391/280$ |
$0.78750$ |
$3.61058$ |
$[1, 0, 0, 4144, -21224]$ |
\(y^2+xy=x^3+4144x-21224\) |
3.8.0-3.a.1.2, 280.2.0.?, 840.16.0.? |
$[(28879/14, 5142327/14)]$ |
| 25270.o1 |
25270m1 |
25270.o |
25270m |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 5 \cdot 7 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$66880$ |
$1.302111$ |
$24389/140$ |
$0.75904$ |
$3.82644$ |
$[1, 1, 1, 4144, 308373]$ |
\(y^2+xy+y=x^3+x^2+4144x+308373\) |
2660.2.0.? |
$[]$ |
| 25270.p1 |
25270t1 |
25270.p |
25270t |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5 \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.595631$ |
$-4483146738169/521360$ |
$0.89449$ |
$4.61640$ |
$[1, 1, 1, -124011, -16862231]$ |
\(y^2+xy+y=x^3+x^2-124011x-16862231\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 420.8.0.?, 2660.2.0.?, 7980.16.0.? |
$[]$ |
| 25270.p2 |
25270t2 |
25270.p |
25270t |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7980$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$2.144936$ |
$7892485271/24582656000$ |
$0.99374$ |
$4.83818$ |
$[1, 1, 1, 14974, -51729777]$ |
\(y^2+xy+y=x^3+x^2+14974x-51729777\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 420.8.0.?, 2660.2.0.?, 7980.16.0.? |
$[]$ |
| 25270.q1 |
25270x1 |
25270.q |
25270x |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{2} \cdot 5 \cdot 7^{11} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1805760$ |
$2.930439$ |
$-17941516933339/39546534860$ |
$0.97131$ |
$5.77946$ |
$[1, 1, 1, -3740870, -6108550233]$ |
\(y^2+xy+y=x^3+x^2-3740870x-6108550233\) |
2660.2.0.? |
$[]$ |
| 25270.r1 |
25270p2 |
25270.r |
25270p |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{21} \cdot 5^{7} \cdot 7 \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.2 |
7B.2.3 |
$5320$ |
$96$ |
$2$ |
$3.743278446$ |
$1$ |
|
$2$ |
$296352$ |
$2.080738$ |
$-46905074216911089/1146880000000$ |
$1.03501$ |
$4.95257$ |
$[1, -1, 1, -380923, -92287253]$ |
\(y^2+xy+y=x^3-x^2-380923x-92287253\) |
7.16.0-7.a.1.1, 133.48.0.?, 280.32.0.?, 5320.96.2.? |
$[(715, 346)]$ |
| 25270.r2 |
25270p1 |
25270.r |
25270p |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5 \cdot 7^{7} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.1 |
7B.2.1 |
$5320$ |
$96$ |
$2$ |
$0.534754063$ |
$1$ |
|
$4$ |
$42336$ |
$1.107782$ |
$-5573207889/32941720$ |
$0.98713$ |
$3.61397$ |
$[1, -1, 1, -1873, 104921]$ |
\(y^2+xy+y=x^3-x^2-1873x+104921\) |
7.16.0-7.a.1.2, 133.48.0.?, 280.32.0.?, 5320.96.2.? |
$[(-7, 346)]$ |
| 25270.s1 |
25270s4 |
25270.s |
25270s |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 5^{4} \cdot 7 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$2.090160$ |
$20214562937713929/665000$ |
$1.00479$ |
$5.44636$ |
$[1, -1, 1, -2048743, 1129214007]$ |
\(y^2+xy+y=x^3-x^2-2048743x+1129214007\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.y.1, 152.12.0.?, $\ldots$ |
$[]$ |
| 25270.s2 |
25270s2 |
25270.s |
25270s |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$172800$ |
$1.743586$ |
$4955605568649/28302400$ |
$0.95516$ |
$4.62626$ |
$[1, -1, 1, -128223, 17617031]$ |
\(y^2+xy+y=x^3-x^2-128223x+17617031\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.b.1, 152.12.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
| 25270.s3 |
25270s3 |
25270.s |
25270s |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5 \cdot 7^{4} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$2.090160$ |
$-413327139849/12516028840$ |
$0.97349$ |
$4.77348$ |
$[1, -1, 1, -56023, 37284311]$ |
\(y^2+xy+y=x^3-x^2-56023x+37284311\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.s.1, 56.12.0-4.c.1.5, 152.12.0.?, $\ldots$ |
$[]$ |
| 25270.s4 |
25270s1 |
25270.s |
25270s |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{12} \cdot 5 \cdot 7 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86400$ |
$1.397013$ |
$4818245769/2723840$ |
$0.92261$ |
$3.94208$ |
$[1, -1, 1, -12703, -80633]$ |
\(y^2+xy+y=x^3-x^2-12703x-80633\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.y.1, 152.12.0.?, $\ldots$ |
$[]$ |
| 25270.t1 |
25270n1 |
25270.t |
25270n |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{16} \cdot 5 \cdot 7^{7} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1.438841258$ |
$1$ |
|
$2$ |
$967680$ |
$2.594448$ |
$1762396940073671/5127312834560$ |
$0.96019$ |
$5.34312$ |
$[1, 0, 0, 908449, -668734375]$ |
\(y^2+xy=x^3+908449x-668734375\) |
2660.2.0.? |
$[(1094, 39885)]$ |
| 25270.u1 |
25270q1 |
25270.u |
25270q |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{2} \cdot 19^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$0.606088276$ |
$1$ |
|
$10$ |
$64800$ |
$1.188118$ |
$-519504157729/40140800$ |
$0.93870$ |
$3.83524$ |
$[1, 0, 0, -8491, 319921]$ |
\(y^2+xy=x^3-8491x+319921\) |
3.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.8 |
$[(-84, 707)]$ |
| 25270.u2 |
25270q2 |
25270.u |
25270q |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{6} \cdot 7^{6} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$0.202029425$ |
$1$ |
|
$4$ |
$194400$ |
$1.737425$ |
$101491576876511/58824500000$ |
$1.07619$ |
$4.34321$ |
$[1, 0, 0, 49269, 169745]$ |
\(y^2+xy=x^3+49269x+169745\) |
3.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.6 |
$[(1018, 32741)]$ |
| 25270.v1 |
25270v1 |
25270.v |
25270v |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5^{2} \cdot 7^{2} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$4.277807876$ |
$1$ |
|
$0$ |
$71136$ |
$1.294312$ |
$-130321/2450$ |
$0.95939$ |
$3.83180$ |
$[1, 0, 0, -2715, 314867]$ |
\(y^2+xy=x^3-2715x+314867\) |
8.2.0.a.1 |
$[(31/2, 4309/2)]$ |
| 25270.w1 |
25270u1 |
25270.w |
25270u |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 5 \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$1.077551$ |
$-4826809/65170$ |
$0.92228$ |
$3.57569$ |
$[1, 1, 1, -1271, -86561]$ |
\(y^2+xy+y=x^3+x^2-1271x-86561\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 840.8.0.?, 5320.2.0.?, 15960.16.0.? |
$[]$ |
| 25270.w2 |
25270u2 |
25270.w |
25270u |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{3} \cdot 7 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15960$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$1.626858$ |
$3449795831/48013000$ |
$0.89276$ |
$4.21863$ |
$[1, 1, 1, 11364, 2243333]$ |
\(y^2+xy+y=x^3+x^2+11364x+2243333\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 840.8.0.?, 5320.2.0.?, 15960.16.0.? |
$[]$ |
| 25270.x1 |
25270y1 |
25270.x |
25270y |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{16} \cdot 5^{5} \cdot 7 \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1094400$ |
$2.674828$ |
$5619814620139/1433600000$ |
$0.94722$ |
$5.51003$ |
$[1, 1, 1, -2540545, 1164459007]$ |
\(y^2+xy+y=x^3+x^2-2540545x+1164459007\) |
2.3.0.a.1, 76.6.0.?, 140.6.0.?, 1330.6.0.?, 2660.12.0.? |
$[]$ |
| 25270.x2 |
25270y2 |
25270.x |
25270y |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{8} \cdot 5^{10} \cdot 7^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2188800$ |
$3.021400$ |
$83230218613781/122500000000$ |
$0.97746$ |
$5.81872$ |
$[1, 1, 1, 6238975, 7454107135]$ |
\(y^2+xy+y=x^3+x^2+6238975x+7454107135\) |
2.3.0.a.1, 38.6.0.b.1, 140.6.0.?, 2660.12.0.? |
$[]$ |
| 25270.y1 |
25270w1 |
25270.y |
25270w |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 5^{5} \cdot 7 \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2660$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.464058$ |
$-781229961/6650000$ |
$0.89242$ |
$4.03430$ |
$[1, -1, 1, -6927, -877721]$ |
\(y^2+xy+y=x^3-x^2-6927x-877721\) |
2660.2.0.? |
$[]$ |
