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 |
201810.a1 |
201810ct1 |
201810.a |
201810ct |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$140$ |
$2$ |
$0$ |
$0.938297326$ |
$1$ |
|
$12$ |
$103680$ |
$0.372142$ |
$2622740089/408240$ |
$[1, 1, 0, -283, 1453]$ |
\(y^2+xy=x^3+x^2-283x+1453\) |
140.2.0.? |
$[(-14, 61), (13, 7)]$ |
201810.b1 |
201810cu1 |
201810.b |
201810cu |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{3} \cdot 7^{3} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$270000$ |
$0.893167$ |
$-84881850169/333396000$ |
$[1, 1, 0, -903, -29547]$ |
\(y^2+xy=x^3+x^2-903x-29547\) |
840.2.0.? |
$[]$ |
201810.c1 |
201810cv1 |
201810.c |
201810cv |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26040$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912000$ |
$2.439453$ |
$-13293525831769/40687500000$ |
$[1, 1, 0, -474273, 315069333]$ |
\(y^2+xy=x^3+x^2-474273x+315069333\) |
26040.2.0.? |
$[]$ |
201810.d1 |
201810cw1 |
201810.d |
201810cw |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{43} \cdot 3^{9} \cdot 5^{7} \cdot 7^{4} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$280869120$ |
$4.151993$ |
$-6581266733051300157783783529/32476057108878458880000000$ |
$[1, 1, 0, -385274018, 8984079629172]$ |
\(y^2+xy=x^3+x^2-385274018x+8984079629172\) |
120.2.0.? |
$[]$ |
201810.e1 |
201810co2 |
201810.e |
201810co |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{7} \cdot 3^{12} \cdot 5 \cdot 7^{4} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$2.474673025$ |
$1$ |
|
$6$ |
$2408448$ |
$1.843054$ |
$2103006527509159/816633498240$ |
$[1, 1, 0, -82743, 5220117]$ |
\(y^2+xy=x^3+x^2-82743x+5220117\) |
2.3.0.a.1, 40.6.0.e.1, 124.6.0.?, 1240.12.0.? |
$[(249, 240)]$ |
201810.e2 |
201810co1 |
201810.e |
201810co |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1.237336512$ |
$1$ |
|
$9$ |
$1204224$ |
$1.496479$ |
$16544338359641/14631321600$ |
$[1, 1, 0, 16457, 597397]$ |
\(y^2+xy=x^3+x^2+16457x+597397\) |
2.3.0.a.1, 40.6.0.e.1, 62.6.0.b.1, 1240.12.0.? |
$[(94, 1681)]$ |
201810.f1 |
201810cp1 |
201810.f |
201810cp |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5208$ |
$12$ |
$0$ |
$8.753161431$ |
$1$ |
|
$3$ |
$6635520$ |
$2.470921$ |
$2308813282982809/6327720000$ |
$[1, 1, 0, -2646133, -1653958163]$ |
\(y^2+xy=x^3+x^2-2646133x-1653958163\) |
2.3.0.a.1, 24.6.0.c.1, 434.6.0.?, 5208.12.0.? |
$[(2774466, 4619965667)]$ |
201810.f2 |
201810cp2 |
201810.f |
201810cp |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5208$ |
$12$ |
$0$ |
$17.50632286$ |
$1$ |
|
$0$ |
$13271040$ |
$2.817493$ |
$-518342813451289/3973134375000$ |
$[1, 1, 0, -1608253, -2963555147]$ |
\(y^2+xy=x^3+x^2-1608253x-2963555147\) |
2.3.0.a.1, 24.6.0.b.1, 868.6.0.?, 5208.12.0.? |
$[(1001582199/19, 31688345364422/19)]$ |
201810.g1 |
201810cq2 |
201810.g |
201810cq |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{6} \cdot 7^{3} \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5208$ |
$16$ |
$0$ |
$19.17962158$ |
$1$ |
|
$0$ |
$210924000$ |
$4.191795$ |
$-146737846222812889/42674688000000$ |
$[1, 1, 0, -1028359873, 15558476847733]$ |
\(y^2+xy=x^3+x^2-1028359873x+15558476847733\) |
3.4.0.a.1, 93.8.0.?, 168.8.0.?, 5208.16.0.? |
$[(2127722989/201, 83972913723418/201)]$ |
201810.g2 |
201810cq1 |
201810.g |
201810cq |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{15} \cdot 5^{2} \cdot 7 \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5208$ |
$16$ |
$0$ |
$57.53886474$ |
$1$ |
|
$0$ |
$70308000$ |
$3.642490$ |
$111065142046871/80353879200$ |
$[1, 1, 0, 93718142, -174627831788]$ |
\(y^2+xy=x^3+x^2+93718142x-174627831788\) |
3.4.0.a.1, 93.8.0.?, 168.8.0.?, 5208.16.0.? |
$[(6644616343702339692830839/44063459793, 36770086716040043990378574555299500054/44063459793)]$ |
201810.h1 |
201810cr1 |
201810.h |
201810cr |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{7} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26040$ |
$2$ |
$0$ |
$1.865718085$ |
$1$ |
|
$2$ |
$5806080$ |
$2.401402$ |
$-1500730351849/27572219640$ |
$[1, 1, 0, -229218, 241624908]$ |
\(y^2+xy=x^3+x^2-229218x+241624908\) |
26040.2.0.? |
$[(-313, 16974)]$ |
201810.i1 |
201810cs1 |
201810.i |
201810cs |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$2.530099018$ |
$1$ |
|
$2$ |
$518400$ |
$1.193598$ |
$-1397480182249/12706092000$ |
$[1, 1, 0, -2298, -174348]$ |
\(y^2+xy=x^3+x^2-2298x-174348\) |
3.4.0.a.1, 93.8.0.?, 120.8.0.?, 3720.16.0.? |
$[(193, 2476)]$ |
201810.i2 |
201810cs2 |
201810.i |
201810cs |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{15} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$7.590297054$ |
$1$ |
|
$0$ |
$1555200$ |
$1.742903$ |
$989469253569191/9408000000000$ |
$[1, 1, 0, 20487, 4441893]$ |
\(y^2+xy=x^3+x^2+20487x+4441893\) |
3.4.0.a.1, 93.8.0.?, 120.8.0.?, 3720.16.0.? |
$[(2437/4, 208591/4)]$ |
201810.j1 |
201810ck1 |
201810.j |
201810ck |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{28} \cdot 3^{10} \cdot 5 \cdot 7^{3} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$140$ |
$2$ |
$0$ |
$3.681322052$ |
$1$ |
|
$2$ |
$8467200$ |
$2.619324$ |
$15567270647479432024441/27184199588904960$ |
$[1, 1, 0, -5133387, 4467762621]$ |
\(y^2+xy=x^3+x^2-5133387x+4467762621\) |
140.2.0.? |
$[(1371, 2352)]$ |
201810.k1 |
201810cl1 |
201810.k |
201810cl |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2 \cdot 3 \cdot 5^{3} \cdot 7^{3} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26040$ |
$2$ |
$0$ |
$2.488521507$ |
$1$ |
|
$0$ |
$1382400$ |
$1.724308$ |
$2294744759/7974750$ |
$[1, 1, 0, 26408, 3706294]$ |
\(y^2+xy=x^3+x^2+26408x+3706294\) |
26040.2.0.? |
$[(267/2, 18953/2)]$ |
201810.l1 |
201810cm2 |
201810.l |
201810cm |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 7 \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8680$ |
$12$ |
$0$ |
$1.930800491$ |
$4$ |
$2$ |
$6$ |
$540672$ |
$1.142294$ |
$5080464498871/37200870$ |
$[1, 1, 0, -11102, -452046]$ |
\(y^2+xy=x^3+x^2-11102x-452046\) |
2.3.0.a.1, 124.6.0.?, 280.6.0.?, 8680.12.0.? |
$[(-65, 48)]$ |
201810.l2 |
201810cm1 |
201810.l |
201810cm |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8680$ |
$12$ |
$0$ |
$0.965400245$ |
$1$ |
|
$9$ |
$270336$ |
$0.795720$ |
$-59776471/3572100$ |
$[1, 1, 0, -252, -15876]$ |
\(y^2+xy=x^3+x^2-252x-15876\) |
2.3.0.a.1, 62.6.0.b.1, 280.6.0.?, 8680.12.0.? |
$[(90, 792)]$ |
201810.m1 |
201810cn1 |
201810.m |
201810cn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{5} \cdot 7^{3} \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$20.14838134$ |
$1$ |
|
$0$ |
$66960000$ |
$3.623581$ |
$-15397206157321/66679200000$ |
$[1, 1, 0, -48504092, -378722278704]$ |
\(y^2+xy=x^3+x^2-48504092x-378722278704\) |
420.2.0.? |
$[(11848697992/839, 1111592549824156/839)]$ |
201810.n1 |
201810ce2 |
201810.n |
201810ce |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 7 \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13020$ |
$16$ |
$0$ |
$1.617763086$ |
$1$ |
|
$6$ |
$7931520$ |
$2.416687$ |
$1490032455664120989539881/504000$ |
$[1, 1, 0, -23481822, 43787362356]$ |
\(y^2+xy=x^3+x^2-23481822x+43787362356\) |
3.4.0.a.1, 93.8.0.?, 140.2.0.?, 420.8.0.?, 13020.16.0.? |
$[(2796, -1278), (44757/4, -89529/4)]$ |
201810.n2 |
201810ce1 |
201810.n |
201810ce |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 7^{3} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13020$ |
$16$ |
$0$ |
$0.179751454$ |
$1$ |
|
$24$ |
$2643840$ |
$1.867378$ |
$2805165723497909881/1953492187500$ |
$[1, 1, 0, -289947, 59936481]$ |
\(y^2+xy=x^3+x^2-289947x+59936481\) |
3.4.0.a.1, 93.8.0.?, 140.2.0.?, 420.8.0.?, 13020.16.0.? |
$[(192, 3279), (327, 309)]$ |
201810.o1 |
201810cf1 |
201810.o |
201810cf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5 \cdot 7^{3} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$0.672582190$ |
$1$ |
|
$4$ |
$2232000$ |
$1.997343$ |
$-1853070601/82320$ |
$[1, 1, 0, -242672, 47645136]$ |
\(y^2+xy=x^3+x^2-242672x+47645136\) |
420.2.0.? |
$[(400, 3644)]$ |
201810.p1 |
201810cg7 |
201810.p |
201810cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{4} \cdot 7^{3} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$34836480$ |
$3.219257$ |
$4791901410190533590281/41160000$ |
$[1, 1, 0, -337534452, 2386710180624]$ |
\(y^2+xy=x^3+x^2-337534452x+2386710180624\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
201810.p2 |
201810cg6 |
201810.p |
201810cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$13020$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$17418240$ |
$2.872684$ |
$1169975873419524361/108425318400$ |
$[1, 1, 0, -21096372, 37284011856]$ |
\(y^2+xy=x^3+x^2-21096372x+37284011856\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 20.12.0.a.1, $\ldots$ |
$[]$ |
201810.p3 |
201810cg8 |
201810.p |
201810cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 5 \cdot 7^{12} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$34836480$ |
$3.219257$ |
$-932348627918877961/358766164249920$ |
$[1, 1, 0, -19558772, 42951297936]$ |
\(y^2+xy=x^3+x^2-19558772x+42951297936\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
201810.p4 |
201810cg4 |
201810.p |
201810cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 7 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$11612160$ |
$2.669952$ |
$9150443179640281/184570312500$ |
$[1, 1, 0, -4187577, 3238581249]$ |
\(y^2+xy=x^3+x^2-4187577x+3238581249\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[]$ |
201810.p5 |
201810cg3 |
201810.p |
201810cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{24} \cdot 3 \cdot 5 \cdot 7^{3} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8709120$ |
$2.526112$ |
$353108405631241/86318776320$ |
$[1, 1, 0, -1415092, 491827024]$ |
\(y^2+xy=x^3+x^2-1415092x+491827024\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
201810.p6 |
201810cg2 |
201810.p |
201810cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$13020$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$5806080$ |
$2.323380$ |
$21302308926361/8930250000$ |
$[1, 1, 0, -554997, -83776419]$ |
\(y^2+xy=x^3+x^2-554997x-83776419\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 20.12.0.a.1, $\ldots$ |
$[]$ |
201810.p7 |
201810cg1 |
201810.p |
201810cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2903040$ |
$1.976805$ |
$13619385906841/6048000$ |
$[1, 1, 0, -478117, -127398131]$ |
\(y^2+xy=x^3+x^2-478117x-127398131\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
201810.p8 |
201810cg5 |
201810.p |
201810cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 7^{4} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$11612160$ |
$2.669952$ |
$785793873833639/637994920500$ |
$[1, 1, 0, 1847503, -612806919]$ |
\(y^2+xy=x^3+x^2+1847503x-612806919\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
201810.q1 |
201810ch1 |
201810.q |
201810ch |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$1.939545$ |
$-6435893935801/5859000$ |
$[1, 1, 0, -372407, -87697299]$ |
\(y^2+xy=x^3+x^2-372407x-87697299\) |
3.4.0.a.1, 93.8.0.?, 840.8.0.?, 26040.16.0.? |
$[]$ |
201810.q2 |
201810ch2 |
201810.q |
201810ch |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5 \cdot 7^{3} \cdot 31^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7464960$ |
$2.488850$ |
$9259677062999/78476643840$ |
$[1, 1, 0, 420418, -387399564]$ |
\(y^2+xy=x^3+x^2+420418x-387399564\) |
3.4.0.a.1, 93.8.0.?, 840.8.0.?, 26040.16.0.? |
$[]$ |
201810.r1 |
201810ci4 |
201810.r |
201810ci |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7^{3} \cdot 31^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$39813120$ |
$3.372028$ |
$34144696869398652601/986300590768920$ |
$[1, 1, 0, -64951607, 196360614621]$ |
\(y^2+xy=x^3+x^2-64951607x+196360614621\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 93.8.0.?, $\ldots$ |
$[]$ |
201810.r2 |
201810ci2 |
201810.r |
201810ci |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{3} \cdot 7 \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13271040$ |
$2.822723$ |
$76983121960756201/893750901750$ |
$[1, 1, 0, -8516882, -9473952474]$ |
\(y^2+xy=x^3+x^2-8516882x-9473952474\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 93.8.0.?, $\ldots$ |
$[]$ |
201810.r3 |
201810ci1 |
201810.r |
201810ci |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$2.476151$ |
$-157551496201/69209437500$ |
$[1, 1, 0, -108132, -377366724]$ |
\(y^2+xy=x^3+x^2-108132x-377366724\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 62.6.0.b.1, 93.8.0.?, $\ldots$ |
$[]$ |
201810.r4 |
201810ci3 |
201810.r |
201810ci |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$26040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$19906560$ |
$3.025455$ |
$114784170265799/50470291569600$ |
$[1, 1, 0, 972993, 10176359301]$ |
\(y^2+xy=x^3+x^2+972993x+10176359301\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 62.6.0.b.1, 93.8.0.?, $\ldots$ |
$[]$ |
201810.s1 |
201810cj1 |
201810.s |
201810cj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{7} \cdot 7 \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$140$ |
$2$ |
$0$ |
$4.544790010$ |
$1$ |
|
$2$ |
$843696000$ |
$4.799393$ |
$335671464244128829789081/55540601303040000000$ |
$[1, 1, 0, -13730765617, -523322438628779]$ |
\(y^2+xy=x^3+x^2-13730765617x-523322438628779\) |
140.2.0.? |
$[(20236177, 91020066349)]$ |
201810.t1 |
201810by1 |
201810.t |
201810by |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{43} \cdot 3^{9} \cdot 5^{7} \cdot 7^{4} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8706942720$ |
$5.868988$ |
$-6581266733051300157783783529/32476057108878458880000000$ |
$[1, 0, 1, -370248331799, -267649529460974278]$ |
\(y^2+xy+y=x^3-370248331799x-267649529460974278\) |
120.2.0.? |
$[]$ |
201810.u1 |
201810bz1 |
201810.u |
201810bz |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5 \cdot 7 \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26040$ |
$2$ |
$0$ |
$1.352683667$ |
$1$ |
|
$4$ |
$4515840$ |
$2.325237$ |
$-74985951512809/4560704190$ |
$[1, 0, 1, -844259, 313808276]$ |
\(y^2+xy+y=x^3-844259x+313808276\) |
26040.2.0.? |
$[(576, 4036)]$ |
201810.v1 |
201810ca1 |
201810.v |
201810ca |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{3} \cdot 7^{3} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$840$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8370000$ |
$2.610161$ |
$-84881850169/333396000$ |
$[1, 0, 1, -868284, 868949146]$ |
\(y^2+xy+y=x^3-868284x+868949146\) |
840.2.0.? |
$[]$ |
201810.w1 |
201810cb4 |
201810.w |
201810cb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2 \cdot 3^{4} \cdot 5 \cdot 7 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26040$ |
$48$ |
$0$ |
$9.409839071$ |
$1$ |
|
$0$ |
$1843200$ |
$1.730577$ |
$5763259856089/5670$ |
$[1, 0, 1, -358954, -82806034]$ |
\(y^2+xy+y=x^3-358954x-82806034\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 248.12.0.?, 280.12.0.?, $\ldots$ |
$[(9094/3, 640174/3)]$ |
201810.w2 |
201810cb2 |
201810.w |
201810cb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26040$ |
$48$ |
$0$ |
$4.704919535$ |
$1$ |
|
$4$ |
$921600$ |
$1.384003$ |
$1439069689/44100$ |
$[1, 0, 1, -22604, -1274794]$ |
\(y^2+xy+y=x^3-22604x-1274794\) |
2.6.0.a.1, 24.12.0.a.1, 248.12.0.?, 280.12.0.?, 372.12.0.?, $\ldots$ |
$[(263, 3183)]$ |
201810.w3 |
201810cb1 |
201810.w |
201810cb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26040$ |
$48$ |
$0$ |
$9.409839071$ |
$1$ |
|
$1$ |
$460800$ |
$1.037430$ |
$4826809/1680$ |
$[1, 0, 1, -3384, 47542]$ |
\(y^2+xy+y=x^3-3384x+47542\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 210.6.0.?, 248.12.0.?, $\ldots$ |
$[(20245/17, 1762903/17)]$ |
201810.w4 |
201810cb3 |
201810.w |
201810cb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2 \cdot 3 \cdot 5^{4} \cdot 7^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26040$ |
$48$ |
$0$ |
$9.409839071$ |
$1$ |
|
$0$ |
$1843200$ |
$1.730577$ |
$30080231/9003750$ |
$[1, 0, 1, 6226, -4296178]$ |
\(y^2+xy+y=x^3+6226x-4296178\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 248.12.0.?, 280.12.0.?, $\ldots$ |
$[(41564/13, 7379373/13)]$ |
201810.x1 |
201810cc3 |
201810.x |
201810cc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{4} \cdot 7^{4} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26040$ |
$48$ |
$0$ |
$12.79986881$ |
$1$ |
|
$0$ |
$8847360$ |
$2.463482$ |
$7043549569215769/1116465000$ |
$[1, 0, 1, -3837774, 2893074616]$ |
\(y^2+xy+y=x^3-3837774x+2893074616\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 248.12.0.?, 280.12.0.?, $\ldots$ |
$[(2026042/23, 2539800271/23)]$ |
201810.x2 |
201810cc4 |
201810.x |
201810cc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 31^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26040$ |
$48$ |
$0$ |
$12.79986881$ |
$1$ |
|
$0$ |
$8847360$ |
$2.463482$ |
$518342813451289/20945456280$ |
$[1, 0, 1, -1608254, -757249288]$ |
\(y^2+xy+y=x^3-1608254x-757249288\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 248.12.0.?, 280.12.0.?, $\ldots$ |
$[(303268/9, 154492003/9)]$ |
201810.x3 |
201810cc2 |
201810.x |
201810cc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26040$ |
$48$ |
$0$ |
$6.399934405$ |
$1$ |
|
$4$ |
$4423680$ |
$2.116909$ |
$2263054145689/678081600$ |
$[1, 0, 1, -262854, 35998552]$ |
\(y^2+xy+y=x^3-262854x+35998552\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 248.12.0.?, 280.12.0.?, 744.24.0.?, $\ldots$ |
$[(3661, 217589)]$ |
201810.x4 |
201810cc1 |
201810.x |
201810cc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5 \cdot 7 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26040$ |
$48$ |
$0$ |
$12.79986881$ |
$1$ |
|
$1$ |
$2211840$ |
$1.770336$ |
$11104492391/13332480$ |
$[1, 0, 1, 44666, 3770456]$ |
\(y^2+xy+y=x^3+44666x+3770456\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 248.12.0.?, 280.12.0.?, $\ldots$ |
$[(2531661/53, 4080911201/53)]$ |
201810.y1 |
201810cd1 |
201810.y |
201810cd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$140$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3214080$ |
$2.089134$ |
$2622740089/408240$ |
$[1, 0, 1, -272464, -46826194]$ |
\(y^2+xy+y=x^3-272464x-46826194\) |
140.2.0.? |
$[]$ |
201810.z1 |
201810bv1 |
201810.z |
201810bv |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 31^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$8.724245588$ |
$1$ |
|
$2$ |
$16070400$ |
$2.910591$ |
$-1397480182249/12706092000$ |
$[1, 0, 1, -2208879, 5165288002]$ |
\(y^2+xy+y=x^3-2208879x+5165288002\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[(47333/4, 9927573/4)]$ |
201810.z2 |
201810bv2 |
201810.z |
201810bv |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( - 2^{15} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$26.17273676$ |
$1$ |
|
$0$ |
$48211200$ |
$3.459896$ |
$989469253569191/9408000000000$ |
$[1, 0, 1, 19687506, -132072494624]$ |
\(y^2+xy+y=x^3+19687506x-132072494624\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[(295916201605/8772, 14047318580429671/8772)]$ |