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 |
221067.a1 |
221067b2 |
221067.a |
221067b |
$2$ |
$5$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 11^{6} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$66990$ |
$48$ |
$1$ |
$30.42333187$ |
$1$ |
|
$0$ |
$10080000$ |
$2.333839$ |
$-1099616058781696/143578043$ |
$1.03288$ |
$4.51910$ |
$[0, 0, 1, -2341713, -1379423444]$ |
\(y^2+y=x^3-2341713x-1379423444\) |
5.12.0.a.2, 165.24.0.?, 406.2.0.?, 2030.24.1.?, 66990.48.1.? |
$[(120662900310161/258070, 309819131345300820909/258070)]$ |
221067.a2 |
221067b1 |
221067.a |
221067b |
$2$ |
$5$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7^{5} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$66990$ |
$48$ |
$1$ |
$6.084666374$ |
$1$ |
|
$0$ |
$2016000$ |
$1.529119$ |
$841232384/487403$ |
$1.28149$ |
$3.37467$ |
$[0, 0, 1, 21417, -41594]$ |
\(y^2+y=x^3+21417x-41594\) |
5.12.0.a.1, 165.24.0.?, 406.2.0.?, 2030.24.1.?, 66990.48.1.? |
$[(1991/5, 184039/5)]$ |
221067.b1 |
221067a1 |
221067.b |
221067a |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 11^{10} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2597760$ |
$1.698677$ |
$-495616/203$ |
$0.66606$ |
$3.59325$ |
$[0, 0, 1, -43923, 4630216]$ |
\(y^2+y=x^3-43923x+4630216\) |
406.2.0.? |
$[]$ |
221067.c1 |
221067c2 |
221067.c |
221067c |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{12} \cdot 7^{4} \cdot 11^{3} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$4.214301317$ |
$1$ |
|
$8$ |
$442368$ |
$1.372360$ |
$669233048723/50759541$ |
$0.92884$ |
$3.33285$ |
$[1, -1, 1, -18041, -864894]$ |
\(y^2+xy+y=x^3-x^2-18041x-864894\) |
2.3.0.a.1, 132.6.0.?, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[(-73, 279), (-81, 285)]$ |
221067.c2 |
221067c1 |
221067.c |
221067c |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{9} \cdot 7^{2} \cdot 11^{3} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1.053575329$ |
$1$ |
|
$19$ |
$221184$ |
$1.025787$ |
$5706550403/1112643$ |
$0.83764$ |
$2.94568$ |
$[1, -1, 1, -3686, 71052]$ |
\(y^2+xy+y=x^3-x^2-3686x+71052\) |
2.3.0.a.1, 66.6.0.a.1, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[(14, 141), (18, 92)]$ |
221067.d1 |
221067m2 |
221067.d |
221067m |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{9} \cdot 7^{3} \cdot 11^{7} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$5.711180901$ |
$1$ |
|
$2$ |
$25712640$ |
$3.266945$ |
$834563889111074499/2244268390133$ |
$1.01311$ |
$5.32581$ |
$[1, -1, 1, -64080776, 196998840316]$ |
\(y^2+xy+y=x^3-x^2-64080776x+196998840316\) |
2.3.0.a.1, 348.6.0.?, 924.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[(13181, 1274920)]$ |
221067.d2 |
221067m1 |
221067.d |
221067m |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{9} \cdot 7^{6} \cdot 11^{8} \cdot 29^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$2.855590450$ |
$1$ |
|
$5$ |
$12856320$ |
$2.920368$ |
$-46574399618739/347190316781$ |
$0.92792$ |
$4.74374$ |
$[1, -1, 1, -2448821, 5496029740]$ |
\(y^2+xy+y=x^3-x^2-2448821x+5496029740\) |
2.3.0.a.1, 174.6.0.?, 924.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[(-1372, 79880)]$ |
221067.e1 |
221067e1 |
221067.e |
221067e |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7^{2} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$285600$ |
$1.032064$ |
$-1/1421$ |
$1.01742$ |
$2.90039$ |
$[1, -1, 1, -23, -65172]$ |
\(y^2+xy+y=x^3-x^2-23x-65172\) |
116.2.0.? |
$[]$ |
221067.f1 |
221067d1 |
221067.f |
221067d |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{9} \cdot 7 \cdot 11^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13398$ |
$2$ |
$0$ |
$0.965933850$ |
$1$ |
|
$4$ |
$414720$ |
$1.344381$ |
$-1/60291$ |
$0.98548$ |
$3.20494$ |
$[1, -1, 1, -23, -424542]$ |
\(y^2+xy+y=x^3-x^2-23x-424542\) |
13398.2.0.? |
$[(146, 1560)]$ |
221067.g1 |
221067f1 |
221067.g |
221067f |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{8} \cdot 7 \cdot 11^{3} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$2.158521309$ |
$1$ |
|
$3$ |
$79872$ |
$0.467910$ |
$3723875/1827$ |
$0.75760$ |
$2.34968$ |
$[1, -1, 1, -320, 938]$ |
\(y^2+xy+y=x^3-x^2-320x+938\) |
2.3.0.a.1, 132.6.0.?, 2436.6.0.?, 4466.6.0.?, 26796.12.0.? |
$[(39, 196)]$ |
221067.g2 |
221067f2 |
221067.g |
221067f |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{7} \cdot 7^{2} \cdot 11^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1.079260654$ |
$1$ |
|
$4$ |
$159744$ |
$0.814484$ |
$180362125/123627$ |
$0.82314$ |
$2.66498$ |
$[1, -1, 1, 1165, 6284]$ |
\(y^2+xy+y=x^3-x^2+1165x+6284\) |
2.3.0.a.1, 132.6.0.?, 2436.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[(3, 97)]$ |
221067.h1 |
221067n1 |
221067.h |
221067n |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{9} \cdot 7^{3} \cdot 11^{7} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13398$ |
$2$ |
$0$ |
$1.196898560$ |
$1$ |
|
$10$ |
$2695680$ |
$2.244507$ |
$-74246873427/92019697$ |
$0.84461$ |
$4.09958$ |
$[1, -1, 1, -286067, 104453902]$ |
\(y^2+xy+y=x^3-x^2-286067x+104453902\) |
13398.2.0.? |
$[(-184, 12373), (-590, 8516)]$ |
221067.i1 |
221067j1 |
221067.i |
221067j |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{8} \cdot 7^{3} \cdot 11^{8} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$4.003577878$ |
$1$ |
|
$2$ |
$1216512$ |
$1.782404$ |
$42568823/89523$ |
$0.79142$ |
$3.60062$ |
$[1, -1, 1, 39181, -4854594]$ |
\(y^2+xy+y=x^3-x^2+39181x-4854594\) |
406.2.0.? |
$[(128, 1434)]$ |
221067.j1 |
221067k1 |
221067.j |
221067k |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{12} \cdot 7^{3} \cdot 11^{4} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$2.620296919$ |
$1$ |
|
$2$ |
$1244160$ |
$1.905563$ |
$-36883367257/6098396283$ |
$0.96711$ |
$3.75199$ |
$[1, -1, 1, -15269, -12292464]$ |
\(y^2+xy+y=x^3-x^2-15269x-12292464\) |
406.2.0.? |
$[(905, 26277)]$ |
221067.k1 |
221067l3 |
221067.k |
221067l |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{9} \cdot 7^{2} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$107184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$15728640$ |
$3.038914$ |
$947531277805646290177/38367$ |
$1.01996$ |
$5.62963$ |
$[1, -1, 1, -222835559, 1280394355056]$ |
\(y^2+xy+y=x^3-x^2-222835559x+1280394355056\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.e.1, 112.24.0.?, $\ldots$ |
$[]$ |
221067.k2 |
221067l6 |
221067.k |
221067l |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{30} \cdot 7 \cdot 11^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$107184$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$31457280$ |
$3.385490$ |
$8471112631466271697/1662662681263647$ |
$1.00847$ |
$5.24631$ |
$[1, -1, 1, -46248764, -98399914104]$ |
\(y^2+xy+y=x^3-x^2-46248764x-98399914104\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0.h.1, 48.24.0.e.2, $\ldots$ |
$[]$ |
221067.k3 |
221067l4 |
221067.k |
221067l |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{18} \cdot 7^{2} \cdot 11^{6} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$53592$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$15728640$ |
$3.038914$ |
$244883173420511137/18418027974129$ |
$1.08831$ |
$4.95835$ |
$[1, -1, 1, -14194049, 19202424288]$ |
\(y^2+xy+y=x^3-x^2-14194049x+19202424288\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 28.24.0.c.1, 88.24.0.?, $\ldots$ |
$[]$ |
221067.k4 |
221067l2 |
221067.k |
221067l |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{12} \cdot 7^{4} \cdot 11^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$53592$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$7864320$ |
$2.692341$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$4.95373$ |
$[1, -1, 1, -13927244, 20008708998]$ |
\(y^2+xy+y=x^3-x^2-13927244x+20008708998\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 56.24.0.m.1, 88.24.0.?, $\ldots$ |
$[]$ |
221067.k5 |
221067l1 |
221067.k |
221067l |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{9} \cdot 7^{8} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$107184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.345768$ |
$-53297461115137/4513839183$ |
$0.94722$ |
$4.28422$ |
$[1, -1, 1, -853799, 325330206]$ |
\(y^2+xy+y=x^3-x^2-853799x+325330206\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 88.24.0.?, $\ldots$ |
$[]$ |
221067.k6 |
221067l5 |
221067.k |
221067l |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{12} \cdot 7 \cdot 11^{6} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$107184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$31457280$ |
$3.385490$ |
$215015459663151503/2552757445339983$ |
$1.02586$ |
$5.18922$ |
$[1, -1, 1, 13591786, 85199339580]$ |
\(y^2+xy+y=x^3-x^2+13591786x+85199339580\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 24.24.0.bz.2, $\ldots$ |
$[]$ |
221067.l1 |
221067g3 |
221067.l |
221067g |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{6} \cdot 7^{3} \cdot 11^{14} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$6.337508201$ |
$1$ |
|
$0$ |
$20643840$ |
$3.135777$ |
$16798320881842096017/2132227789307$ |
$0.97557$ |
$5.30194$ |
$[1, -1, 1, -58104344, 170470952776]$ |
\(y^2+xy+y=x^3-x^2-58104344x+170470952776\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 232.12.0.?, 264.12.0.?, $\ldots$ |
$[(18655/2, 222631/2)]$ |
221067.l2 |
221067g4 |
221067.l |
221067g |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{6} \cdot 7^{12} \cdot 11^{8} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$6.337508201$ |
$1$ |
|
$0$ |
$20643840$ |
$3.135777$ |
$1048626554636928177/48569076788309$ |
$0.99097$ |
$5.07654$ |
$[1, -1, 1, -23049434, -40847245172]$ |
\(y^2+xy+y=x^3-x^2-23049434x-40847245172\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 58.6.0.a.1, 116.12.0.?, $\ldots$ |
$[(-40451/4, 2354225/4)]$ |
221067.l3 |
221067g2 |
221067.l |
221067g |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{6} \cdot 7^{6} \cdot 11^{10} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$3.168754100$ |
$1$ |
|
$4$ |
$10321920$ |
$2.789204$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.64610$ |
$[1, -1, 1, -3942929, 2180604088]$ |
\(y^2+xy+y=x^3-x^2-3942929x+2180604088\) |
2.6.0.a.1, 28.12.0.b.1, 116.12.0.?, 132.12.0.?, 812.24.0.?, $\ldots$ |
$[(217, 36431)]$ |
221067.l4 |
221067g1 |
221067.l |
221067g |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7^{3} \cdot 11^{8} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1.584377050$ |
$1$ |
|
$3$ |
$5160960$ |
$2.442631$ |
$22062729659823/29354283343$ |
$0.91629$ |
$4.22271$ |
$[1, -1, 1, 636316, 222518926]$ |
\(y^2+xy+y=x^3-x^2+636316x+222518926\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 132.12.0.?, $\ldots$ |
$[(7670, 671647)]$ |
221067.m1 |
221067h3 |
221067.m |
221067h |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{12} \cdot 7 \cdot 11^{7} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$26.80609635$ |
$1$ |
|
$0$ |
$79626240$ |
$3.885300$ |
$72371679832051361738355457/1627857$ |
$1.00712$ |
$6.54327$ |
$[1, -1, 1, -9454593479, 353846826376926]$ |
\(y^2+xy+y=x^3-x^2-9454593479x+353846826376926\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 264.12.0.?, 348.12.0.?, $\ldots$ |
$[(209503278464345/61064, -2075047574894868447/61064)]$ |
221067.m2 |
221067h4 |
221067.m |
221067h |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{30} \cdot 7^{4} \cdot 11^{7} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$6.701524089$ |
$1$ |
|
$0$ |
$79626240$ |
$3.885300$ |
$17825137625614555960417/216318148151991039$ |
$0.98174$ |
$5.86808$ |
$[1, -1, 1, -592649069, 5494828926678]$ |
\(y^2+xy+y=x^3-x^2-592649069x+5494828926678\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 132.12.0.?, 348.12.0.?, $\ldots$ |
$[(18077/4, 140570049/4)]$ |
221067.m3 |
221067h2 |
221067.m |
221067h |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{18} \cdot 7^{2} \cdot 11^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$13.40304817$ |
$1$ |
|
$2$ |
$39813120$ |
$3.538727$ |
$17668869054438249282097/2649918412449$ |
$0.98151$ |
$5.86737$ |
$[1, -1, 1, -590912114, 5528967040248]$ |
\(y^2+xy+y=x^3-x^2-590912114x+5528967040248\) |
2.6.0.a.1, 28.12.0.b.1, 132.12.0.?, 348.12.0.?, 924.24.0.?, $\ldots$ |
$[(343187199/155, 164747433508/155)]$ |
221067.m4 |
221067h1 |
221067.m |
221067h |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{12} \cdot 7 \cdot 11^{10} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$6.701524089$ |
$1$ |
|
$1$ |
$19906560$ |
$3.192154$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$5.19247$ |
$[1, -1, 1, -36823469, 86930004516]$ |
\(y^2+xy+y=x^3-x^2-36823469x+86930004516\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 132.12.0.?, $\ldots$ |
$[(131184/5, 24092863/5)]$ |
221067.n1 |
221067i1 |
221067.n |
221067i |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{12} \cdot 7^{7} \cdot 11^{10} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$12.48266756$ |
$1$ |
|
$0$ |
$42577920$ |
$3.573696$ |
$-289531596860402017/17410522563$ |
$0.97095$ |
$5.75138$ |
$[1, -1, 1, -367177064, -2708128529994]$ |
\(y^2+xy+y=x^3-x^2-367177064x-2708128529994\) |
406.2.0.? |
$[(60405902/23, 461695137798/23)]$ |
221067.o1 |
221067p1 |
221067.o |
221067p |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{11} \cdot 7^{7} \cdot 11^{8} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12418560$ |
$3.078846$ |
$5652299539972096/168301718109$ |
$0.96266$ |
$5.04181$ |
$[0, 0, 1, -19988958, 33501393450]$ |
\(y^2+y=x^3-19988958x+33501393450\) |
42.2.0.a.1 |
$[]$ |
221067.p1 |
221067o1 |
221067.p |
221067o |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{11} \cdot 7^{7} \cdot 11^{2} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.823482495$ |
$1$ |
|
$14$ |
$1128960$ |
$1.879900$ |
$5652299539972096/168301718109$ |
$0.96266$ |
$3.87270$ |
$[0, 0, 1, -165198, -25170093]$ |
\(y^2+y=x^3-165198x-25170093\) |
42.2.0.a.1 |
$[(-219, 710), (5465, 402853)]$ |
221067.q1 |
221067q1 |
221067.q |
221067q |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 11^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13398$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1209600$ |
$1.851328$ |
$-28094464000/20657483$ |
$0.84860$ |
$3.72640$ |
$[0, 0, 1, -68970, 10505250]$ |
\(y^2+y=x^3-68970x+10505250\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 13398.16.0.? |
$[]$ |
221067.q2 |
221067q2 |
221067.q |
221067q |
$2$ |
$3$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7^{3} \cdot 11^{12} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13398$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3628800$ |
$2.400635$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.17145$ |
$[0, 0, 1, 562650, -162148077]$ |
\(y^2+y=x^3+562650x-162148077\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 13398.16.0.? |
$[]$ |
221067.r1 |
221067t1 |
221067.r |
221067t |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{7} \cdot 7 \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.616826744$ |
$1$ |
|
$4$ |
$139776$ |
$0.853873$ |
$31719424/17661$ |
$0.90922$ |
$2.71860$ |
$[0, 0, 1, -1452, 4144]$ |
\(y^2+y=x^3-1452x+4144\) |
42.2.0.a.1 |
$[(-22, 159)]$ |
221067.s1 |
221067u1 |
221067.s |
221067u |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{19} \cdot 7 \cdot 11^{2} \cdot 29^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2196480$ |
$2.133625$ |
$31379200581566464/7893440560341$ |
$1.06523$ |
$4.01199$ |
$[0, 0, 1, -292512, -45783752]$ |
\(y^2+y=x^3-292512x-45783752\) |
42.2.0.a.1 |
$[]$ |
221067.t1 |
221067r1 |
221067.t |
221067r |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{19} \cdot 7 \cdot 11^{8} \cdot 29^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24161280$ |
$3.332573$ |
$31379200581566464/7893440560341$ |
$1.06523$ |
$5.18110$ |
$[0, 0, 1, -35393952, 60938173579]$ |
\(y^2+y=x^3-35393952x+60938173579\) |
42.2.0.a.1 |
$[]$ |
221067.u1 |
221067s1 |
221067.u |
221067s |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{7} \cdot 7 \cdot 11^{10} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$6.068710212$ |
$1$ |
|
$0$ |
$1537536$ |
$2.052822$ |
$31719424/17661$ |
$0.90922$ |
$3.88771$ |
$[0, 0, 1, -175692, -5515997]$ |
\(y^2+y=x^3-175692x-5515997\) |
42.2.0.a.1 |
$[(-1319/4, 185539/4)]$ |
221067.v1 |
221067w1 |
221067.v |
221067w |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7^{5} \cdot 11^{8} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1584000$ |
$1.920168$ |
$-23068672/487403$ |
$0.92700$ |
$3.76667$ |
$[0, 0, 1, -31944, 13458739]$ |
\(y^2+y=x^3-31944x+13458739\) |
406.2.0.? |
$[]$ |
221067.w1 |
221067v1 |
221067.w |
221067v |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7^{5} \cdot 11^{2} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$5.398882688$ |
$1$ |
|
$6$ |
$144000$ |
$0.721221$ |
$-23068672/487403$ |
$0.92700$ |
$2.59755$ |
$[0, 0, 1, -264, -10112]$ |
\(y^2+y=x^3-264x-10112\) |
406.2.0.? |
$[(26, 24), (236, 3615)]$ |
221067.x1 |
221067x1 |
221067.x |
221067x |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{7} \cdot 7^{5} \cdot 11^{9} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13398$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5760000$ |
$2.437511$ |
$-1484391946907017/1946200179$ |
$0.90472$ |
$4.54364$ |
$[1, -1, 0, -2588031, -1603683284]$ |
\(y^2+xy=x^3-x^2-2588031x-1603683284\) |
13398.2.0.? |
$[]$ |
221067.y1 |
221067bb2 |
221067.y |
221067bb |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{6} \cdot 7^{2} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$4.320170759$ |
$1$ |
|
$0$ |
$737280$ |
$1.572620$ |
$408023180713/1421$ |
$0.90984$ |
$3.87720$ |
$[1, -1, 0, -168273, 26610700]$ |
\(y^2+xy=x^3-x^2-168273x+26610700\) |
2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.? |
$[(1431/2, 26399/2)]$ |
221067.y2 |
221067bb1 |
221067.y |
221067bb |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 11^{6} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$2.160085379$ |
$1$ |
|
$3$ |
$368640$ |
$1.226046$ |
$-95443993/5887$ |
$0.82232$ |
$3.20605$ |
$[1, -1, 0, -10368, 430051]$ |
\(y^2+xy=x^3-x^2-10368x+430051\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(278, 4217)]$ |
221067.z1 |
221067y3 |
221067.z |
221067y |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{18} \cdot 7 \cdot 11^{7} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5898240$ |
$2.674698$ |
$187519537050946633/1186707753$ |
$0.93261$ |
$4.93667$ |
$[1, -1, 0, -12985803, 18014708344]$ |
\(y^2+xy=x^3-x^2-12985803x+18014708344\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
221067.z2 |
221067y2 |
221067.z |
221067y |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{12} \cdot 7^{2} \cdot 11^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2949120$ |
$2.328125$ |
$48455467135993/3635004681$ |
$0.88285$ |
$4.26538$ |
$[1, -1, 0, -827118, 270323455]$ |
\(y^2+xy=x^3-x^2-827118x+270323455\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 812.12.0.?, $\ldots$ |
$[]$ |
221067.z3 |
221067y1 |
221067.z |
221067y |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{9} \cdot 7 \cdot 11^{10} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.981552$ |
$408023180713/80247321$ |
$0.84673$ |
$3.87720$ |
$[1, -1, 0, -168273, -21544880]$ |
\(y^2+xy=x^3-x^2-168273x-21544880\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.2, 264.24.0.?, $\ldots$ |
$[]$ |
221067.z4 |
221067y4 |
221067.z |
221067y |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 3^{9} \cdot 7^{4} \cdot 11^{7} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5898240$ |
$2.674698$ |
$42227808999767/504359959257$ |
$0.92634$ |
$4.49615$ |
$[1, -1, 0, 790047, 1197605866]$ |
\(y^2+xy=x^3-x^2+790047x+1197605866\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
221067.ba1 |
221067ba2 |
221067.ba |
221067ba |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{12} \cdot 7^{4} \cdot 11^{9} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4866048$ |
$2.571308$ |
$669233048723/50759541$ |
$0.92884$ |
$4.50196$ |
$[1, -1, 0, -2182923, 1157722330]$ |
\(y^2+xy=x^3-x^2-2182923x+1157722330\) |
2.3.0.a.1, 132.6.0.?, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[]$ |
221067.ba2 |
221067ba1 |
221067.ba |
221067ba |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{9} \cdot 7^{2} \cdot 11^{9} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2433024$ |
$2.224735$ |
$5706550403/1112643$ |
$0.83764$ |
$4.11480$ |
$[1, -1, 0, -445968, -93232661]$ |
\(y^2+xy=x^3-x^2-445968x-93232661\) |
2.3.0.a.1, 66.6.0.a.1, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[]$ |
221067.bb1 |
221067z4 |
221067.bb |
221067z |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{7} \cdot 7 \cdot 11^{7} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3194880$ |
$2.256859$ |
$215751695207833/163381911$ |
$0.97684$ |
$4.38674$ |
$[1, -1, 0, -1360728, -610209275]$ |
\(y^2+xy=x^3-x^2-1360728x-610209275\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 84.12.0.?, 696.12.0.?, $\ldots$ |
$[]$ |
221067.bb2 |
221067z2 |
221067.bb |
221067z |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{8} \cdot 7^{2} \cdot 11^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1597440$ |
$1.910286$ |
$93391282153/44876601$ |
$0.95512$ |
$3.75738$ |
$[1, -1, 0, -102933, -5209880]$ |
\(y^2+xy=x^3-x^2-102933x-5209880\) |
2.6.0.a.1, 44.12.0-2.a.1.1, 84.12.0.?, 348.12.0.?, 812.12.0.?, $\ldots$ |
$[]$ |