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 |
271950.a1 |
271950a1 |
271950.a |
271950a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$7.961156902$ |
$1$ |
|
$2$ |
$33546240$ |
$2.946434$ |
$-8003847033025/13099548672$ |
$0.93210$ |
$4.70082$ |
$[1, 1, 0, -4364700, -6868926000]$ |
\(y^2+xy=x^3+x^2-4364700x-6868926000\) |
148.2.0.? |
$[(3549, 147750)]$ |
271950.b1 |
271950b1 |
271950.b |
271950b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{7} \cdot 7^{9} \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$4.296257116$ |
$1$ |
|
$8$ |
$2709504$ |
$1.742285$ |
$12649337/13320$ |
$0.78797$ |
$3.47811$ |
$[1, 1, 0, 41625, -2941875]$ |
\(y^2+xy=x^3+x^2+41625x-2941875\) |
10360.2.0.? |
$[(69, 480), (755, 21060)]$ |
271950.c1 |
271950c1 |
271950.c |
271950c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 7^{4} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$1.382191$ |
$-26721587137/1150848$ |
$0.92282$ |
$3.31811$ |
$[1, 1, 0, -20850, 1192500]$ |
\(y^2+xy=x^3+x^2-20850x+1192500\) |
888.2.0.? |
$[]$ |
271950.d1 |
271950d1 |
271950.d |
271950d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$8.792084462$ |
$1$ |
|
$0$ |
$2661120$ |
$1.857569$ |
$-243087455521/5328000$ |
$1.07121$ |
$3.80281$ |
$[1, 1, 0, -159275, -24991875]$ |
\(y^2+xy=x^3+x^2-159275x-24991875\) |
1480.2.0.? |
$[(56075/2, 13217725/2)]$ |
271950.e1 |
271950e1 |
271950.e |
271950e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3^{13} \cdot 5^{9} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20127744$ |
$2.909355$ |
$1768981696093969/29494975500$ |
$1.10882$ |
$4.82149$ |
$[1, 1, 0, -11294525, 14393282625]$ |
\(y^2+xy=x^3+x^2-11294525x+14393282625\) |
2220.2.0.? |
$[]$ |
271950.f1 |
271950f1 |
271950.f |
271950f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{8} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2220$ |
$2$ |
$0$ |
$2.251539098$ |
$1$ |
|
$0$ |
$3207168$ |
$1.976219$ |
$106058289517485361/194507520$ |
$0.95667$ |
$4.21559$ |
$[1, 1, 0, -902150, -330187500]$ |
\(y^2+xy=x^3+x^2-902150x-330187500\) |
2220.2.0.? |
$[(-26900/7, 86750/7)]$ |
271950.g1 |
271950g1 |
271950.g |
271950g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{6} \cdot 7^{7} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6216$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8064000$ |
$2.299038$ |
$-7347774183121/2757144096$ |
$0.93306$ |
$4.11219$ |
$[1, 1, 0, -496150, 172496500]$ |
\(y^2+xy=x^3+x^2-496150x+172496500\) |
6216.2.0.? |
$[]$ |
271950.h1 |
271950h2 |
271950.h |
271950h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 7^{16} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$3.846470289$ |
$1$ |
|
$2$ |
$39813120$ |
$3.102551$ |
$94162220003958625/54181012560192$ |
$1.04683$ |
$4.82811$ |
$[1, 1, 0, -11610575, 1145569125]$ |
\(y^2+xy=x^3+x^2-11610575x+1145569125\) |
2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.? |
$[(-3445, 18260)]$ |
271950.h2 |
271950h1 |
271950.h |
271950h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7^{11} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1.923235144$ |
$1$ |
|
$5$ |
$19906560$ |
$2.755978$ |
$1457309849609375/848195776512$ |
$1.13949$ |
$4.49499$ |
$[1, 1, 0, 2893425, 144793125]$ |
\(y^2+xy=x^3+x^2+2893425x+144793125\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[(1525, 89275)]$ |
271950.i1 |
271950i1 |
271950.i |
271950i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 37^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$2.442530422$ |
$1$ |
|
$2$ |
$9434880$ |
$2.481743$ |
$66826743615625/10930106952$ |
$0.99514$ |
$4.30245$ |
$[1, 1, 0, -1296075, 480482325]$ |
\(y^2+xy=x^3+x^2-1296075x+480482325\) |
8.2.0.b.1 |
$[(381, 6303)]$ |
271950.j1 |
271950j1 |
271950.j |
271950j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{9} \cdot 7^{7} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$3.241387497$ |
$1$ |
|
$2$ |
$14929920$ |
$2.759098$ |
$64148915349791/978796224000$ |
$0.94594$ |
$4.50380$ |
$[1, 1, 0, 1021625, 2002187125]$ |
\(y^2+xy=x^3+x^2+1021625x+2002187125\) |
10360.2.0.? |
$[(-935, 15655)]$ |
271950.k1 |
271950k1 |
271950.k |
271950k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{9} \cdot 7^{11} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11612160$ |
$2.606705$ |
$-548166867106321/89547696000$ |
$0.91496$ |
$4.43672$ |
$[1, 1, 0, -2088650, -1316515500]$ |
\(y^2+xy=x^3+x^2-2088650x-1316515500\) |
10360.2.0.? |
$[]$ |
271950.l1 |
271950l1 |
271950.l |
271950l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{7} \cdot 3^{21} \cdot 5^{6} \cdot 7^{4} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20321280$ |
$2.790131$ |
$-125184130653528625/49540232769408$ |
$1.01970$ |
$4.58149$ |
$[1, 1, 0, -3488825, -3256198875]$ |
\(y^2+xy=x^3+x^2-3488825x-3256198875\) |
888.2.0.? |
$[]$ |
271950.m1 |
271950m1 |
271950.m |
271950m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{13} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$898560$ |
$1.320848$ |
$-7319748625/73654272$ |
$1.01939$ |
$3.13057$ |
$[1, 1, 0, -3700, 370000]$ |
\(y^2+xy=x^3+x^2-3700x+370000\) |
888.2.0.? |
$[]$ |
271950.n1 |
271950n1 |
271950.n |
271950n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{25} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6451200$ |
$2.246498$ |
$-11828855157217/5098897932288$ |
$1.04629$ |
$4.01687$ |
$[1, 1, 0, -43425, 95107125]$ |
\(y^2+xy=x^3+x^2-43425x+95107125\) |
888.2.0.? |
$[]$ |
271950.o1 |
271950o1 |
271950.o |
271950o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{3} \cdot 3 \cdot 5^{6} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1612800$ |
$1.493639$ |
$-105484561/888$ |
$0.83650$ |
$3.49326$ |
$[1, 1, 0, -44125, 3575125]$ |
\(y^2+xy=x^3+x^2-44125x+3575125\) |
888.2.0.? |
$[]$ |
271950.p1 |
271950p1 |
271950.p |
271950p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7^{9} \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3108$ |
$16$ |
$0$ |
$4.925103524$ |
$1$ |
|
$8$ |
$1824768$ |
$1.494337$ |
$-3700897225/5482512$ |
$0.98135$ |
$3.30964$ |
$[1, 1, 0, -13500, -1144800]$ |
\(y^2+xy=x^3+x^2-13500x-1144800\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 444.8.0.?, 3108.16.0.? |
$[(181, 1453), (524, 11400)]$ |
271950.p2 |
271950p2 |
271950.p |
271950p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3 \cdot 5^{4} \cdot 7^{7} \cdot 37^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3108$ |
$16$ |
$0$ |
$0.547233724$ |
$1$ |
|
$14$ |
$5474304$ |
$2.043644$ |
$2294872120775/4356968448$ |
$0.92611$ |
$3.78790$ |
$[1, 1, 0, 115125, 22753725]$ |
\(y^2+xy=x^3+x^2+115125x+22753725\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 444.8.0.?, 3108.16.0.? |
$[(475, 13360), (230, 7725)]$ |
271950.q1 |
271950q1 |
271950.q |
271950q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 7^{9} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15540$ |
$2$ |
$0$ |
$2.390894881$ |
$1$ |
|
$2$ |
$1290240$ |
$1.549768$ |
$-178453547/143856$ |
$0.92413$ |
$3.37350$ |
$[1, 1, 0, -20115, -1707075]$ |
\(y^2+xy=x^3+x^2-20115x-1707075\) |
15540.2.0.? |
$[(314, 4645)]$ |
271950.r1 |
271950r1 |
271950.r |
271950r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{7} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1612800$ |
$1.521633$ |
$4525790192161/414305280$ |
$0.89644$ |
$3.41149$ |
$[1, 1, 0, -31525, -1989875]$ |
\(y^2+xy=x^3+x^2-31525x-1989875\) |
2220.2.0.? |
$[]$ |
271950.s1 |
271950s1 |
271950.s |
271950s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2 \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$3.714777302$ |
$1$ |
|
$2$ |
$309120$ |
$0.820074$ |
$-105484561/161838$ |
$1.01257$ |
$2.66256$ |
$[1, 1, 0, -900, -20250]$ |
\(y^2+xy=x^3+x^2-900x-20250\) |
888.2.0.? |
$[(185, 2395)]$ |
271950.t1 |
271950t1 |
271950.t |
271950t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{2} \cdot 3^{11} \cdot 5^{7} \cdot 7^{7} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15540$ |
$2$ |
$0$ |
$1.959589691$ |
$1$ |
|
$2$ |
$4055040$ |
$2.186661$ |
$1509398240111/917621460$ |
$0.91107$ |
$3.94576$ |
$[1, 1, 0, 292750, -13581000]$ |
\(y^2+xy=x^3+x^2+292750x-13581000\) |
15540.2.0.? |
$[(90, 3630)]$ |
271950.u1 |
271950u1 |
271950.u |
271950u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{19} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2495232$ |
$1.799488$ |
$-85692190673761/13094092800$ |
$0.91908$ |
$3.66524$ |
$[1, 1, 0, -84025, 10505125]$ |
\(y^2+xy=x^3+x^2-84025x+10505125\) |
888.2.0.? |
$[]$ |
271950.v1 |
271950v1 |
271950.v |
271950v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{11} \cdot 7^{9} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$6.798302431$ |
$1$ |
|
$2$ |
$47523840$ |
$3.114681$ |
$-450564977166247/136396800000$ |
$0.94076$ |
$4.90132$ |
$[1, 1, 0, -13695525, -24081541875]$ |
\(y^2+xy=x^3+x^2-13695525x-24081541875\) |
10360.2.0.? |
$[(26529, 4262745)]$ |
271950.w1 |
271950w1 |
271950.w |
271950w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{3} \cdot 3 \cdot 5^{8} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$4.737882992$ |
$1$ |
|
$0$ |
$777600$ |
$1.350956$ |
$9765625/888$ |
$1.07483$ |
$3.24815$ |
$[1, 1, 0, -15950, -718500]$ |
\(y^2+xy=x^3+x^2-15950x-718500\) |
888.2.0.? |
$[(-779/3, 5260/3)]$ |
271950.x1 |
271950x1 |
271950.x |
271950x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{2} \cdot 7^{14} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$90316800$ |
$3.690308$ |
$524913777953812394386465/12433951920100652928$ |
$1.01303$ |
$5.55501$ |
$[1, 1, 0, -240785780, -1408477658160]$ |
\(y^2+xy=x^3+x^2-240785780x-1408477658160\) |
888.2.0.? |
$[]$ |
271950.y1 |
271950y2 |
271950.y |
271950y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{5} \cdot 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$5.706034998$ |
$1$ |
|
$0$ |
$22118400$ |
$2.962662$ |
$1045706191321645729/323352324000$ |
$0.99768$ |
$5.02049$ |
$[1, 1, 0, -25903875, 50720878125]$ |
\(y^2+xy=x^3+x^2-25903875x+50720878125\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[(16495/2, 931655/2)]$ |
271950.y2 |
271950y1 |
271950.y |
271950y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{12} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$2.853017499$ |
$1$ |
|
$3$ |
$11059200$ |
$2.616089$ |
$-166456688365729/143856000000$ |
$0.96842$ |
$4.39462$ |
$[1, 1, 0, -1403875, 1010378125]$ |
\(y^2+xy=x^3+x^2-1403875x+1010378125\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[(3030, 155285)]$ |
271950.z1 |
271950z1 |
271950.z |
271950z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{8} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$7.588789544$ |
$1$ |
|
$2$ |
$18662400$ |
$2.984661$ |
$137868581419655/572735619072$ |
$1.00032$ |
$4.70931$ |
$[1, 1, 0, 3855050, 7243196500]$ |
\(y^2+xy=x^3+x^2+3855050x+7243196500\) |
148.2.0.? |
$[(29449, 5050975)]$ |
271950.ba1 |
271950ba2 |
271950.ba |
271950ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1.937457600$ |
$1$ |
|
$18$ |
$1327104$ |
$1.404001$ |
$132261232375/15968016$ |
$0.92787$ |
$3.28468$ |
$[1, 1, 0, -18575, 859125]$ |
\(y^2+xy=x^3+x^2-18575x+859125\) |
2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.? |
$[(34, 501), (146, 1061)]$ |
271950.ba2 |
271950ba1 |
271950.ba |
271950ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$7.749830401$ |
$1$ |
|
$11$ |
$663552$ |
$1.057428$ |
$1976656375/255744$ |
$0.88866$ |
$2.94877$ |
$[1, 1, 0, -4575, -106875]$ |
\(y^2+xy=x^3+x^2-4575x-106875\) |
2.3.0.a.1, 28.6.0.b.1, 444.6.0.?, 1554.6.0.?, 3108.12.0.? |
$[(-34, 121), (94, 505)]$ |
271950.bb1 |
271950bb1 |
271950.bb |
271950bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2220$ |
$2$ |
$0$ |
$1.746396137$ |
$1$ |
|
$10$ |
$822528$ |
$1.277094$ |
$2891007984893/16367616$ |
$0.93274$ |
$3.30083$ |
$[1, 1, 0, -19870, -1081100]$ |
\(y^2+xy=x^3+x^2-19870x-1081100\) |
2220.2.0.? |
$[(300, 4330), (-84, -22)]$ |
271950.bc1 |
271950bc1 |
271950.bc |
271950bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{12} \cdot 7^{8} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$83462400$ |
$3.662296$ |
$1089031338949319759/936143419500000$ |
$0.98519$ |
$5.33475$ |
$[1, 1, 0, 96081625, -252518512875]$ |
\(y^2+xy=x^3+x^2+96081625x-252518512875\) |
888.2.0.? |
$[]$ |
271950.bd1 |
271950bd1 |
271950.bd |
271950bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{9} \cdot 7^{7} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15540$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$162570240$ |
$3.985676$ |
$3713102264066983114319/2174129434036224000$ |
$1.03224$ |
$5.67379$ |
$[1, 1, 0, 395191100, -328228958000]$ |
\(y^2+xy=x^3+x^2+395191100x-328228958000\) |
15540.2.0.? |
$[]$ |
271950.be1 |
271950be2 |
271950.be |
271950be |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{10} \cdot 7^{9} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$272498688$ |
$4.098930$ |
$58389789169255064704903/621457920000$ |
$1.01455$ |
$6.36049$ |
$[1, 1, 0, -6930616375, -222081073152875]$ |
\(y^2+xy=x^3+x^2-6930616375x-222081073152875\) |
2.3.0.a.1, 28.6.0.c.1, 148.6.0.?, 1036.12.0.? |
$[]$ |
271950.be2 |
271950be1 |
271950.be |
271950be |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{24} \cdot 3^{4} \cdot 5^{8} \cdot 7^{9} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$136249344$ |
$3.752361$ |
$-14221861969864791943/46510217625600$ |
$0.98587$ |
$5.69605$ |
$[1, 1, 0, -432824375, -3475856896875]$ |
\(y^2+xy=x^3+x^2-432824375x-3475856896875\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[]$ |
271950.bf1 |
271950bf1 |
271950.bf |
271950bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2 \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$0.891948$ |
$198259105/97902$ |
$0.81706$ |
$2.71705$ |
$[1, 1, 0, -1740, -11430]$ |
\(y^2+xy=x^3+x^2-1740x-11430\) |
888.2.0.? |
$[]$ |
271950.bg1 |
271950bg2 |
271950.bg |
271950bg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2 \cdot 3^{2} \cdot 5^{9} \cdot 7^{3} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$2.068265097$ |
$1$ |
|
$4$ |
$2211840$ |
$1.840033$ |
$98547108659/33734898$ |
$0.90967$ |
$3.64702$ |
$[1, 1, 0, -84200, 5975250]$ |
\(y^2+xy=x^3+x^2-84200x+5975250\) |
2.3.0.a.1, 24.6.0.i.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(21, 2043)]$ |
271950.bg2 |
271950bg1 |
271950.bg |
271950bg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3 \cdot 5^{9} \cdot 7^{3} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.034132548$ |
$1$ |
|
$7$ |
$1105920$ |
$1.493458$ |
$70906537619/16428$ |
$0.89229$ |
$3.62071$ |
$[1, 1, 0, -75450, 7944000]$ |
\(y^2+xy=x^3+x^2-75450x+7944000\) |
2.3.0.a.1, 24.6.0.i.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[(35, 2295)]$ |
271950.bh1 |
271950bh4 |
271950.bh |
271950bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2 \cdot 3 \cdot 5^{7} \cdot 7^{14} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$11796480$ |
$2.642220$ |
$23531588875176481/6398929110$ |
$0.93374$ |
$4.71729$ |
$[1, 1, 0, -7313275, -7613560625]$ |
\(y^2+xy=x^3+x^2-7313275x-7613560625\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.1, 280.24.0.?, $\ldots$ |
$[]$ |
271950.bh2 |
271950bh3 |
271950.bh |
271950bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2 \cdot 3^{4} \cdot 5^{7} \cdot 7^{8} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11796480$ |
$2.642220$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.54169$ |
$[1, 1, 0, -3515775, 2472721875]$ |
\(y^2+xy=x^3+x^2-3515775x+2472721875\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 56.12.0-4.c.1.2, 140.12.0.?, $\ldots$ |
$[]$ |
271950.bh3 |
271950bh2 |
271950.bh |
271950bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5898240$ |
$2.295647$ |
$8194759433281/2958272100$ |
$0.89433$ |
$4.08096$ |
$[1, 1, 0, -514525, -87344375]$ |
\(y^2+xy=x^3+x^2-514525x-87344375\) |
2.6.0.a.1, 40.12.0.a.1, 56.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
271950.bh4 |
271950bh1 |
271950.bh |
271950bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3 \cdot 5^{10} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.949072$ |
$56578878719/54390000$ |
$0.85988$ |
$3.68334$ |
$[1, 1, 0, 97975, -9556875]$ |
\(y^2+xy=x^3+x^2+97975x-9556875\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.4, 140.12.0.?, $\ldots$ |
$[]$ |
271950.bi1 |
271950bi1 |
271950.bi |
271950bi |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{4} \cdot 7^{13} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35223552$ |
$2.953815$ |
$41158354945175975/249369558294528$ |
$0.99304$ |
$4.68439$ |
$[1, 1, 0, 3013475, 6197302525]$ |
\(y^2+xy=x^3+x^2+3013475x+6197302525\) |
168.2.0.? |
$[]$ |
271950.bj1 |
271950bj1 |
271950.bj |
271950bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{41} \cdot 3 \cdot 5^{10} \cdot 7^{10} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$342526464$ |
$4.412971$ |
$263618634987871768031/152557238353920000$ |
$1.17687$ |
$6.08443$ |
$[1, 1, 0, 2191211375, -39254832875]$ |
\(y^2+xy=x^3+x^2+2191211375x-39254832875\) |
888.2.0.? |
$[]$ |
271950.bk1 |
271950bk1 |
271950.bk |
271950bk |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{29} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$143236800$ |
$3.794746$ |
$-49008900562345883761/1607393121140736$ |
$1.01986$ |
$5.64337$ |
$[1, 1, 0, -341757875, -2499892585875]$ |
\(y^2+xy=x^3+x^2-341757875x-2499892585875\) |
24.2.0.b.1 |
$[]$ |
271950.bl1 |
271950bl1 |
271950.bl |
271950bl |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2 \cdot 3^{11} \cdot 5^{6} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$11.54985097$ |
$1$ |
|
$0$ |
$2090880$ |
$1.823606$ |
$541343375/13108878$ |
$0.99284$ |
$3.60825$ |
$[1, 1, 0, 20800, -7370250]$ |
\(y^2+xy=x^3+x^2+20800x-7370250\) |
888.2.0.? |
$[(431155/26, 280974585/26)]$ |
271950.bm1 |
271950bm1 |
271950.bm |
271950bm |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{23} \cdot 3 \cdot 5^{6} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11128320$ |
$2.588089$ |
$-21142304724625/931135488$ |
$1.08244$ |
$4.47358$ |
$[1, 1, 0, -2582325, 1655806125]$ |
\(y^2+xy=x^3+x^2-2582325x+1655806125\) |
888.2.0.? |
$[]$ |
271950.bn1 |
271950bn1 |
271950.bn |
271950bn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3421440$ |
$2.026997$ |
$-71581931663761/199800$ |
$0.94955$ |
$4.25417$ |
$[1, 1, 0, -1059650, 419407500]$ |
\(y^2+xy=x^3+x^2-1059650x+419407500\) |
888.2.0.? |
$[]$ |
271950.bo1 |
271950bo1 |
271950.bo |
271950bo |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 7^{3} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3108$ |
$2$ |
$0$ |
$3.485606153$ |
$1$ |
|
$4$ |
$1228800$ |
$1.469238$ |
$3657163505/2301696$ |
$0.89924$ |
$3.25517$ |
$[1, 1, 0, 16425, -232875]$ |
\(y^2+xy=x^3+x^2+16425x-232875\) |
3108.2.0.? |
$[(14, 1)]$ |