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 |
140679.a1 |
140679a1 |
140679.a |
140679a |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{6} \cdot 7^{4} \cdot 11^{4} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1.693908315$ |
$1$ |
|
$12$ |
$437760$ |
$1.261427$ |
$1581667741696/424589$ |
$0.89423$ |
$3.58225$ |
$[0, 0, 1, -29253, 1925320]$ |
\(y^2+y=x^3-29253x+1925320\) |
58.2.0.a.1 |
$[(95, 60), (-26, 1633)]$ |
140679.b1 |
140679c1 |
140679.b |
140679c |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{6} \cdot 7^{10} \cdot 11^{4} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$6.541123527$ |
$1$ |
|
$2$ |
$3064320$ |
$2.234383$ |
$1581667741696/424589$ |
$0.89423$ |
$4.56717$ |
$[0, 0, 1, -1433397, -660384846]$ |
\(y^2+y=x^3-1433397x-660384846\) |
58.2.0.a.1 |
$[(1388, 4909)]$ |
140679.c1 |
140679b1 |
140679.c |
140679b |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7^{6} \cdot 11 \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$370944$ |
$1.179502$ |
$-5601816576/9251$ |
$0.88114$ |
$3.43475$ |
$[0, 0, 1, -16317, -803392]$ |
\(y^2+y=x^3-16317x-803392\) |
22.2.0.a.1 |
$[]$ |
140679.d1 |
140679d2 |
140679.d |
140679d |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{10} \cdot 7^{3} \cdot 11^{2} \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$53592$ |
$48$ |
$1$ |
$0.851569868$ |
$1$ |
|
$20$ |
$851968$ |
$1.615088$ |
$12824406200143/6932061081$ |
$0.93379$ |
$3.59465$ |
$[1, -1, 1, -30722, -524590]$ |
\(y^2+xy+y=x^3-x^2-30722x-524590\) |
2.3.0.a.1, 4.6.0.e.1, 28.12.0.l.1, 88.12.0.?, 616.24.0.?, $\ldots$ |
$[(-68, 1150), (-39, 802)]$ |
140679.d2 |
140679d1 |
140679.d |
140679d |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{8} \cdot 7^{3} \cdot 11^{4} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$53592$ |
$48$ |
$1$ |
$3.406279475$ |
$1$ |
|
$15$ |
$425984$ |
$1.268515$ |
$178738971137/110817729$ |
$0.90199$ |
$3.23417$ |
$[1, -1, 1, 7393, -67210]$ |
\(y^2+xy+y=x^3-x^2+7393x-67210\) |
2.3.0.a.1, 4.6.0.e.1, 14.6.0.b.1, 28.12.0.k.1, 88.12.0.?, $\ldots$ |
$[(72, 877), (333, 6097)]$ |
140679.e1 |
140679m2 |
140679.e |
140679m |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{9} \cdot 7^{6} \cdot 11 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$6.107983963$ |
$1$ |
|
$0$ |
$801792$ |
$1.518387$ |
$21647657403/9251$ |
$0.91346$ |
$3.82658$ |
$[1, -1, 1, -76817, -8172440]$ |
\(y^2+xy+y=x^3-x^2-76817x-8172440\) |
2.3.0.a.1, 66.6.0.a.1, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[(2507/2, 107641/2)]$ |
140679.e2 |
140679m1 |
140679.e |
140679m |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{9} \cdot 7^{6} \cdot 11^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$3.053991981$ |
$1$ |
|
$3$ |
$400896$ |
$1.171812$ |
$-3176523/3509$ |
$0.93171$ |
$3.17203$ |
$[1, -1, 1, -4052, -168290]$ |
\(y^2+xy+y=x^3-x^2-4052x-168290\) |
2.3.0.a.1, 132.6.0.?, 174.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[(107, 730)]$ |
140679.f1 |
140679n2 |
140679.f |
140679n |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{3} \cdot 7^{9} \cdot 11 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3428352$ |
$2.491646$ |
$834563889111074499/2244268390133$ |
$1.01311$ |
$4.74404$ |
$[1, -1, 1, -2883341, -1879377874]$ |
\(y^2+xy+y=x^3-x^2-2883341x-1879377874\) |
2.3.0.a.1, 348.6.0.?, 924.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[]$ |
140679.f2 |
140679n1 |
140679.f |
140679n |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{3} \cdot 7^{12} \cdot 11^{2} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1714176$ |
$2.145073$ |
$-46574399618739/347190316781$ |
$0.92792$ |
$4.13978$ |
$[1, -1, 1, -110186, -52423360]$ |
\(y^2+xy+y=x^3-x^2-110186x-52423360\) |
2.3.0.a.1, 174.6.0.?, 924.6.0.?, 8932.6.0.?, 26796.12.0.? |
$[]$ |
140679.g1 |
140679o2 |
140679.g |
140679o |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{3} \cdot 7^{3} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$153600$ |
$0.953333$ |
$226200486357/51375269$ |
$0.87133$ |
$2.97600$ |
$[1, -1, 1, -2666, -40624]$ |
\(y^2+xy+y=x^3-x^2-2666x-40624\) |
2.3.0.a.1, 924.6.0.?, 1218.6.0.?, 1276.6.0.?, 26796.12.0.? |
$[]$ |
140679.g2 |
140679o1 |
140679.g |
140679o |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{3} \cdot 7^{3} \cdot 11^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$76800$ |
$0.606759$ |
$651714363/1119371$ |
$0.94684$ |
$2.53966$ |
$[1, -1, 1, 379, -4084]$ |
\(y^2+xy+y=x^3-x^2+379x-4084\) |
2.3.0.a.1, 462.6.0.?, 1276.6.0.?, 2436.6.0.?, 26796.12.0.? |
$[]$ |
140679.h1 |
140679e1 |
140679.h |
140679e |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{13} \cdot 7^{6} \cdot 11 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$806400$ |
$1.823444$ |
$13132563308857/20231937$ |
$0.92296$ |
$4.08911$ |
$[1, -1, 1, -216761, 38846000]$ |
\(y^2+xy+y=x^3-x^2-216761x+38846000\) |
2.3.0.a.1, 66.6.0.a.1, 116.6.0.?, 3828.12.0.? |
$[]$ |
140679.h2 |
140679e2 |
140679.h |
140679e |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{20} \cdot 7^{6} \cdot 11^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1612800$ |
$2.170017$ |
$-4601630708137/16783438221$ |
$0.94815$ |
$4.16837$ |
$[1, -1, 1, -152816, 62173136]$ |
\(y^2+xy+y=x^3-x^2-152816x+62173136\) |
2.3.0.a.1, 116.6.0.?, 132.6.0.?, 3828.12.0.? |
$[]$ |
140679.i1 |
140679f3 |
140679.i |
140679f |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{7} \cdot 7^{8} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1.435017871$ |
$1$ |
|
$4$ |
$2752512$ |
$2.393436$ |
$71366476613135257/1143673377$ |
$0.92746$ |
$4.81463$ |
$[1, -1, 1, -3810911, 2864374062]$ |
\(y^2+xy+y=x^3-x^2-3810911x+2864374062\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 66.6.0.a.1, 132.12.0.?, $\ldots$ |
$[(1109, 489)]$ |
140679.i2 |
140679f4 |
140679.i |
140679f |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{10} \cdot 7^{14} \cdot 11 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$5.740071486$ |
$1$ |
|
$0$ |
$2752512$ |
$2.393436$ |
$1101438820807417/148956693039$ |
$0.90591$ |
$4.46275$ |
$[1, -1, 1, -948821, -311168154]$ |
\(y^2+xy+y=x^3-x^2-948821x-311168154\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 264.12.0.?, 696.12.0.?, $\ldots$ |
$[(-1573/2, 9669/2)]$ |
140679.i3 |
140679f2 |
140679.i |
140679f |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{8} \cdot 7^{10} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$2.870035743$ |
$1$ |
|
$6$ |
$1376256$ |
$2.046864$ |
$19061979249097/2198953449$ |
$0.87684$ |
$4.12054$ |
$[1, -1, 1, -245426, 41936136]$ |
\(y^2+xy+y=x^3-x^2-245426x+41936136\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 132.12.0.?, 348.12.0.?, 924.24.0.?, $\ldots$ |
$[(11, 6258)]$ |
140679.i4 |
140679f1 |
140679.i |
140679f |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{7} \cdot 7^{8} \cdot 11^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1.435017871$ |
$1$ |
|
$7$ |
$688128$ |
$1.700289$ |
$12600539783/62414583$ |
$0.84977$ |
$3.67353$ |
$[1, -1, 1, 21379, 3302772]$ |
\(y^2+xy+y=x^3-x^2+21379x+3302772\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 174.6.0.?, 264.12.0.?, $\ldots$ |
$[(-40, 1563)]$ |
140679.j1 |
140679h1 |
140679.j |
140679h |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{23} \cdot 7^{4} \cdot 11^{3} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3828$ |
$2$ |
$0$ |
$1.590921253$ |
$1$ |
|
$4$ |
$23892480$ |
$3.437099$ |
$-101538221713343613625/3525570269610968997$ |
$1.03140$ |
$5.44558$ |
$[1, -1, 1, -11713190, 120512630634]$ |
\(y^2+xy+y=x^3-x^2-11713190x+120512630634\) |
3828.2.0.? |
$[(1712, 323913)]$ |
140679.k1 |
140679g1 |
140679.k |
140679g |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{23} \cdot 7^{10} \cdot 11^{3} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3828$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$167247360$ |
$4.410057$ |
$-101538221713343613625/3525570269610968997$ |
$1.03140$ |
$6.43049$ |
$[1, -1, 1, -573946295, -41334684414964]$ |
\(y^2+xy+y=x^3-x^2-573946295x-41334684414964\) |
3828.2.0.? |
$[]$ |
140679.l1 |
140679p1 |
140679.l |
140679p |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{3} \cdot 7^{9} \cdot 11 \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13398$ |
$2$ |
$0$ |
$1.760167161$ |
$1$ |
|
$2$ |
$359424$ |
$1.469208$ |
$-74246873427/92019697$ |
$0.84461$ |
$3.47105$ |
$[1, -1, 1, -12872, -993058]$ |
\(y^2+xy+y=x^3-x^2-12872x-993058\) |
13398.2.0.? |
$[(310, 4818)]$ |
140679.m1 |
140679q2 |
140679.m |
140679q |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{3} \cdot 7^{9} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1075200$ |
$1.926289$ |
$226200486357/51375269$ |
$0.87133$ |
$3.96092$ |
$[1, -1, 1, -130619, 14195178]$ |
\(y^2+xy+y=x^3-x^2-130619x+14195178\) |
2.3.0.a.1, 924.6.0.?, 1218.6.0.?, 1276.6.0.?, 26796.12.0.? |
$[]$ |
140679.m2 |
140679q1 |
140679.m |
140679q |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{3} \cdot 7^{9} \cdot 11^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$537600$ |
$1.579714$ |
$651714363/1119371$ |
$0.94684$ |
$3.52458$ |
$[1, -1, 1, 18586, 1363548]$ |
\(y^2+xy+y=x^3-x^2+18586x+1363548\) |
2.3.0.a.1, 462.6.0.?, 1276.6.0.?, 2436.6.0.?, 26796.12.0.? |
$[]$ |
140679.n1 |
140679j4 |
140679.n |
140679j |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{7} \cdot 7^{7} \cdot 11 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1277952$ |
$2.030869$ |
$215751695207833/163381911$ |
$0.97684$ |
$4.32523$ |
$[1, -1, 1, -551039, -157201432]$ |
\(y^2+xy+y=x^3-x^2-551039x-157201432\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 132.12.0.?, 696.12.0.?, $\ldots$ |
$[]$ |
140679.n2 |
140679j2 |
140679.n |
140679j |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{8} \cdot 7^{8} \cdot 11^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$638976$ |
$1.684294$ |
$93391282153/44876601$ |
$0.95512$ |
$3.67187$ |
$[1, -1, 1, -41684, -1338802]$ |
\(y^2+xy+y=x^3-x^2-41684x-1338802\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 132.12.0.?, 348.12.0.?, 924.24.0.?, $\ldots$ |
$[]$ |
140679.n3 |
140679j1 |
140679.n |
140679j |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{10} \cdot 7^{7} \cdot 11 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$319488$ |
$1.337721$ |
$13430356633/180873$ |
$0.80625$ |
$3.50827$ |
$[1, -1, 1, -21839, 1233110]$ |
\(y^2+xy+y=x^3-x^2-21839x+1233110\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 132.12.0.?, 696.12.0.?, $\ldots$ |
$[]$ |
140679.n4 |
140679j3 |
140679.n |
140679j |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{7} \cdot 7^{10} \cdot 11^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1277952$ |
$2.030869$ |
$4365111505607/3058314567$ |
$0.88834$ |
$3.99619$ |
$[1, -1, 1, 150151, -10316680]$ |
\(y^2+xy+y=x^3-x^2+150151x-10316680\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 174.6.0.?, 264.12.0.?, $\ldots$ |
$[]$ |
140679.o1 |
140679i3 |
140679.o |
140679i |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{18} \cdot 7^{7} \cdot 11 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$7.370439845$ |
$1$ |
|
$0$ |
$2359296$ |
$2.448708$ |
$187519537050946633/1186707753$ |
$0.93261$ |
$4.89612$ |
$[1, -1, 1, -5258714, 4642886000]$ |
\(y^2+xy+y=x^3-x^2-5258714x+4642886000\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 264.12.0.?, 348.12.0.?, $\ldots$ |
$[(5707/2, 46629/2)]$ |
140679.o2 |
140679i2 |
140679.o |
140679i |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{12} \cdot 7^{8} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$3.685219922$ |
$1$ |
|
$4$ |
$1179648$ |
$2.102135$ |
$48455467135993/3635004681$ |
$0.88285$ |
$4.19924$ |
$[1, -1, 1, -334949, 69693068]$ |
\(y^2+xy+y=x^3-x^2-334949x+69693068\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 132.12.0.?, 348.12.0.?, 924.24.0.?, $\ldots$ |
$[(709, 13365)]$ |
140679.o3 |
140679i1 |
140679.o |
140679i |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{9} \cdot 7^{7} \cdot 11^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1.842609961$ |
$1$ |
|
$5$ |
$589824$ |
$1.755560$ |
$408023180713/80247321$ |
$0.84673$ |
$3.79626$ |
$[1, -1, 1, -68144, -5545942]$ |
\(y^2+xy+y=x^3-x^2-68144x-5545942\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 264.12.0.?, 348.12.0.?, $\ldots$ |
$[(-138, 1171)]$ |
140679.o4 |
140679i4 |
140679.o |
140679i |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{9} \cdot 7^{10} \cdot 11 \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$1.842609961$ |
$1$ |
|
$2$ |
$2359296$ |
$2.448708$ |
$42227808999767/504359959257$ |
$0.92634$ |
$4.43881$ |
$[1, -1, 1, 319936, 308595116]$ |
\(y^2+xy+y=x^3-x^2+319936x+308595116\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 132.12.0.?, 696.12.0.?, $\ldots$ |
$[(3285, 190192)]$ |
140679.p1 |
140679k1 |
140679.p |
140679k |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{7} \cdot 7^{11} \cdot 11^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13398$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304000$ |
$2.211517$ |
$-1484391946907017/1946200179$ |
$0.90472$ |
$4.48812$ |
$[1, -1, 1, -1048046, -413175472]$ |
\(y^2+xy+y=x^3-x^2-1048046x-413175472\) |
13398.2.0.? |
$[]$ |
140679.q1 |
140679l2 |
140679.q |
140679l |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{10} \cdot 7^{9} \cdot 11^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$53592$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5963776$ |
$2.588043$ |
$12824406200143/6932061081$ |
$0.93379$ |
$4.57956$ |
$[1, -1, 1, -1505363, 182945004]$ |
\(y^2+xy+y=x^3-x^2-1505363x+182945004\) |
2.3.0.a.1, 4.6.0.e.1, 28.12.0.l.1, 88.12.0.?, 616.24.0.?, $\ldots$ |
$[]$ |
140679.q2 |
140679l1 |
140679.q |
140679l |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{8} \cdot 7^{9} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$53592$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2981888$ |
$2.241470$ |
$178738971137/110817729$ |
$0.90199$ |
$4.21909$ |
$[1, -1, 1, 362272, 22328394]$ |
\(y^2+xy+y=x^3-x^2+362272x+22328394\) |
2.3.0.a.1, 4.6.0.e.1, 14.6.0.b.1, 28.12.0.k.1, 88.12.0.?, $\ldots$ |
$[]$ |
140679.r1 |
140679r1 |
140679.r |
140679r |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{16} \cdot 7^{8} \cdot 11^{2} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2150400$ |
$2.308151$ |
$63868617981952/207202941$ |
$0.92727$ |
$4.55085$ |
$[0, 0, 1, -1343874, 597950442]$ |
\(y^2+y=x^3-1343874x+597950442\) |
58.2.0.a.1 |
$[]$ |
140679.s1 |
140679t1 |
140679.s |
140679t |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{8} \cdot 7^{2} \cdot 11^{4} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$3.386050749$ |
$1$ |
|
$2$ |
$798720$ |
$1.992304$ |
$24412266428268544/2702733592581$ |
$1.02670$ |
$4.06752$ |
$[0, 0, 1, -199038, -30735693]$ |
\(y^2+y=x^3-199038x-30735693\) |
58.2.0.a.1 |
$[(-279, 1754)]$ |
140679.t1 |
140679s1 |
140679.t |
140679s |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{8} \cdot 7^{10} \cdot 11^{2} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$623616$ |
$1.802076$ |
$822083584/31581$ |
$0.92725$ |
$3.92924$ |
$[0, 0, 1, -115248, 14550660]$ |
\(y^2+y=x^3-115248x+14550660\) |
58.2.0.a.1 |
$[]$ |
140679.u1 |
140679u1 |
140679.u |
140679u |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7^{7} \cdot 11^{2} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.625336$ |
$-28094464000/20657483$ |
$0.84860$ |
$3.63971$ |
$[0, 0, 1, -27930, 2707213]$ |
\(y^2+y=x^3-27930x+2707213\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 174.8.0.?, 406.2.0.?, 1218.16.0.? |
$[]$ |
140679.u2 |
140679u2 |
140679.u |
140679u |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7^{9} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$2.174641$ |
$15252992000000/17621717267$ |
$0.97270$ |
$4.10173$ |
$[0, 0, 1, 227850, -41785718]$ |
\(y^2+y=x^3+227850x-41785718\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 174.8.0.?, 406.2.0.?, 1218.16.0.? |
$[]$ |
140679.v1 |
140679w1 |
140679.v |
140679w |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{8} \cdot 7^{8} \cdot 11^{4} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5591040$ |
$2.965260$ |
$24412266428268544/2702733592581$ |
$1.02670$ |
$5.05244$ |
$[0, 0, 1, -9752862, 10542342613]$ |
\(y^2+y=x^3-9752862x+10542342613\) |
58.2.0.a.1 |
$[]$ |
140679.w1 |
140679v1 |
140679.w |
140679v |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{8} \cdot 7^{4} \cdot 11^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$0.782756291$ |
$1$ |
|
$4$ |
$89088$ |
$0.829122$ |
$822083584/31581$ |
$0.92725$ |
$2.94432$ |
$[0, 0, 1, -2352, -42422]$ |
\(y^2+y=x^3-2352x-42422\) |
58.2.0.a.1 |
$[(-28, 38)]$ |
140679.x1 |
140679x1 |
140679.x |
140679x |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{16} \cdot 7^{2} \cdot 11^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$4.066438573$ |
$1$ |
|
$0$ |
$307200$ |
$1.335196$ |
$63868617981952/207202941$ |
$0.92727$ |
$3.56593$ |
$[0, 0, 1, -27426, -1743296]$ |
\(y^2+y=x^3-27426x-1743296\) |
58.2.0.a.1 |
$[(-367/2, 205/2)]$ |
140679.y1 |
140679z3 |
140679.y |
140679z |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{12} \cdot 7^{7} \cdot 11 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$22.72699242$ |
$1$ |
|
$0$ |
$31850496$ |
$3.659309$ |
$72371679832051361738355457/1627857$ |
$1.00712$ |
$6.56398$ |
$[1, -1, 0, -3828719673, 91187020828224]$ |
\(y^2+xy=x^3-x^2-3828719673x+91187020828224\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 168.24.0.?, $\ldots$ |
$[(5858835623215/12806, -38369354000788563/12806)]$ |
140679.y2 |
140679z4 |
140679.y |
140679z |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{30} \cdot 7^{10} \cdot 11 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$22.72699242$ |
$1$ |
|
$0$ |
$31850496$ |
$3.659309$ |
$17825137625614555960417/216318148151991039$ |
$0.98174$ |
$5.86305$ |
$[1, -1, 0, -239998383, 1416044599290]$ |
\(y^2+xy=x^3-x^2-239998383x+1416044599290\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[(532155419503/7334, 37386673749389469/7334)]$ |
140679.y3 |
140679z2 |
140679.y |
140679z |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{18} \cdot 7^{8} \cdot 11^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$11.36349621$ |
$1$ |
|
$2$ |
$15925248$ |
$3.312733$ |
$17668869054438249282097/2649918412449$ |
$0.98151$ |
$5.86231$ |
$[1, -1, 0, -239294988, 1424841960555]$ |
\(y^2+xy=x^3-x^2-239294988x+1424841960555\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 1276.12.0.?, $\ldots$ |
$[(13161439/38, 1400803321/38)]$ |
140679.y4 |
140679z1 |
140679.y |
140679z |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{12} \cdot 7^{7} \cdot 11^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$53592$ |
$48$ |
$0$ |
$5.681748106$ |
$1$ |
|
$1$ |
$7962624$ |
$2.966160$ |
$-4275768267198290017/52843101620463$ |
$0.94825$ |
$5.16168$ |
$[1, -1, 0, -14911983, 22403302704]$ |
\(y^2+xy=x^3-x^2-14911983x+22403302704\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(4887/2, 615159/2)]$ |
140679.z1 |
140679y3 |
140679.z |
140679y |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{6} \cdot 7^{9} \cdot 11^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8257536$ |
$2.909782$ |
$16798320881842096017/2132227789307$ |
$0.97557$ |
$5.27532$ |
$[1, -1, 0, -23529858, 43932670109]$ |
\(y^2+xy=x^3-x^2-23529858x+43932670109\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 168.24.0.?, $\ldots$ |
$[]$ |
140679.z2 |
140679y4 |
140679.z |
140679y |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{6} \cdot 7^{18} \cdot 11^{2} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8257536$ |
$2.909782$ |
$1048626554636928177/48569076788309$ |
$0.99097$ |
$5.04133$ |
$[1, -1, 0, -9334068, -10525526425]$ |
\(y^2+xy=x^3-x^2-9334068x-10525526425\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 58.6.0.a.1, $\ldots$ |
$[]$ |
140679.z3 |
140679y2 |
140679.z |
140679y |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{6} \cdot 7^{12} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2436$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4128768$ |
$2.563210$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.59448$ |
$[1, -1, 0, -1596723, 562088960]$ |
\(y^2+xy=x^3-x^2-1596723x+562088960\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
140679.z4 |
140679y1 |
140679.z |
140679y |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( - 3^{6} \cdot 7^{9} \cdot 11^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.216637$ |
$22062729659823/29354283343$ |
$0.91629$ |
$4.15495$ |
$[1, -1, 0, 257682, 57319919]$ |
\(y^2+xy=x^3-x^2+257682x+57319919\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
140679.ba1 |
140679bb2 |
140679.ba |
140679bb |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{9} \cdot 7^{9} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$26796$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3225600$ |
$2.475594$ |
$226200486357/51375269$ |
$0.87133$ |
$4.51698$ |
$[1, -1, 0, -1175568, -382094245]$ |
\(y^2+xy=x^3-x^2-1175568x-382094245\) |
2.3.0.a.1, 924.6.0.?, 1218.6.0.?, 1276.6.0.?, 26796.12.0.? |
$[]$ |