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 |
225318.a1 |
225318bf1 |
225318.a |
225318bf |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 17 \cdot 47^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3196$ |
$12$ |
$0$ |
$7.088559332$ |
$1$ |
|
$1$ |
$5935104$ |
$2.274696$ |
$826614141625/438018192$ |
$[1, 1, 0, -431905, 31548901]$ |
\(y^2+xy=x^3+x^2-431905x+31548901\) |
2.3.0.a.1, 34.6.0.a.1, 188.6.0.?, 3196.12.0.? |
$[(496714/19, 305424817/19)]$ |
225318.a2 |
225318bf2 |
225318.a |
225318bf |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{2} \cdot 3^{12} \cdot 17^{2} \cdot 47^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3196$ |
$12$ |
$0$ |
$14.17711866$ |
$1$ |
|
$0$ |
$11870208$ |
$2.621269$ |
$45633245690375/28874252412$ |
$[1, 1, 0, 1644555, 248746617]$ |
\(y^2+xy=x^3+x^2+1644555x+248746617\) |
2.3.0.a.1, 68.6.0.c.1, 94.6.0.?, 3196.12.0.? |
$[(3432053/52, 9219473197/52)]$ |
225318.b1 |
225318bg2 |
225318.b |
225318bg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 17 \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6392$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4239360$ |
$2.286358$ |
$40682738496457/24334344$ |
$[1, 1, 0, -1582794, -766715220]$ |
\(y^2+xy=x^3+x^2-1582794x-766715220\) |
2.3.0.a.1, 136.6.0.?, 188.6.0.?, 6392.12.0.? |
$[]$ |
225318.b2 |
225318bg1 |
225318.b |
225318bg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 17^{2} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6392$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2119680$ |
$1.939785$ |
$-5386984777/7823808$ |
$[1, 1, 0, -80674, -16556492]$ |
\(y^2+xy=x^3+x^2-80674x-16556492\) |
2.3.0.a.1, 94.6.0.?, 136.6.0.?, 6392.12.0.? |
$[]$ |
225318.c1 |
225318bh1 |
225318.c |
225318bh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 17 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$841984$ |
$1.161545$ |
$1771561/612$ |
$[1, 1, 0, -5568, -103860]$ |
\(y^2+xy=x^3+x^2-5568x-103860\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
225318.c2 |
225318bh2 |
225318.c |
225318bh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2 \cdot 3^{4} \cdot 17^{2} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1683968$ |
$1.508120$ |
$46268279/46818$ |
$[1, 1, 0, 16522, -700290]$ |
\(y^2+xy=x^3+x^2+16522x-700290\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
225318.d1 |
225318s1 |
225318.d |
225318s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 17 \cdot 47^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35085312$ |
$2.890442$ |
$51808238039/360972288$ |
$[1, 0, 1, 2234357, -4271087818]$ |
\(y^2+xy+y=x^3+2234357x-4271087818\) |
68.2.0.a.1 |
$[]$ |
225318.e1 |
225318t2 |
225318.e |
225318t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{24} \cdot 3^{5} \cdot 17^{3} \cdot 47^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4794$ |
$16$ |
$0$ |
$15.69112978$ |
$1$ |
|
$0$ |
$613992960$ |
$4.518555$ |
$-361481634028122457/20029630316544$ |
$[1, 0, 1, -5560498160, 167060138044862]$ |
\(y^2+xy+y=x^3-5560498160x+167060138044862\) |
3.4.0.a.1, 102.8.0.?, 141.8.0.?, 4794.16.0.? |
$[(1614079329/173, 25245198835199/173)]$ |
225318.e2 |
225318t1 |
225318.e |
225318t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{8} \cdot 3^{15} \cdot 17 \cdot 47^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4794$ |
$16$ |
$0$ |
$5.230376593$ |
$1$ |
|
$2$ |
$204664320$ |
$3.969250$ |
$105051127495703/62446443264$ |
$[1, 0, 1, 368314255, 448651558532]$ |
\(y^2+xy+y=x^3+368314255x+448651558532\) |
3.4.0.a.1, 102.8.0.?, 141.8.0.?, 4794.16.0.? |
$[(33387, 7051690)]$ |
225318.f1 |
225318u1 |
225318.f |
225318u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{3} \cdot 3 \cdot 17^{4} \cdot 47^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10720512$ |
$2.763103$ |
$-8004468386329/2004504$ |
$[1, 0, 1, -11989394, 15981249500]$ |
\(y^2+xy+y=x^3-11989394x+15981249500\) |
24.2.0.b.1 |
$[]$ |
225318.g1 |
225318v1 |
225318.g |
225318v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{12} \cdot 3^{10} \cdot 17 \cdot 47^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1.832494226$ |
$1$ |
|
$2$ |
$28154880$ |
$3.156044$ |
$-47779773069625/4111699968$ |
$[1, 0, 1, -21748756, -41842970350]$ |
\(y^2+xy+y=x^3-21748756x-41842970350\) |
68.2.0.a.1 |
$[(20065, 2746799)]$ |
225318.h1 |
225318w1 |
225318.h |
225318w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{12} \cdot 3^{10} \cdot 17 \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.481786019$ |
$1$ |
|
$4$ |
$599040$ |
$1.230970$ |
$-47779773069625/4111699968$ |
$[1, 0, 1, -9846, 402184]$ |
\(y^2+xy+y=x^3-9846x+402184\) |
68.2.0.a.1 |
$[(-43, 885)]$ |
225318.i1 |
225318x1 |
225318.i |
225318x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{2} \cdot 3^{8} \cdot 17 \cdot 47^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.489296561$ |
$1$ |
|
$16$ |
$135168$ |
$0.590320$ |
$-133157973625/446148$ |
$[1, 0, 1, -1386, 19792]$ |
\(y^2+xy+y=x^3-1386x+19792\) |
68.2.0.a.1 |
$[(20, 3), (47, 219)]$ |
225318.j1 |
225318y1 |
225318.j |
225318y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{2} \cdot 3^{8} \cdot 17 \cdot 47^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6352896$ |
$2.515392$ |
$-133157973625/446148$ |
$[1, 0, 1, -3060616, -2067133174]$ |
\(y^2+xy+y=x^3-3060616x-2067133174\) |
68.2.0.a.1 |
$[]$ |
225318.k1 |
225318z2 |
225318.k |
225318z |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{3} \cdot 3 \cdot 17^{3} \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19176$ |
$16$ |
$0$ |
$3.714628382$ |
$1$ |
|
$0$ |
$124416$ |
$0.445561$ |
$-15778011625/117912$ |
$[1, 0, 1, -681, 6820]$ |
\(y^2+xy+y=x^3-681x+6820\) |
3.4.0.a.1, 141.8.0.?, 408.8.0.?, 19176.16.0.? |
$[(55/2, 25/2)]$ |
225318.k2 |
225318z1 |
225318.k |
225318z |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2 \cdot 3^{3} \cdot 17 \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$19176$ |
$16$ |
$0$ |
$1.238209460$ |
$1$ |
|
$2$ |
$41472$ |
$-0.103745$ |
$734375/918$ |
$[1, 0, 1, 24, 52]$ |
\(y^2+xy+y=x^3+24x+52\) |
3.4.0.a.1, 141.8.0.?, 408.8.0.?, 19176.16.0.? |
$[(2, 9)]$ |
225318.l1 |
225318ba3 |
225318.l |
225318ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 17^{3} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$12.04920225$ |
$1$ |
|
$1$ |
$7153920$ |
$2.566502$ |
$46753267515625/11591221248$ |
$[1, 0, 1, -1657901, 621056360]$ |
\(y^2+xy+y=x^3-1657901x+621056360\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(4449369/112, 12130634629/112)]$ |
225318.l2 |
225318ba1 |
225318.l |
225318ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 17 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$4.016400751$ |
$1$ |
|
$3$ |
$2384640$ |
$2.017193$ |
$1845026709625/793152$ |
$[1, 0, 1, -564446, -163209328]$ |
\(y^2+xy+y=x^3-564446x-163209328\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(17997, 2403229)]$ |
225318.l3 |
225318ba2 |
225318.l |
225318ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{3} \cdot 3^{12} \cdot 17^{2} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$8.032801503$ |
$1$ |
|
$0$ |
$4769280$ |
$2.363766$ |
$-1107111813625/1228691592$ |
$[1, 0, 1, -476086, -216013264]$ |
\(y^2+xy+y=x^3-476086x-216013264\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(881806/7, 824350787/7)]$ |
225318.l4 |
225318ba4 |
225318.l |
225318ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 17^{6} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$19176$ |
$96$ |
$1$ |
$24.09840451$ |
$1$ |
|
$0$ |
$14307840$ |
$2.913074$ |
$655215969476375/1001033261568$ |
$[1, 0, 1, 3997139, 3939433832]$ |
\(y^2+xy+y=x^3+3997139x+3939433832\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(3862872609313/14672, 7613425027704830599/14672)]$ |
225318.m1 |
225318bb2 |
225318.m |
225318bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{3} \cdot 3 \cdot 17^{3} \cdot 47^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$408$ |
$16$ |
$0$ |
$120.9076592$ |
$1$ |
|
$0$ |
$5847552$ |
$2.370636$ |
$-15778011625/117912$ |
$[1, 0, 1, -1503271, -714111838]$ |
\(y^2+xy+y=x^3-1503271x-714111838\) |
3.8.0-3.a.1.1, 408.16.0.? |
$[(23857256140687596516158047029595444293807858744194631/3455956146552610744014530, 2650932970342022575434213819411037712441472379695255095945917663197383105593181/3455956146552610744014530)]$ |
225318.m2 |
225318bb1 |
225318.m |
225318bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2 \cdot 3^{3} \cdot 17 \cdot 47^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$408$ |
$16$ |
$0$ |
$40.30255307$ |
$1$ |
|
$2$ |
$1949184$ |
$1.821329$ |
$734375/918$ |
$[1, 0, 1, 54074, -5208394]$ |
\(y^2+xy+y=x^3+54074x-5208394\) |
3.8.0-3.a.1.2, 408.16.0.? |
$[(513343967892794134/32491885, 391839425551718279982423707/32491885)]$ |
225318.n1 |
225318bc1 |
225318.n |
225318bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{3} \cdot 3 \cdot 17^{4} \cdot 47^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$228096$ |
$0.838029$ |
$-8004468386329/2004504$ |
$[1, 0, 1, -5428, -154390]$ |
\(y^2+xy+y=x^3-5428x-154390\) |
24.2.0.b.1 |
$[]$ |
225318.o1 |
225318bd2 |
225318.o |
225318bd |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{24} \cdot 3^{5} \cdot 17^{3} \cdot 47^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$102$ |
$16$ |
$0$ |
$11.55742066$ |
$1$ |
|
$0$ |
$13063680$ |
$2.593483$ |
$-361481634028122457/20029630316544$ |
$[1, 0, 1, -2517202, -1609300252]$ |
\(y^2+xy+y=x^3-2517202x-1609300252\) |
3.8.0-3.a.1.1, 102.16.0.? |
$[(16653421/95, 3880898359/95)]$ |
225318.o2 |
225318bd1 |
225318.o |
225318bd |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{8} \cdot 3^{15} \cdot 17 \cdot 47^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$102$ |
$16$ |
$0$ |
$3.852473553$ |
$1$ |
|
$4$ |
$4354560$ |
$2.044174$ |
$105051127495703/62446443264$ |
$[1, 0, 1, 166733, -4307122]$ |
\(y^2+xy+y=x^3+166733x-4307122\) |
3.8.0-3.a.1.2, 102.16.0.? |
$[(1039, 35408)]$ |
225318.p1 |
225318be1 |
225318.p |
225318be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 17 \cdot 47^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$746496$ |
$0.965368$ |
$51808238039/360972288$ |
$[1, 0, 1, 1011, 41224]$ |
\(y^2+xy+y=x^3+1011x+41224\) |
68.2.0.a.1 |
$[]$ |
225318.q1 |
225318g2 |
225318.q |
225318g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 17^{4} \cdot 47^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$376$ |
$12$ |
$0$ |
$1.585322375$ |
$1$ |
|
$6$ |
$101744640$ |
$3.581673$ |
$1192111508635128247249/7651496452608$ |
$[1, 1, 1, -487970355, 4148724345201]$ |
\(y^2+xy+y=x^3+x^2-487970355x+4148724345201\) |
2.3.0.a.1, 8.6.0.b.1, 188.6.0.?, 376.12.0.? |
$[(13281, 97182)]$ |
225318.q2 |
225318g1 |
225318.q |
225318g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{18} \cdot 3^{8} \cdot 17^{2} \cdot 47^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$376$ |
$12$ |
$0$ |
$0.792661187$ |
$1$ |
|
$9$ |
$50872320$ |
$3.235100$ |
$-274585709373920209/23361765507072$ |
$[1, 1, 1, -29912115, 67425426801]$ |
\(y^2+xy+y=x^3+x^2-29912115x+67425426801\) |
2.3.0.a.1, 8.6.0.c.1, 94.6.0.?, 376.12.0.? |
$[(1249, 178304)]$ |
225318.r1 |
225318h1 |
225318.r |
225318h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2 \cdot 3^{13} \cdot 17^{3} \cdot 47^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$268.9223061$ |
$1$ |
|
$0$ |
$4152844800$ |
$5.194496$ |
$-15397029525197722850243627281/15665817798$ |
$[1, 1, 1, -1491072285185, 700802714776192661]$ |
\(y^2+xy+y=x^3+x^2-1491072285185x+700802714776192661\) |
408.2.0.? |
$[(1434015810632115771937526523156032537779329022897913942356765820140348551496000466566951655319159431804889154086731471/51380967102035989884948727151116191944811392429287663894, 30638481563289500527607543813183493169890946158096271782280320684509429584820899666590756268174749497260123920184725508058583455455031234041603464890809378183124011176347673649/51380967102035989884948727151116191944811392429287663894)]$ |
225318.s1 |
225318i1 |
225318.s |
225318i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 17 \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$0.480732651$ |
$1$ |
|
$6$ |
$322560$ |
$0.510595$ |
$5529503/1586304$ |
$[1, 1, 1, 48, 2865]$ |
\(y^2+xy+y=x^3+x^2+48x+2865\) |
136.2.0.? |
$[(1, 53)]$ |
225318.t1 |
225318j2 |
225318.t |
225318j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{5} \cdot 3^{8} \cdot 17^{6} \cdot 47^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6392$ |
$12$ |
$0$ |
$8.627484881$ |
$1$ |
|
$0$ |
$42393600$ |
$3.376743$ |
$480006385101608833/238183351674336$ |
$[1, 1, 1, -36033254, -31448242429]$ |
\(y^2+xy+y=x^3+x^2-36033254x-31448242429\) |
2.3.0.a.1, 68.6.0.c.1, 376.6.0.?, 6392.12.0.? |
$[(-111727/8, 83225789/8)]$ |
225318.t2 |
225318j1 |
225318.t |
225318j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 17^{3} \cdot 47^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6392$ |
$12$ |
$0$ |
$4.313742440$ |
$1$ |
|
$1$ |
$21196800$ |
$3.030167$ |
$75160530649878913/900176053248$ |
$[1, 1, 1, -19421574, 32593106307]$ |
\(y^2+xy+y=x^3+x^2-19421574x+32593106307\) |
2.3.0.a.1, 34.6.0.a.1, 376.6.0.?, 6392.12.0.? |
$[(13315/2, 543349/2)]$ |
225318.u1 |
225318k1 |
225318.u |
225318k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{57} \cdot 3 \cdot 17^{4} \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.614380677$ |
$1$ |
|
$0$ |
$99590400$ |
$3.694935$ |
$-197483045893483730875146241/36109933869850674855936$ |
$[1, 1, 1, -158003706, 876877213575]$ |
\(y^2+xy+y=x^3+x^2-158003706x+876877213575\) |
24.2.0.b.1 |
$[(71473/3, 9362729/3)]$ |
225318.v1 |
225318l1 |
225318.v |
225318l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 17 \cdot 47^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$88320$ |
$0.248193$ |
$-4879681/66096$ |
$[1, 1, 1, -46, -613]$ |
\(y^2+xy+y=x^3+x^2-46x-613\) |
102.2.0.? |
$[]$ |
225318.w1 |
225318m2 |
225318.w |
225318m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{2} \cdot 3 \cdot 17^{4} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$564$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$187662336$ |
$4.047249$ |
$16890809037822478057344625/2213974668$ |
$[1, 1, 1, -11807862733, 493856450595479]$ |
\(y^2+xy+y=x^3+x^2-11807862733x+493856450595479\) |
2.3.0.a.1, 12.6.0.a.1, 188.6.0.?, 564.12.0.? |
$[]$ |
225318.w2 |
225318m1 |
225318.w |
225318m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 17^{8} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$93831168$ |
$3.700672$ |
$-4123698682768504296625/47211926360688$ |
$[1, 1, 1, -737989393, 7716320945375]$ |
\(y^2+xy+y=x^3+x^2-737989393x+7716320945375\) |
2.3.0.a.1, 12.6.0.b.1, 94.6.0.?, 564.12.0.? |
$[]$ |
225318.x1 |
225318n1 |
225318.x |
225318n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{57} \cdot 3 \cdot 17^{4} \cdot 47^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$10.42556434$ |
$1$ |
|
$0$ |
$4680748800$ |
$5.620010$ |
$-197483045893483730875146241/36109933869850674855936$ |
$[1, 1, 1, -349030186600, -91047003548747671]$ |
\(y^2+xy+y=x^3+x^2-349030186600x-91047003548747671\) |
24.2.0.b.1 |
$[(123733337637/257, 40968445242595565/257)]$ |
225318.y1 |
225318o1 |
225318.y |
225318o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 17 \cdot 47^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4151040$ |
$2.173267$ |
$-4879681/66096$ |
$[1, 1, 1, -101660, 61591853]$ |
\(y^2+xy+y=x^3+x^2-101660x+61591853\) |
102.2.0.? |
$[]$ |
225318.z1 |
225318p5 |
225318.z |
225318p |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 17 \cdot 47^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.125 |
2B |
$12784$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$506462208$ |
$4.651337$ |
$98441686359563523681894337/42493431686285386512$ |
$[1, 1, 1, -21249440202, 1191801958000839]$ |
\(y^2+xy+y=x^3+x^2-21249440202x+1191801958000839\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.7, 34.6.0.a.1, $\ldots$ |
$[]$ |
225318.z2 |
225318p4 |
225318.z |
225318p |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 17^{8} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.182 |
2B |
$12784$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$253231104$ |
$4.304764$ |
$15546208997574844798862017/6798517395939072$ |
$[1, 1, 1, -11485836922, -473801362114297]$ |
\(y^2+xy+y=x^3+x^2-11485836922x-473801362114297\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.6, 188.24.0.?, 272.96.0.?, $\ldots$ |
$[]$ |
225318.z3 |
225318p3 |
225318.z |
225318p |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 17^{2} \cdot 47^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.109 |
2Cs |
$6392$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$2$ |
$253231104$ |
$4.304764$ |
$37370766650444353872577/15540654858358857984$ |
$[1, 1, 1, -1538621562, 12322339238151]$ |
\(y^2+xy+y=x^3+x^2-1538621562x+12322339238151\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.10, 68.24.0.c.1, 136.96.0.?, $\ldots$ |
$[]$ |
225318.z4 |
225318p2 |
225318.z |
225318p |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 17^{4} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.11 |
2Cs |
$6392$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$126615552$ |
$3.958187$ |
$3852904932600395518657/79330715220639744$ |
$[1, 1, 1, -721468282, -7325294226169]$ |
\(y^2+xy+y=x^3+x^2-721468282x-7325294226169\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.2.15, 136.96.0.?, 188.48.0.?, $\ldots$ |
$[]$ |
225318.z5 |
225318p1 |
225318.z |
225318p |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{32} \cdot 3^{4} \cdot 17^{2} \cdot 47^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.33 |
2B |
$12784$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$63307776$ |
$3.611614$ |
$137763859017023/4725421803307008$ |
$[1, 1, 1, 2376838, -343373736697]$ |
\(y^2+xy+y=x^3+x^2+2376838x-343373736697\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 16.48.0-16.e.1.15, 94.6.0.?, $\ldots$ |
$[]$ |
225318.z6 |
225318p6 |
225318.z |
225318p |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{4} \cdot 3^{32} \cdot 17 \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.174 |
2B |
$12784$ |
$192$ |
$1$ |
$1$ |
$64$ |
$2$ |
$0$ |
$506462208$ |
$4.651337$ |
$1359160622839941451020863/1113383474431250961168$ |
$[1, 1, 1, 5097744598, 90307605257543]$ |
\(y^2+xy+y=x^3+x^2+5097744598x+90307605257543\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.e.2.3, 68.12.0.h.1, $\ldots$ |
$[]$ |
225318.ba1 |
225318q1 |
225318.ba |
225318q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 17 \cdot 47^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1.606718172$ |
$1$ |
|
$2$ |
$15160320$ |
$2.435669$ |
$5529503/1586304$ |
$[1, 1, 1, 105986, -295351621]$ |
\(y^2+xy+y=x^3+x^2+105986x-295351621\) |
136.2.0.? |
$[(7547, 652299)]$ |
225318.bb1 |
225318r1 |
225318.bb |
225318r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2 \cdot 3^{13} \cdot 17^{3} \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1160.626192$ |
$1$ |
|
$0$ |
$88358400$ |
$3.269424$ |
$-15397029525197722850243627281/15665817798$ |
$[1, 1, 1, -674998771, -6750262814809]$ |
\(y^2+xy+y=x^3+x^2-674998771x-6750262814809\) |
408.2.0.? |
$[(756130692729890659649552886759165478447650040309925610147986384268468405822125412665952278395973659478413547909004008800336071428071206850928056234022670900457692401137946337080996905590477778258568850067631183396224023054533812309815262209252256224014712838568211751890204555961350323266340414214630595567140936596353761955978904131251448844741037470641011364850251884170592034204496172383044823466879445961656267074566123334838526945371476974816710313183765662169028419124343480754134495621066284794911/5000594504832405845856074582173637893141330818342618137510521078238082292630083976473049533205072219270963972902281401472646739919204536458219121837098368773502459298641805396398634350857483092478685099924234064287482126427584422901049004246008240090, 85466656978350189051114043688827684072092771212085832528949953401140911514503884391189320165286004031050444141795434956243624199843014904249634796848100441966045554250904751275473348938379501540407786018584070592151383138125315349382261216406088448756797766209739674564527733404709879521448305875126773996044910791083664408134074414009988354366622251719232544646211407546563857551167898108430746009853691568410809741942621724404376084820751862881540227002462200010535869582322428544150359172893598977876311415405254585285368459584527418844361852091591614092373652317311654103705131672365648836070003659214714547897953646267628298406112749866944323326310419598390261106105016451155891291218632848636635899770080442706234490187666555696213095727030993113971/5000594504832405845856074582173637893141330818342618137510521078238082292630083976473049533205072219270963972902281401472646739919204536458219121837098368773502459298641805396398634350857483092478685099924234064287482126427584422901049004246008240090)]$ |
225318.bc1 |
225318a2 |
225318.bc |
225318a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{5} \cdot 3 \cdot 17 \cdot 47^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19176$ |
$12$ |
$0$ |
$6.051688225$ |
$4$ |
$2$ |
$0$ |
$42393600$ |
$3.156487$ |
$30949975477232209/17591679416928$ |
$[1, 0, 0, -14449115, 2820903921]$ |
\(y^2+xy=x^3-14449115x+2820903921\) |
2.3.0.a.1, 188.6.0.?, 408.6.0.?, 19176.12.0.? |
$[(340/3, 1287337/3)]$ |
225318.bc2 |
225318a1 |
225318.bc |
225318a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 17^{2} \cdot 47^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19176$ |
$12$ |
$0$ |
$3.025844112$ |
$1$ |
|
$3$ |
$21196800$ |
$2.809910$ |
$469296691776431/276524669952$ |
$[1, 0, 0, 3576325, 351418641]$ |
\(y^2+xy=x^3+3576325x+351418641\) |
2.3.0.a.1, 94.6.0.?, 408.6.0.?, 19176.12.0.? |
$[(90894, 27363825)]$ |
225318.bd1 |
225318b1 |
225318.bd |
225318b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 17^{5} \cdot 47^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5114880$ |
$2.046494$ |
$-2746531936159393/6542701056$ |
$[1, 0, 0, -494862, -134307324]$ |
\(y^2+xy=x^3-494862x-134307324\) |
136.2.0.? |
$[]$ |
225318.be1 |
225318c2 |
225318.be |
225318c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17 \cdot 47^{2} \) |
\( 2^{6} \cdot 3 \cdot 17 \cdot 47^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9588$ |
$12$ |
$0$ |
$2.032761234$ |
$4$ |
$2$ |
$2$ |
$13565952$ |
$2.803329$ |
$583306826994199153/7210176$ |
$[1, 0, 0, -38452109, 91772633169]$ |
\(y^2+xy=x^3-38452109x+91772633169\) |
2.3.0.a.1, 188.6.0.?, 204.6.0.?, 9588.12.0.? |
$[(8550, 618663)]$ |