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 |
19800.a1 |
19800bg3 |
19800.a |
19800bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.969305005$ |
$1$ |
|
$5$ |
$196608$ |
$2.084846$ |
$127191074376964/495$ |
$0.98053$ |
$5.62560$ |
$[0, 0, 0, -2376075, 1409737750]$ |
\(y^2=x^3-2376075x+1409737750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.z.1, 88.12.0.?, $\ldots$ |
$[(899, 468)]$ |
19800.a2 |
19800bg2 |
19800.a |
19800bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$0.984652502$ |
$1$ |
|
$15$ |
$98304$ |
$1.738274$ |
$124386546256/245025$ |
$0.91921$ |
$4.78500$ |
$[0, 0, 0, -148575, 22005250]$ |
\(y^2=x^3-148575x+22005250\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 44.12.0.b.1, 60.24.0-20.b.1.1, $\ldots$ |
$[(105, 2750)]$ |
19800.a3 |
19800bg4 |
19800.a |
19800bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{14} \cdot 5^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.969305005$ |
$1$ |
|
$5$ |
$196608$ |
$2.084846$ |
$-9220796644/45106875$ |
$0.95649$ |
$4.88919$ |
$[0, 0, 0, -99075, 36904750]$ |
\(y^2=x^3-99075x+36904750\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0-4.c.1.3, 40.12.0.z.1, $\ldots$ |
$[(195, 5000)]$ |
19800.a4 |
19800bg1 |
19800.a |
19800bg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.969305005$ |
$1$ |
|
$7$ |
$49152$ |
$1.391701$ |
$1171019776/658845$ |
$0.99612$ |
$4.03318$ |
$[0, 0, 0, -12450, 89125]$ |
\(y^2=x^3-12450x+89125\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.2, 20.12.0.g.1, $\ldots$ |
$[(6, 121)]$ |
19800.b1 |
19800y1 |
19800.b |
19800y |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.986170$ |
$76136652/275$ |
$0.98136$ |
$3.84416$ |
$[0, 0, 0, -6675, -209250]$ |
\(y^2=x^3-6675x-209250\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
19800.b2 |
19800y2 |
19800.b |
19800y |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.332743$ |
$-6353046/75625$ |
$1.24734$ |
$3.97363$ |
$[0, 0, 0, -3675, -398250]$ |
\(y^2=x^3-3675x-398250\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
19800.c1 |
19800br2 |
19800.c |
19800br |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$76800$ |
$1.449337$ |
$595508/121$ |
$0.81005$ |
$4.17502$ |
$[0, 0, 0, -19875, 868750]$ |
\(y^2=x^3-19875x+868750\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? |
$[]$ |
19800.c2 |
19800br1 |
19800.c |
19800br |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$38400$ |
$1.102764$ |
$5488/11$ |
$0.68672$ |
$3.65229$ |
$[0, 0, 0, 2625, 81250]$ |
\(y^2=x^3+2625x+81250\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? |
$[]$ |
19800.d1 |
19800o3 |
19800.d |
19800o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$2640$ |
$192$ |
$3$ |
$1.659743905$ |
$1$ |
|
$5$ |
$884736$ |
$2.622131$ |
$46424454082884/26794860125$ |
$1.13955$ |
$5.52372$ |
$[0, 0, 0, -1698075, 43827750]$ |
\(y^2=x^3-1698075x+43827750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$ |
$[(-41, 10648)]$ |
19800.d2 |
19800o2 |
19800.d |
19800o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{12} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$1320$ |
$192$ |
$3$ |
$3.319487810$ |
$1$ |
|
$7$ |
$442368$ |
$2.275558$ |
$55537159171536/228765625$ |
$1.14096$ |
$5.40172$ |
$[0, 0, 0, -1135575, -464109750]$ |
\(y^2=x^3-1135575x-464109750\) |
2.6.0.a.1, 4.12.0.a.1, 12.24.0-4.a.1.2, 20.24.0.b.1, 40.48.0.g.1, $\ldots$ |
$[(-629, 1144)]$ |
19800.d3 |
19800o1 |
19800.d |
19800o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$2640$ |
$192$ |
$3$ |
$6.638975620$ |
$1$ |
|
$1$ |
$221184$ |
$1.928984$ |
$885956203616256/15125$ |
$1.05882$ |
$5.40142$ |
$[0, 0, 0, -1134450, -465078375]$ |
\(y^2=x^3-1134450x-465078375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$ |
$[(28185/4, 3507075/4)]$ |
19800.d4 |
19800o4 |
19800.d |
19800o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{18} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$2640$ |
$192$ |
$3$ |
$6.638975620$ |
$1$ |
|
$3$ |
$884736$ |
$2.622131$ |
$-1957960715364/29541015625$ |
$1.10389$ |
$5.53712$ |
$[0, 0, 0, -591075, -910055250]$ |
\(y^2=x^3-591075x-910055250\) |
2.3.0.a.1, 4.12.0.d.1, 24.24.0-4.d.1.3, 40.24.0.w.1, 44.24.0.d.1, $\ldots$ |
$[(1846, 65494)]$ |
19800.e1 |
19800n3 |
19800.e |
19800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.094163281$ |
$1$ |
|
$3$ |
$98304$ |
$1.523346$ |
$37736227588/33$ |
$0.98449$ |
$4.80456$ |
$[0, 0, 0, -158475, -24282250]$ |
\(y^2=x^3-158475x-24282250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.ba.1, 66.6.0.a.1, $\ldots$ |
$[(670, 13050)]$ |
19800.e2 |
19800n4 |
19800.e |
19800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.023540820$ |
$1$ |
|
$7$ |
$98304$ |
$1.523346$ |
$122657188/43923$ |
$0.95383$ |
$4.22550$ |
$[0, 0, 0, -23475, 854750]$ |
\(y^2=x^3-23475x+854750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[(31, 396)]$ |
19800.e3 |
19800n2 |
19800.e |
19800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$2.047081640$ |
$1$ |
|
$9$ |
$49152$ |
$1.176773$ |
$37642192/1089$ |
$0.89513$ |
$3.96597$ |
$[0, 0, 0, -9975, -373750]$ |
\(y^2=x^3-9975x-373750\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.1, $\ldots$ |
$[(-61, 88)]$ |
19800.e4 |
19800n1 |
19800.e |
19800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.023540820$ |
$1$ |
|
$9$ |
$24576$ |
$0.830198$ |
$2048/891$ |
$1.09261$ |
$3.36249$ |
$[0, 0, 0, 150, -19375]$ |
\(y^2=x^3+150x-19375\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(40, 225)]$ |
19800.f1 |
19800bp3 |
19800.f |
19800bp |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{14} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.108376$ |
$228027144098/12890625$ |
$0.94421$ |
$5.05645$ |
$[0, 0, 0, -363675, 80185750]$ |
\(y^2=x^3-363675x+80185750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 120.24.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
19800.f2 |
19800bp2 |
19800.f |
19800bp |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.761803$ |
$2810381476/680625$ |
$0.90521$ |
$4.54204$ |
$[0, 0, 0, -66675, -5053250]$ |
\(y^2=x^3-66675x-5053250\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 120.24.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
19800.f3 |
19800bp1 |
19800.f |
19800bp |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.415228$ |
$9115564624/825$ |
$0.89208$ |
$4.52085$ |
$[0, 0, 0, -62175, -5966750]$ |
\(y^2=x^3-62175x-5966750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 60.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$ |
$[]$ |
19800.f4 |
19800bp4 |
19800.f |
19800bp |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{10} \cdot 5^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.108376$ |
$18814587262/29648025$ |
$0.95073$ |
$4.85927$ |
$[0, 0, 0, 158325, -31828250]$ |
\(y^2=x^3+158325x-31828250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
19800.g1 |
19800b1 |
19800.g |
19800b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.535475$ |
$76136652/275$ |
$0.98136$ |
$4.51043$ |
$[0, 0, 0, -60075, 5649750]$ |
\(y^2=x^3-60075x+5649750\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
19800.g2 |
19800b2 |
19800.g |
19800b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.882050$ |
$-6353046/75625$ |
$1.24734$ |
$4.63989$ |
$[0, 0, 0, -33075, 10752750]$ |
\(y^2=x^3-33075x+10752750\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
19800.h1 |
19800f1 |
19800.h |
19800f |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{25} \cdot 5^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1896960$ |
$3.176064$ |
$-323194518662500/12784876137$ |
$1.07553$ |
$6.37725$ |
$[0, 0, 0, -27721875, 58068418750]$ |
\(y^2=x^3-27721875x+58068418750\) |
132.2.0.? |
$[]$ |
19800.i1 |
19800w1 |
19800.i |
19800w |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.075082251$ |
$1$ |
|
$38$ |
$16896$ |
$0.720593$ |
$-25600/363$ |
$0.88631$ |
$3.23080$ |
$[0, 0, 0, -300, 10100]$ |
\(y^2=x^3-300x+10100\) |
6.2.0.a.1 |
$[(10, 90), (100, 990)]$ |
19800.j1 |
19800bn1 |
19800.j |
19800bn |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{17} \cdot 5^{2} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$591360$ |
$2.694347$ |
$-1963692857508260740/3452093881137$ |
$1.03897$ |
$5.95005$ |
$[0, 0, 0, -6919995, -7017225370]$ |
\(y^2=x^3-6919995x-7017225370\) |
132.2.0.? |
$[]$ |
19800.k1 |
19800bd1 |
19800.k |
19800bd |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1.525436623$ |
$1$ |
|
$5$ |
$18432$ |
$0.914581$ |
$62500/33$ |
$1.02621$ |
$3.45913$ |
$[0, 0, 0, -1875, -9250]$ |
\(y^2=x^3-1875x-9250\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(70, 450)]$ |
19800.k2 |
19800bd2 |
19800.k |
19800bd |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$3.050873246$ |
$1$ |
|
$3$ |
$36864$ |
$1.261154$ |
$1714750/1089$ |
$1.18812$ |
$3.86395$ |
$[0, 0, 0, 7125, -72250]$ |
\(y^2=x^3+7125x-72250\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(46, 594)]$ |
19800.l1 |
19800be2 |
19800.l |
19800be |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.636958117$ |
$1$ |
|
$9$ |
$147456$ |
$2.071224$ |
$93141032522704/136125$ |
$0.97028$ |
$5.45398$ |
$[0, 0, 0, -1349175, 603184250]$ |
\(y^2=x^3-1349175x+603184250\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(665, 250)]$ |
19800.l2 |
19800be1 |
19800.l |
19800be |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.273916235$ |
$1$ |
|
$7$ |
$73728$ |
$1.724651$ |
$-353912203264/13921875$ |
$0.96269$ |
$4.61710$ |
$[0, 0, 0, -83550, 9606125]$ |
\(y^2=x^3-83550x+9606125\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(70, 2025)]$ |
19800.m1 |
19800u1 |
19800.m |
19800u |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38400$ |
$1.392698$ |
$-1488770/99$ |
$0.82182$ |
$4.18601$ |
$[0, 0, 0, -19875, 1138750]$ |
\(y^2=x^3-19875x+1138750\) |
88.2.0.? |
$[]$ |
19800.n1 |
19800bu2 |
19800.n |
19800bu |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$1320$ |
$48$ |
$1$ |
$0.332014967$ |
$1$ |
|
$11$ |
$18432$ |
$0.914066$ |
$41141648/14641$ |
$0.97056$ |
$3.48693$ |
$[0, 0, 0, -2055, 22250]$ |
\(y^2=x^3-2055x+22250\) |
2.3.0.a.1, 4.6.0.d.1, 10.6.0.a.1, 20.12.0.i.1, 60.24.0-20.i.1.2, $\ldots$ |
$[(5, 110)]$ |
19800.n2 |
19800bu1 |
19800.n |
19800bu |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$1320$ |
$48$ |
$1$ |
$0.664029935$ |
$1$ |
|
$7$ |
$9216$ |
$0.567492$ |
$464857088/121$ |
$1.02622$ |
$3.45176$ |
$[0, 0, 0, -1830, 30125]$ |
\(y^2=x^3-1830x+30125\) |
2.3.0.a.1, 4.6.0.d.1, 10.6.0.a.1, 20.12.0.i.1, 60.24.0-20.i.1.1, $\ldots$ |
$[(26, 11)]$ |
19800.o1 |
19800m1 |
19800.o |
19800m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.803143714$ |
$1$ |
|
$7$ |
$24576$ |
$0.992938$ |
$10061824/5445$ |
$0.90322$ |
$3.55237$ |
$[0, 0, 0, -2550, 12625]$ |
\(y^2=x^3-2550x+12625\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(60, 275)]$ |
19800.o2 |
19800m2 |
19800.o |
19800m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.606287428$ |
$1$ |
|
$5$ |
$49152$ |
$1.339512$ |
$35969456/22275$ |
$0.88205$ |
$3.96138$ |
$[0, 0, 0, 9825, 99250]$ |
\(y^2=x^3+9825x+99250\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(15, 500)]$ |
19800.p1 |
19800ba1 |
19800.p |
19800ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.365420239$ |
$1$ |
|
$6$ |
$7680$ |
$0.501499$ |
$-2977540/33$ |
$0.81863$ |
$3.20087$ |
$[0, 0, 0, -795, 8710]$ |
\(y^2=x^3-795x+8710\) |
132.2.0.? |
$[(11, 36)]$ |
19800.q1 |
19800z1 |
19800.q |
19800z |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{19} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.775291772$ |
$1$ |
|
$2$ |
$99840$ |
$1.839788$ |
$-551149496796160/192913083$ |
$1.02147$ |
$4.98304$ |
$[0, 0, 0, -285420, -58709180]$ |
\(y^2=x^3-285420x-58709180\) |
6.2.0.a.1 |
$[(6104, 475002)]$ |
19800.r1 |
19800g1 |
19800.r |
19800g |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.705513377$ |
$1$ |
|
$4$ |
$23040$ |
$1.131351$ |
$137180/323433$ |
$1.03500$ |
$3.72805$ |
$[0, 0, 0, 285, 118190]$ |
\(y^2=x^3+285x+118190\) |
132.2.0.? |
$[(31, 396)]$ |
19800.s1 |
19800s1 |
19800.s |
19800s |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{3} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.474757$ |
$13718/11$ |
$0.77106$ |
$2.88788$ |
$[0, 0, 0, 285, 1150]$ |
\(y^2=x^3+285x+1150\) |
440.2.0.? |
$[]$ |
19800.t1 |
19800h1 |
19800.t |
19800h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{9} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$2.094708130$ |
$1$ |
|
$2$ |
$48384$ |
$1.336584$ |
$-16241202/1375$ |
$0.86555$ |
$4.10500$ |
$[0, 0, 0, -15075, 762750]$ |
\(y^2=x^3-15075x+762750\) |
440.2.0.? |
$[(130, 1000)]$ |
19800.u1 |
19800c3 |
19800.u |
19800c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$65536$ |
$1.566439$ |
$5690357426/891$ |
$0.97486$ |
$4.68340$ |
$[0, 0, 0, -106275, -13333250]$ |
\(y^2=x^3-106275x-13333250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[]$ |
19800.u2 |
19800c2 |
19800.u |
19800c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32768$ |
$1.219864$ |
$3650692/1089$ |
$0.89911$ |
$3.87026$ |
$[0, 0, 0, -7275, -166250]$ |
\(y^2=x^3-7275x-166250\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 88.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
19800.u3 |
19800c1 |
19800.u |
19800c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.873291$ |
$810448/33$ |
$0.82188$ |
$3.57801$ |
$[0, 0, 0, -2775, 54250]$ |
\(y^2=x^3-2775x+54250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 66.6.0.a.1, $\ldots$ |
$[]$ |
19800.u4 |
19800c4 |
19800.u |
19800c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.566439$ |
$36382894/43923$ |
$0.96093$ |
$4.18107$ |
$[0, 0, 0, 19725, -1111250]$ |
\(y^2=x^3+19725x-1111250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 88.12.0.?, $\ldots$ |
$[]$ |
19800.v1 |
19800d3 |
19800.v |
19800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{7} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.720154$ |
$5052857764/219615$ |
$0.90238$ |
$4.60133$ |
$[0, 0, 0, -81075, -8545250]$ |
\(y^2=x^3-81075x-8545250\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 88.24.0.?, 1320.48.0.? |
$[]$ |
19800.v2 |
19800d2 |
19800.v |
19800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.373579$ |
$94875856/27225$ |
$0.84515$ |
$4.05941$ |
$[0, 0, 0, -13575, 432250]$ |
\(y^2=x^3-13575x+432250\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.b.1.3, 60.24.0-60.a.1.2, 660.48.0.? |
$[]$ |
19800.v3 |
19800d1 |
19800.v |
19800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.027006$ |
$1171019776/165$ |
$0.90007$ |
$4.03318$ |
$[0, 0, 0, -12450, 534625]$ |
\(y^2=x^3-12450x+534625\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 120.24.0.?, 330.6.0.?, $\ldots$ |
$[]$ |
19800.v4 |
19800d4 |
19800.v |
19800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.720154$ |
$439608956/556875$ |
$0.90540$ |
$4.37201$ |
$[0, 0, 0, 35925, 2857750]$ |
\(y^2=x^3+35925x+2857750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 22.6.0.a.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
19800.w1 |
19800bi3 |
19800.w |
19800bi |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$393216$ |
$2.429413$ |
$15897679904620804/2475$ |
$1.00524$ |
$6.11362$ |
$[0, 0, 0, -11880075, -15760750250]$ |
\(y^2=x^3-11880075x-15760750250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0-8.n.1.3, $\ldots$ |
$[]$ |
19800.w2 |
19800bi5 |
19800.w |
19800bi |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{22} \cdot 5^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$2.775986$ |
$1185450336504002/26043266205$ |
$0.99676$ |
$5.92128$ |
$[0, 0, 0, -6300075, 5969839750]$ |
\(y^2=x^3-6300075x+5969839750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 24.24.0-8.n.1.2, $\ldots$ |
$[]$ |
19800.w3 |
19800bi4 |
19800.w |
19800bi |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$393216$ |
$2.429413$ |
$5927735656804/2401490025$ |
$0.98157$ |
$5.31569$ |
$[0, 0, 0, -855075, -166675250]$ |
\(y^2=x^3-855075x-166675250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.11, 40.48.0.n.1, $\ldots$ |
$[]$ |