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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
409101.a1 |
409101a1 |
409101.a |
409101a |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{7} \cdot 11^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$4.807944569$ |
$1$ |
|
$2$ |
$17136000$ |
$2.297424$ |
$-98867482624/20696067$ |
$[0, -1, 1, -571160, -193688188]$ |
\(y^2+y=x^3-x^2-571160x-193688188\) |
966.2.0.? |
$[(943, 10265)]$ |
409101.b1 |
409101b1 |
409101.b |
409101b |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{7} \cdot 11^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1372800$ |
$1.374073$ |
$512000/483$ |
$[0, -1, 1, 9882, 296834]$ |
\(y^2+y=x^3-x^2+9882x+296834\) |
966.2.0.? |
$[]$ |
409101.c1 |
409101c1 |
409101.c |
409101c |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{6} \cdot 7^{11} \cdot 11^{7} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$5.303568403$ |
$1$ |
|
$8$ |
$27648000$ |
$2.682552$ |
$5319051554816/3099832659$ |
$[0, -1, 1, 2156180, -102986346]$ |
\(y^2+y=x^3-x^2+2156180x-102986346\) |
3542.2.0.? |
$[(1489, 80041), (279, 22808)]$ |
409101.d1 |
409101d1 |
409101.d |
409101d |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{2} \cdot 7^{9} \cdot 11^{7} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$1.956836807$ |
$1$ |
|
$2$ |
$44236800$ |
$3.026878$ |
$-473093337088/218558899251$ |
$[0, 1, 1, -962474, -10275428740]$ |
\(y^2+y=x^3+x^2-962474x-10275428740\) |
3542.2.0.? |
$[(4605, 288040)]$ |
409101.e1 |
409101e1 |
409101.e |
409101e |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{4} \cdot 11^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5464800$ |
$2.172878$ |
$1268071343/2956581$ |
$[1, 1, 1, 180711, -51384684]$ |
\(y^2+xy+y=x^3+x^2+180711x-51384684\) |
276.2.0.? |
$[]$ |
409101.f1 |
409101f1 |
409101.f |
409101f |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{8} \cdot 11^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$21732480$ |
$2.854073$ |
$-925539769/5589$ |
$[1, 1, 1, -10776081, -13691025468]$ |
\(y^2+xy+y=x^3+x^2-10776081x-13691025468\) |
276.2.0.? |
$[]$ |
409101.g1 |
409101g1 |
409101.g |
409101g |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{10} \cdot 7^{6} \cdot 11^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$3864$ |
$4$ |
$0$ |
$6.912384283$ |
$1$ |
|
$2$ |
$6819840$ |
$2.325584$ |
$-1411796061716161/31236921$ |
$[1, 1, 1, -2801576, -1806095950]$ |
\(y^2+xy+y=x^3+x^2-2801576x-1806095950\) |
4.2.0.a.1, 3864.4.0.? |
$[(14694, 1761814)]$ |
409101.h1 |
409101h2 |
409101.h |
409101h |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3 \cdot 7^{6} \cdot 11^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$2.392946840$ |
$1$ |
|
$2$ |
$1843200$ |
$1.644508$ |
$413493625/1587$ |
$[1, 1, 1, -92023, -10747318]$ |
\(y^2+xy+y=x^3+x^2-92023x-10747318\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(402, 3973)]$ |
409101.h2 |
409101h1 |
409101.h |
409101h |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{2} \cdot 7^{6} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$4.785893680$ |
$1$ |
|
$3$ |
$921600$ |
$1.297935$ |
$-15625/207$ |
$[1, 1, 1, -3088, -324136]$ |
\(y^2+xy+y=x^3+x^2-3088x-324136\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(1406, 51996)]$ |
409101.i1 |
409101i1 |
409101.i |
409101i |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{3} \cdot 11^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3317760$ |
$1.897711$ |
$-5862183923791/4979799$ |
$[1, 1, 1, -318172, -69261466]$ |
\(y^2+xy+y=x^3+x^2-318172x-69261466\) |
21252.2.0.? |
$[]$ |
409101.j1 |
409101j1 |
409101.j |
409101j |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{8} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.572645712$ |
$1$ |
|
$2$ |
$22752576$ |
$2.921337$ |
$-1877953/10412307$ |
$[1, 1, 1, -275822, -5457909346]$ |
\(y^2+xy+y=x^3+x^2-275822x-5457909346\) |
6.2.0.a.1 |
$[(10214, 1023211)]$ |
409101.k1 |
409101k1 |
409101.k |
409101k |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{2} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.292801297$ |
$1$ |
|
$6$ |
$3250368$ |
$1.948381$ |
$-1877953/10412307$ |
$[1, 0, 0, -5629, 15911468]$ |
\(y^2+xy=x^3-5629x+15911468\) |
6.2.0.a.1 |
$[(131, 4109)]$ |
409101.l1 |
409101l1 |
409101.l |
409101l |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3 \cdot 7^{7} \cdot 11^{2} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1932$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2119680$ |
$1.738075$ |
$9692612875033/135163203$ |
$[1, 0, 0, -107654, 13421673]$ |
\(y^2+xy=x^3-107654x+13421673\) |
1932.2.0.? |
$[]$ |
409101.m1 |
409101m1 |
409101.m |
409101m |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{9} \cdot 11^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21252$ |
$2$ |
$0$ |
$0.511891099$ |
$1$ |
|
$4$ |
$23224320$ |
$2.870667$ |
$-5862183923791/4979799$ |
$[1, 0, 0, -15590429, 23709911490]$ |
\(y^2+xy=x^3-15590429x+23709911490\) |
21252.2.0.? |
$[(4267, 184630)]$ |
409101.n1 |
409101n1 |
409101.n |
409101n |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{2} \cdot 7^{10} \cdot 11^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$3864$ |
$4$ |
$0$ |
$1.504978503$ |
$1$ |
|
$2$ |
$109486080$ |
$3.680286$ |
$-8215987648966801/3198907525401$ |
$[1, 0, 0, -123278856, 681391013337]$ |
\(y^2+xy=x^3-123278856x+681391013337\) |
4.2.0.a.1, 3864.4.0.? |
$[(5576, 406313)]$ |
409101.o1 |
409101o1 |
409101.o |
409101o |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3 \cdot 7^{9} \cdot 11^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1932$ |
$2$ |
$0$ |
$4.407682955$ |
$1$ |
|
$2$ |
$4257792$ |
$2.100376$ |
$40962625/23667$ |
$[1, 0, 0, -210603, -1511322]$ |
\(y^2+xy=x^3-210603x-1511322\) |
1932.2.0.? |
$[(-283, 6095)]$ |
409101.p1 |
409101p1 |
409101.p |
409101p |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{2} \cdot 11^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3104640$ |
$1.881117$ |
$-925539769/5589$ |
$[1, 0, 0, -219920, 39884109]$ |
\(y^2+xy=x^3-219920x+39884109\) |
276.2.0.? |
$[]$ |
409101.q1 |
409101q1 |
409101.q |
409101q |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{10} \cdot 11^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38253600$ |
$3.145832$ |
$1268071343/2956581$ |
$[1, 0, 0, 8854838, 17651511065]$ |
\(y^2+xy=x^3+8854838x+17651511065\) |
276.2.0.? |
$[]$ |
409101.r1 |
409101r1 |
409101.r |
409101r |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{14} \cdot 7^{10} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$3864$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$130572288$ |
$3.713398$ |
$9411184794706607/6074987633001$ |
$[1, 0, 0, 128988236, -191566866919]$ |
\(y^2+xy=x^3+128988236x-191566866919\) |
4.2.0.a.1, 3864.4.0.? |
$[]$ |
409101.s1 |
409101s2 |
409101.s |
409101s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{8} \cdot 7^{8} \cdot 11^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25067520$ |
$2.666531$ |
$264621653112601/81336717$ |
$[1, 0, 0, -7930161, -8593877412]$ |
\(y^2+xy=x^3-7930161x-8593877412\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
409101.s2 |
409101s1 |
409101.s |
409101s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{7} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12533760$ |
$2.319958$ |
$-42180533641/36293103$ |
$[1, 0, 0, -429976, -171169657]$ |
\(y^2+xy=x^3-429976x-171169657\) |
2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.? |
$[]$ |
409101.t1 |
409101t1 |
409101.t |
409101t |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{3} \cdot 7^{7} \cdot 11^{4} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1932$ |
$2$ |
$0$ |
$2.125274853$ |
$1$ |
|
$2$ |
$2488320$ |
$1.531237$ |
$71973621841/4347$ |
$[1, 0, 0, -103881, -12895002]$ |
\(y^2+xy=x^3-103881x-12895002\) |
1932.2.0.? |
$[(417, 3834)]$ |
409101.u1 |
409101u2 |
409101.u |
409101u |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{3} \cdot 7^{7} \cdot 11^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$4.820708926$ |
$1$ |
|
$0$ |
$98537472$ |
$3.647568$ |
$564661380021747712/27978783021$ |
$[0, -1, 1, -504968977, 4367604502722]$ |
\(y^2+y=x^3-x^2-504968977x+4367604502722\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 21.8.0-3.a.1.2, 42.16.0-42.b.1.2 |
$[(-28491/2, 22058767/2)]$ |
409101.u2 |
409101u1 |
409101.u |
409101u |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{9} \cdot 7^{9} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$1.606902975$ |
$1$ |
|
$4$ |
$32845824$ |
$3.098263$ |
$7414712369152/3571421301$ |
$[0, -1, 1, -11913337, -6476975583]$ |
\(y^2+y=x^3-x^2-11913337x-6476975583\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 21.8.0-3.a.1.1, 42.16.0-42.b.1.1 |
$[(-2823, 68183)]$ |
409101.v1 |
409101v2 |
409101.v |
409101v |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{3} \cdot 7^{7} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$3.346079472$ |
$1$ |
|
$0$ |
$8957952$ |
$2.448620$ |
$564661380021747712/27978783021$ |
$[0, -1, 1, -4173297, -3279928345]$ |
\(y^2+y=x^3-x^2-4173297x-3279928345\) |
3.4.0.a.1, 42.8.0.b.1, 66.8.0-3.a.1.1, 231.8.0.?, 462.16.0.? |
$[(-198277/13, 296993/13)]$ |
409101.v2 |
409101v1 |
409101.v |
409101v |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{9} \cdot 7^{9} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$1.115359824$ |
$1$ |
|
$4$ |
$2985984$ |
$1.899315$ |
$7414712369152/3571421301$ |
$[0, -1, 1, -98457, 4902050]$ |
\(y^2+y=x^3-x^2-98457x+4902050\) |
3.4.0.a.1, 42.8.0.b.1, 66.8.0-3.a.1.2, 231.8.0.?, 462.16.0.? |
$[(-226, 3944)]$ |
409101.w1 |
409101w1 |
409101.w |
409101w |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{11} \cdot 7^{10} \cdot 11^{6} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$20697600$ |
$3.029831$ |
$1605632000/93710763$ |
$[0, -1, 1, 1936807, 10366453712]$ |
\(y^2+y=x^3-x^2+1936807x+10366453712\) |
6.2.0.a.1 |
$[]$ |
409101.x1 |
409101x1 |
409101.x |
409101x |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{9} \cdot 11^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2399040$ |
$1.810114$ |
$-4096000/69$ |
$[0, -1, 1, -138343, -20045565]$ |
\(y^2+y=x^3-x^2-138343x-20045565\) |
966.2.0.? |
$[]$ |
409101.y1 |
409101y1 |
409101.y |
409101y |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{3} \cdot 7^{2} \cdot 11^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$1.142339782$ |
$1$ |
|
$4$ |
$829440$ |
$1.312616$ |
$-62992384000/14283$ |
$[0, -1, 1, -36703, 2719254]$ |
\(y^2+y=x^3-x^2-36703x+2719254\) |
3.4.0.a.1, 6.8.0.b.1, 231.8.0.?, 462.16.0.? |
$[(114, 60)]$ |
409101.y2 |
409101y2 |
409101.y |
409101y |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{2} \cdot 11^{6} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$3.427019348$ |
$1$ |
|
$2$ |
$2488320$ |
$1.861923$ |
$3584000000/444107667$ |
$[0, -1, 1, 14117, 9419871]$ |
\(y^2+y=x^3-x^2+14117x+9419871\) |
3.4.0.a.1, 6.8.0.b.1, 231.8.0.?, 462.16.0.? |
$[(-117, 2480)]$ |
409101.z1 |
409101z1 |
409101.z |
409101z |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{9} \cdot 11^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$2.917671914$ |
$1$ |
|
$2$ |
$10881024$ |
$2.691578$ |
$-134217728/1863$ |
$[0, -1, 1, -4869685, 4187113545]$ |
\(y^2+y=x^3-x^2-4869685x+4187113545\) |
3542.2.0.? |
$[(1405, 10804)]$ |
409101.ba1 |
409101ba1 |
409101.ba |
409101ba |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{9} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$4.751146168$ |
$1$ |
|
$2$ |
$989184$ |
$1.492630$ |
$-134217728/1863$ |
$[0, -1, 1, -40245, -3131206]$ |
\(y^2+y=x^3-x^2-40245x-3131206\) |
3542.2.0.? |
$[(268, 2293)]$ |
409101.bb1 |
409101bb1 |
409101.bb |
409101bb |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{3} \cdot 11^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$0.560357089$ |
$1$ |
|
$12$ |
$141312$ |
$0.519674$ |
$-134217728/1863$ |
$[0, 1, 1, -821, 8894]$ |
\(y^2+y=x^3+x^2-821x+8894\) |
3542.2.0.? |
$[(16, 10), (-26, 115)]$ |
409101.bc1 |
409101bc1 |
409101.bc |
409101bc |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 7^{3} \cdot 11^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3542$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1554432$ |
$1.718622$ |
$-134217728/1863$ |
$[0, 1, 1, -99381, -12235723]$ |
\(y^2+y=x^3+x^2-99381x-12235723\) |
3542.2.0.? |
$[]$ |
409101.bd1 |
409101bd1 |
409101.bd |
409101bd |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{3} \cdot 7^{8} \cdot 11^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$66$ |
$16$ |
$0$ |
$9.096682096$ |
$1$ |
|
$2$ |
$5806080$ |
$2.285572$ |
$-62992384000/14283$ |
$[0, 1, 1, -1798463, -929107294]$ |
\(y^2+y=x^3+x^2-1798463x-929107294\) |
3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.2, 66.16.0-6.b.1.2 |
$[(203452, 91766581)]$ |
409101.bd2 |
409101bd2 |
409101.bd |
409101bd |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{8} \cdot 11^{6} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$66$ |
$16$ |
$0$ |
$27.29004628$ |
$1$ |
|
$0$ |
$17418240$ |
$2.834877$ |
$3584000000/444107667$ |
$[0, 1, 1, 691717, -3232399285]$ |
\(y^2+y=x^3+x^2+691717x-3232399285\) |
3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.1, 66.16.0-6.b.1.1 |
$[(7787839400373/6187, 21733520988843326386/6187)]$ |
409101.be1 |
409101be1 |
409101.be |
409101be |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{3} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$2.400219666$ |
$1$ |
|
$2$ |
$342720$ |
$0.837159$ |
$-4096000/69$ |
$[0, 1, 1, -2823, 57635]$ |
\(y^2+y=x^3+x^2-2823x+57635\) |
966.2.0.? |
$[(23, 73)]$ |
409101.bf1 |
409101bf1 |
409101.bf |
409101bf |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{11} \cdot 7^{4} \cdot 11^{6} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.874636430$ |
$1$ |
|
$14$ |
$2956800$ |
$2.056877$ |
$1605632000/93710763$ |
$[0, 1, 1, 39527, -30211604]$ |
\(y^2+y=x^3+x^2+39527x-30211604\) |
6.2.0.a.1 |
$[(1052, 34303), (326, 4174)]$ |
409101.bg1 |
409101bg1 |
409101.bg |
409101bg |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{4} \cdot 11^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$496800$ |
$0.973931$ |
$1268071343/2956581$ |
$[1, 1, 0, 1494, 39285]$ |
\(y^2+xy=x^3+x^2+1494x+39285\) |
276.2.0.? |
$[]$ |
409101.bh1 |
409101bh2 |
409101.bh |
409101bh |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{12} \cdot 7^{3} \cdot 11^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$5.008664253$ |
$1$ |
|
$0$ |
$5529600$ |
$2.196724$ |
$262623524091319/134454573$ |
$[1, 1, 0, -1130021, 461682390]$ |
\(y^2+xy=x^3+x^2-1130021x+461682390\) |
2.3.0.a.1, 28.6.0.c.1, 1012.6.0.?, 7084.12.0.? |
$[(-977/2, 216115/2)]$ |
409101.bh2 |
409101bh1 |
409101.bh |
409101bh |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{6} \cdot 7^{3} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$2.504332126$ |
$1$ |
|
$3$ |
$2764800$ |
$1.850151$ |
$-36561310759/46662561$ |
$[1, 1, 0, -58566, 9742671]$ |
\(y^2+xy=x^3+x^2-58566x+9742671\) |
2.3.0.a.1, 14.6.0.b.1, 1012.6.0.?, 7084.12.0.? |
$[(66, 2451)]$ |
409101.bi1 |
409101bi1 |
409101.bi |
409101bi |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{10} \cdot 7^{6} \cdot 11^{10} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$42504$ |
$4$ |
$0$ |
$4.615830393$ |
$1$ |
|
$2$ |
$75018240$ |
$3.524532$ |
$-1411796061716161/31236921$ |
$[1, 1, 0, -338990698, 2402218755721]$ |
\(y^2+xy=x^3+x^2-338990698x+2402218755721\) |
4.2.0.a.1, 42504.4.0.? |
$[(10648, 2209)]$ |
409101.bj1 |
409101bj1 |
409101.bj |
409101bj |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{5} \cdot 7^{8} \cdot 11^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1975680$ |
$1.655125$ |
$-925539769/5589$ |
$[1, 1, 0, -89058, 10245789]$ |
\(y^2+xy=x^3+x^2-89058x+10245789\) |
276.2.0.? |
$[]$ |
409101.bk1 |
409101bk1 |
409101.bk |
409101bk |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{2} \cdot 11^{6} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$806400$ |
$1.110086$ |
$-105484561/36501$ |
$[1, 1, 0, -4358, -141819]$ |
\(y^2+xy=x^3+x^2-4358x-141819\) |
276.2.0.? |
$[]$ |
409101.bl1 |
409101bl1 |
409101.bl |
409101bl |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3^{9} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$11.42161147$ |
$1$ |
|
$0$ |
$2068416$ |
$1.722389$ |
$-1877953/10412307$ |
$[1, 1, 0, -2279, 4099572]$ |
\(y^2+xy=x^3+x^2-2279x+4099572\) |
6.2.0.a.1 |
$[(108496/41, 139467654/41)]$ |
409101.bm1 |
409101bm6 |
409101.bm |
409101bm |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3 \cdot 7^{6} \cdot 11^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$85008$ |
$192$ |
$1$ |
$64.11156888$ |
$1$ |
|
$0$ |
$47185920$ |
$3.287010$ |
$89254274298475942657/17457$ |
$[1, 1, 0, -552013739, -4992211246392]$ |
\(y^2+xy=x^3+x^2-552013739x-4992211246392\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.f.1, 66.6.0.a.1, $\ldots$ |
$[(74279036601629614862988175699/420879017830, 20196053212589879824716102242025181764436083/420879017830)]$ |
409101.bm2 |
409101bm4 |
409101.bm |
409101bm |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{2} \cdot 7^{6} \cdot 11^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$42504$ |
$192$ |
$1$ |
$32.05578444$ |
$1$ |
|
$2$ |
$23592960$ |
$2.940437$ |
$21790813729717297/304746849$ |
$[1, 1, 0, -34500974, -78013532505]$ |
\(y^2+xy=x^3+x^2-34500974x-78013532505\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 56.24.0-4.b.1.2, 84.24.0.?, $\ldots$ |
$[(36635096564335898/295667, 7005968313827941972247857/295667)]$ |
409101.bm3 |
409101bm5 |
409101.bm |
409101bm |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{6} \cdot 11^{7} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$85008$ |
$192$ |
$1$ |
$64.11156888$ |
$1$ |
|
$0$ |
$47185920$ |
$3.287010$ |
$-19989223566735457/2584262514273$ |
$[1, 1, 0, -33522689, -82644538038]$ |
\(y^2+xy=x^3+x^2-33522689x-82644538038\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.1, 56.24.0-8.n.1.4, $\ldots$ |
$[(48404708489866219852103815561/339858572488, 10640321933343526947523542901330724937388271/339858572488)]$ |
409101.bm4 |
409101bm3 |
409101.bm |
409101bm |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{2} \cdot 7^{6} \cdot 11^{14} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$85008$ |
$192$ |
$1$ |
$8.013946110$ |
$1$ |
|
$0$ |
$23592960$ |
$2.940437$ |
$309368403125137/44372288367$ |
$[1, 1, 0, -8354084, 8056799997]$ |
\(y^2+xy=x^3+x^2-8354084x+8056799997\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.2, 92.12.0.?, $\ldots$ |
$[(14621/4, 2175611/4)]$ |
409101.bm5 |
409101bm2 |
409101.bm |
409101bm |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{4} \cdot 7^{6} \cdot 11^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$42504$ |
$192$ |
$1$ |
$16.02789222$ |
$1$ |
|
$2$ |
$11796480$ |
$2.593864$ |
$5786435182177/627352209$ |
$[1, 1, 0, -2217569, -1146745200]$ |
\(y^2+xy=x^3+x^2-2217569x-1146745200\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 56.24.0-4.b.1.3, 88.24.0.?, $\ldots$ |
$[(414461200/283, 7986733894880/283)]$ |