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 |
128271.a1 |
128271o1 |
128271.a |
128271o |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3 \cdot 11 \cdot 13^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$19734$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$419328$ |
$1.161812$ |
$512000/759$ |
$0.66480$ |
$3.11823$ |
$[0, -1, 1, 3662, 105354]$ |
\(y^2+y=x^3-x^2+3662x+105354\) |
19734.2.0.? |
$[]$ |
128271.b1 |
128271j1 |
128271.b |
128271j |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$26312$ |
$4$ |
$0$ |
$0.415244414$ |
$1$ |
|
$14$ |
$226560$ |
$1.006701$ |
$-5046629022322537/5184729$ |
$0.92318$ |
$3.51027$ |
$[1, 1, 1, -19757, 1060652]$ |
\(y^2+xy+y=x^3+x^2-19757x+1060652\) |
4.2.0.a.1, 26312.4.0.? |
$[(80, -29), (87, 55)]$ |
128271.c1 |
128271i1 |
128271.c |
128271i |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{2} \cdot 11 \cdot 13^{7} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13156$ |
$2$ |
$0$ |
$1.437569131$ |
$1$ |
|
$10$ |
$134400$ |
$0.825555$ |
$18191447/29601$ |
$0.73599$ |
$2.78020$ |
$[1, 1, 1, 926, 14984]$ |
\(y^2+xy+y=x^3+x^2+926x+14984\) |
13156.2.0.? |
$[(-8, 88), (-31/5, 14718/5)]$ |
128271.d1 |
128271h1 |
128271.d |
128271h |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{7} \cdot 11^{2} \cdot 13^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3092544$ |
$2.363804$ |
$-417612944086897/3219716709$ |
$0.90787$ |
$4.60796$ |
$[1, 1, 1, -1455009, 679411884]$ |
\(y^2+xy+y=x^3+x^2-1455009x+679411884\) |
276.2.0.? |
$[]$ |
128271.e1 |
128271r2 |
128271.e |
128271r |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3 \cdot 11^{2} \cdot 13^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$408576$ |
$1.417231$ |
$66775173193/32452563$ |
$0.83794$ |
$3.42753$ |
$[1, 0, 0, -14284, -264187]$ |
\(y^2+xy=x^3-14284x-264187\) |
2.3.0.a.1, 12.6.0.a.1, 13156.6.0.?, 39468.12.0.? |
$[]$ |
128271.e2 |
128271r1 |
128271.e |
128271r |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{2} \cdot 11 \cdot 13^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$204288$ |
$1.070658$ |
$37159393753/29601$ |
$0.80667$ |
$3.37770$ |
$[1, 0, 0, -11749, -490816]$ |
\(y^2+xy=x^3-11749x-490816\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[]$ |
128271.f1 |
128271q2 |
128271.f |
128271q |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{3} \cdot 11^{6} \cdot 13^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$0.534148329$ |
$1$ |
|
$10$ |
$5031936$ |
$2.746681$ |
$48194566758167973625/4276241773947$ |
$0.95098$ |
$5.16171$ |
$[1, 0, 0, -12812823, 17650450206]$ |
\(y^2+xy=x^3-12812823x+17650450206\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[(2445, 29451)]$ |
128271.f2 |
128271q1 |
128271.f |
128271q |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{6} \cdot 11^{3} \cdot 13^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1.068296659$ |
$1$ |
|
$7$ |
$2515968$ |
$2.400108$ |
$-9424014732015625/3529882751967$ |
$0.95149$ |
$4.47809$ |
$[1, 0, 0, -743688, 316758519]$ |
\(y^2+xy=x^3-743688x+316758519\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[(561, 8448)]$ |
128271.g1 |
128271k1 |
128271.g |
128271k |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{5} \cdot 11 \cdot 13^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$19734$ |
$2$ |
$0$ |
$4.243892073$ |
$1$ |
|
$0$ |
$188160$ |
$1.126070$ |
$-2258403328/799227$ |
$0.79249$ |
$3.18017$ |
$[0, -1, 1, -4619, -151864]$ |
\(y^2+y=x^3-x^2-4619x-151864\) |
19734.2.0.? |
$[(1557/2, 60329/2)]$ |
128271.h1 |
128271n2 |
128271.h |
128271n |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{3} \cdot 11^{4} \cdot 13^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$13.90681359$ |
$1$ |
|
$0$ |
$30965760$ |
$3.474705$ |
$7693306744841411288190049/5972602147083$ |
$1.02266$ |
$6.18030$ |
$[1, 1, 0, -695050697, -7053272628930]$ |
\(y^2+xy=x^3+x^2-695050697x-7053272628930\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(4270216621/268, 244261484701839/268)]$ |
128271.h2 |
128271n1 |
128271.h |
128271n |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{6} \cdot 11^{2} \cdot 13^{14} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$27.81362718$ |
$1$ |
|
$1$ |
$15482880$ |
$3.128132$ |
$-1877057431204035025009/1654960196879847$ |
$0.99764$ |
$5.47320$ |
$[1, 1, 0, -43431482, -110269893105]$ |
\(y^2+xy=x^3+x^2-43431482x-110269893105\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(18006992484458/26533, 73334225593355937887/26533)]$ |
128271.i1 |
128271d1 |
128271.i |
128271d |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{7} \cdot 11^{2} \cdot 13^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$2.438691850$ |
$1$ |
|
$2$ |
$237888$ |
$1.081331$ |
$-417612944086897/3219716709$ |
$0.90787$ |
$3.29953$ |
$[1, 1, 0, -8609, 305934]$ |
\(y^2+xy=x^3+x^2-8609x+305934\) |
276.2.0.? |
$[(58, 48)]$ |
128271.j1 |
128271a2 |
128271.j |
128271a |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{13} \cdot 11^{6} \cdot 13^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$48.18808461$ |
$1$ |
|
$0$ |
$46126080$ |
$3.837563$ |
$68189672611244300966761393/252507800509796403$ |
$1.00040$ |
$6.36581$ |
$[1, 1, 0, -1438417646, -20998420265571]$ |
\(y^2+xy=x^3+x^2-1438417646x-20998420265571\) |
2.3.0.a.1, 12.6.0.a.1, 13156.6.0.?, 39468.12.0.? |
$[(-117735161297421883036196/2317312131, 84905840928085563879341110988501/2317312131)]$ |
128271.j2 |
128271a1 |
128271.j |
128271a |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{26} \cdot 11^{3} \cdot 13^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$96.37616922$ |
$1$ |
|
$1$ |
$23063040$ |
$3.490990$ |
$17388345671060487020353/1011583801834263801$ |
$0.97520$ |
$5.66233$ |
$[1, 1, 0, -91214711, -318046891560]$ |
\(y^2+xy=x^3+x^2-91214711x-318046891560\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[(9111367991554667519887593505496868358005208/6230880602537378421, 27451268354466860669224488691240683672202756321637232386272166468/6230880602537378421)]$ |
128271.k1 |
128271g2 |
128271.k |
128271g |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3 \cdot 11^{6} \cdot 13^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2386944$ |
$2.353230$ |
$63395672188101553/475137974883$ |
$0.91844$ |
$4.59772$ |
$[1, 1, 0, -1403886, -636670419]$ |
\(y^2+xy=x^3+x^2-1403886x-636670419\) |
2.3.0.a.1, 12.6.0.a.1, 13156.6.0.?, 39468.12.0.? |
$[]$ |
128271.k2 |
128271g1 |
128271.k |
128271g |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{2} \cdot 11^{3} \cdot 13^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1193472$ |
$2.006657$ |
$63052870949070913/3581721$ |
$0.91827$ |
$4.59725$ |
$[1, 1, 0, -1401351, -639095400]$ |
\(y^2+xy=x^3+x^2-1401351x-639095400\) |
2.3.0.a.1, 12.6.0.b.1, 6578.6.0.?, 39468.12.0.? |
$[]$ |
128271.l1 |
128271l1 |
128271.l |
128271l |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{10} \cdot 11^{3} \cdot 13^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13156$ |
$2$ |
$0$ |
$1.485894098$ |
$1$ |
|
$2$ |
$1209600$ |
$2.036449$ |
$-515097425213281/23499671481$ |
$0.88977$ |
$4.19498$ |
$[1, 1, 0, -282233, 59825394]$ |
\(y^2+xy=x^3+x^2-282233x+59825394\) |
13156.2.0.? |
$[(230, 2558)]$ |
128271.m1 |
128271e2 |
128271.m |
128271e |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{5} \cdot 11^{4} \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$1.884960$ |
$209849322390625/1882056627$ |
$0.99362$ |
$4.11218$ |
$[1, 1, 0, -209225, -36636426]$ |
\(y^2+xy=x^3+x^2-209225x-36636426\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[]$ |
128271.m2 |
128271e1 |
128271.m |
128271e |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{10} \cdot 11^{2} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.538387$ |
$-1349232625/164333367$ |
$0.95842$ |
$3.55100$ |
$[1, 1, 0, -3890, -1359873]$ |
\(y^2+xy=x^3+x^2-3890x-1359873\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
128271.n1 |
128271m2 |
128271.n |
128271m |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{3} \cdot 11^{2} \cdot 13^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$8.962202115$ |
$1$ |
|
$0$ |
$967680$ |
$1.870443$ |
$4007026517395537/12698829$ |
$0.90202$ |
$4.36294$ |
$[1, 1, 0, -559224, 160730055]$ |
\(y^2+xy=x^3+x^2-559224x+160730055\) |
2.3.0.a.1, 138.6.0.?, 572.6.0.?, 39468.12.0.? |
$[(84683/14, -550621/14)]$ |
128271.n2 |
128271m1 |
128271.n |
128271m |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{6} \cdot 11 \cdot 13^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$39468$ |
$12$ |
$0$ |
$4.481101057$ |
$1$ |
|
$1$ |
$483840$ |
$1.523870$ |
$-939176600257/55146663$ |
$0.84057$ |
$3.66051$ |
$[1, 1, 0, -34479, 2571912]$ |
\(y^2+xy=x^3+x^2-34479x+2571912\) |
2.3.0.a.1, 276.6.0.?, 286.6.0.?, 39468.12.0.? |
$[(459/2, 2565/2)]$ |
128271.o1 |
128271b1 |
128271.o |
128271b |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{2} \cdot 11 \cdot 13^{13} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13156$ |
$2$ |
$0$ |
$9.825375505$ |
$1$ |
|
$0$ |
$6209280$ |
$2.763653$ |
$-7396831582983827713/75582659427561$ |
$0.94274$ |
$5.00385$ |
$[1, 1, 0, -6860051, 6973678938]$ |
\(y^2+xy=x^3+x^2-6860051x+6973678938\) |
13156.2.0.? |
$[(30314/5, 2546602/5)]$ |
128271.p1 |
128271c1 |
128271.p |
128271c |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{4} \cdot 11^{2} \cdot 13^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$2024$ |
$4$ |
$0$ |
$3.297995453$ |
$1$ |
|
$2$ |
$2945280$ |
$2.289177$ |
$-5046629022322537/5184729$ |
$0.92318$ |
$4.81870$ |
$[1, 1, 0, -3338936, 2346947517]$ |
\(y^2+xy=x^3+x^2-3338936x+2346947517\) |
4.2.0.a.1, 2024.4.0.? |
$[(1068, 225)]$ |
128271.q1 |
128271p6 |
128271.q |
128271p |
$6$ |
$8$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3 \cdot 11 \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$157872$ |
$192$ |
$1$ |
$1$ |
$64$ |
$2$ |
$0$ |
$2359296$ |
$2.397583$ |
$89254274298475942657/17457$ |
$1.00726$ |
$5.21410$ |
$[1, 0, 1, -15734580, -24024509507]$ |
\(y^2+xy+y=x^3-15734580x-24024509507\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.f.1, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
128271.q2 |
128271p4 |
128271.q |
128271p |
$6$ |
$8$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{2} \cdot 11^{2} \cdot 13^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$78936$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$2$ |
$1179648$ |
$2.051010$ |
$21790813729717297/304746849$ |
$0.97272$ |
$4.50692$ |
$[1, 0, 1, -983415, -375441779]$ |
\(y^2+xy+y=x^3-983415x-375441779\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.1, 52.24.0-4.b.1.1, 88.24.0.?, $\ldots$ |
$[]$ |
128271.q3 |
128271p5 |
128271.q |
128271p |
$6$ |
$8$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3 \cdot 11 \cdot 13^{6} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$157872$ |
$192$ |
$1$ |
$1$ |
$64$ |
$2$ |
$0$ |
$2359296$ |
$2.397583$ |
$-19989223566735457/2584262514273$ |
$0.97497$ |
$4.51673$ |
$[1, 0, 1, -955530, -397727471]$ |
\(y^2+xy+y=x^3-955530x-397727471\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.1, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
128271.q4 |
128271p3 |
128271.q |
128271p |
$6$ |
$8$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{2} \cdot 11^{8} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$157872$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1179648$ |
$2.051010$ |
$309368403125137/44372288367$ |
$0.95365$ |
$4.14518$ |
$[1, 0, 1, -238125, 38769109]$ |
\(y^2+xy+y=x^3-238125x+38769109\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.by.2, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
128271.q5 |
128271p2 |
128271.q |
128271p |
$6$ |
$8$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 3^{4} \cdot 11^{4} \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$78936$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$589824$ |
$1.704435$ |
$5786435182177/627352209$ |
$0.98731$ |
$3.80689$ |
$[1, 0, 1, -63210, -5519369]$ |
\(y^2+xy+y=x^3-63210x-5519369\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.h.2, 52.24.0-4.b.1.3, 88.24.0.?, $\ldots$ |
$[]$ |
128271.q6 |
128271p1 |
128271.q |
128271p |
$6$ |
$8$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3^{8} \cdot 11^{2} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$157872$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.357861$ |
$3288008303/18259263$ |
$0.97810$ |
$3.35444$ |
$[1, 0, 1, 5235, -427061]$ |
\(y^2+xy+y=x^3+5235x-427061\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 46.6.0.a.1, 48.24.0.f.2, $\ldots$ |
$[]$ |
128271.r1 |
128271f1 |
128271.r |
128271f |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( - 3 \cdot 11 \cdot 13^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$19734$ |
$2$ |
$0$ |
$1.869275040$ |
$1$ |
|
$0$ |
$32256$ |
$-0.120663$ |
$512000/759$ |
$0.66480$ |
$1.80980$ |
$[0, -1, 1, 22, 41]$ |
\(y^2+y=x^3-x^2+22x+41\) |
19734.2.0.? |
$[(-3/2, 35/2)]$ |