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 |
66270.a1 |
66270a1 |
66270.a |
66270a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 47^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$423936$ |
$1.796722$ |
$46268279/1624320$ |
$[1, 1, 0, 16522, -6306732]$ |
\(y^2+xy=x^3+x^2+16522x-6306732\) |
2820.2.0.? |
$[]$ |
66270.b1 |
66270b1 |
66270.b |
66270b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5 \cdot 47^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3248640$ |
$2.659729$ |
$44643518089/18895680$ |
$[1, 1, 0, -2126208, -619357248]$ |
\(y^2+xy=x^3+x^2-2126208x-619357248\) |
10.2.0.a.1 |
$[]$ |
66270.c1 |
66270c2 |
66270.c |
66270c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2 \cdot 3^{5} \cdot 5^{4} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1128$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3532800$ |
$2.587887$ |
$1871826712886521/670983750$ |
$[1, 1, 0, -5671653, 5194940607]$ |
\(y^2+xy=x^3+x^2-5671653x+5194940607\) |
2.3.0.a.1, 24.6.0.a.1, 188.6.0.?, 1128.12.0.? |
$[]$ |
66270.c2 |
66270c1 |
66270.c |
66270c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1128$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1766400$ |
$2.241310$ |
$-287626699801/277530300$ |
$[1, 1, 0, -303783, 105126273]$ |
\(y^2+xy=x^3+x^2-303783x+105126273\) |
2.3.0.a.1, 24.6.0.d.1, 94.6.0.?, 1128.12.0.? |
$[]$ |
66270.d1 |
66270d1 |
66270.d |
66270d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{13} \cdot 47^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$439296$ |
$1.499935$ |
$484722957959161/175781250000$ |
$[1, 1, 0, -21313, 722917]$ |
\(y^2+xy=x^3+x^2-21313x+722917\) |
10.2.0.a.1 |
$[]$ |
66270.e1 |
66270h2 |
66270.e |
66270h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{4} \cdot 47^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1128$ |
$12$ |
$0$ |
$2.218737258$ |
$1$ |
|
$2$ |
$1271808$ |
$2.076126$ |
$122689385209/33135000$ |
$[1, 1, 0, -228677, -30833259]$ |
\(y^2+xy=x^3+x^2-228677x-30833259\) |
2.3.0.a.1, 24.6.0.a.1, 188.6.0.?, 1128.12.0.? |
$[(-255, 3441)]$ |
66270.e2 |
66270h1 |
66270.e |
66270h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 47^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1128$ |
$12$ |
$0$ |
$1.109368629$ |
$1$ |
|
$5$ |
$635904$ |
$1.729551$ |
$494913671/676800$ |
$[1, 1, 0, 36403, -3105891]$ |
\(y^2+xy=x^3+x^2+36403x-3105891\) |
2.3.0.a.1, 24.6.0.d.1, 94.6.0.?, 1128.12.0.? |
$[(1343, 49031)]$ |
66270.f1 |
66270e1 |
66270.f |
66270e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{11} \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1.553177787$ |
$1$ |
|
$4$ |
$34974720$ |
$3.853397$ |
$-8121969458732291369689/2284200000000000$ |
$[1, 1, 0, -925070707, 10831798104301]$ |
\(y^2+xy=x^3+x^2-925070707x+10831798104301\) |
2820.2.0.? |
$[(19062, 343909)]$ |
66270.g1 |
66270f1 |
66270.g |
66270f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5 \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.065780732$ |
$1$ |
|
$4$ |
$69120$ |
$0.734656$ |
$44643518089/18895680$ |
$[1, 1, 0, -962, 5556]$ |
\(y^2+xy=x^3+x^2-962x+5556\) |
10.2.0.a.1 |
$[(-25, 134)]$ |
66270.h1 |
66270g1 |
66270.h |
66270g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{13} \cdot 47^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.500830461$ |
$1$ |
|
$4$ |
$20646912$ |
$3.425011$ |
$484722957959161/175781250000$ |
$[1, 1, 0, -47081567, -75997035531]$ |
\(y^2+xy=x^3+x^2-47081567x-75997035531\) |
10.2.0.a.1 |
$[(-5707, 85691)]$ |
66270.i1 |
66270j1 |
66270.i |
66270j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{5} \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$2.225934130$ |
$1$ |
|
$2$ |
$2472960$ |
$2.469051$ |
$-203401212841/5139450000$ |
$[1, 0, 1, -270649, -362204884]$ |
\(y^2+xy+y=x^3-270649x-362204884\) |
2820.2.0.? |
$[(1735, 65402)]$ |
66270.j1 |
66270i1 |
66270.j |
66270i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{32} \cdot 3^{2} \cdot 5 \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.976969832$ |
$1$ |
|
$0$ |
$417792$ |
$1.766306$ |
$439302518441971081/193273528320$ |
$[1, 0, 1, -206259, 36024142]$ |
\(y^2+xy+y=x^3-206259x+36024142\) |
10.2.0.a.1 |
$[(5831/5, 83664/5)]$ |
66270.k1 |
66270m7 |
66270.k |
66270m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$2543616$ |
$2.489239$ |
$16778985534208729/81000$ |
$[1, 0, 1, -11781748, 15564503978]$ |
\(y^2+xy+y=x^3-11781748x+15564503978\) |
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, $\ldots$ |
$[]$ |
66270.k2 |
66270m8 |
66270.k |
66270m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{12} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$2543616$ |
$2.489239$ |
$10316097499609/5859375000$ |
$[1, 0, 1, -1001828, 52446506]$ |
\(y^2+xy+y=x^3-1001828x+52446506\) |
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, $\ldots$ |
$[]$ |
66270.k3 |
66270m6 |
66270.k |
66270m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$5640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$1271808$ |
$2.142666$ |
$4102915888729/9000000$ |
$[1, 0, 1, -736748, 242879978]$ |
\(y^2+xy+y=x^3-736748x+242879978\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[]$ |
66270.k4 |
66270m5 |
66270.k |
66270m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{4} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$847872$ |
$1.939934$ |
$2656166199049/33750$ |
$[1, 0, 1, -637343, -195893692]$ |
\(y^2+xy+y=x^3-637343x-195893692\) |
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, $\ldots$ |
$[]$ |
66270.k5 |
66270m4 |
66270.k |
66270m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$847872$ |
$1.939934$ |
$35578826569/5314410$ |
$[1, 0, 1, -151363, 19510316]$ |
\(y^2+xy+y=x^3-151363x+19510316\) |
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, $\ldots$ |
$[]$ |
66270.k6 |
66270m2 |
66270.k |
66270m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$5640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$423936$ |
$1.593361$ |
$702595369/72900$ |
$[1, 0, 1, -40913, -2888944]$ |
\(y^2+xy+y=x^3-40913x-2888944\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[]$ |
66270.k7 |
66270m3 |
66270.k |
66270m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$635904$ |
$1.796093$ |
$-273359449/1536000$ |
$[1, 0, 1, -29868, 6499306]$ |
\(y^2+xy+y=x^3-29868x+6499306\) |
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, $\ldots$ |
$[]$ |
66270.k8 |
66270m1 |
66270.k |
66270m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$5640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$211968$ |
$1.246786$ |
$357911/2160$ |
$[1, 0, 1, 3267, -220472]$ |
\(y^2+xy+y=x^3+3267x-220472\) |
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, $\ldots$ |
$[]$ |
66270.l1 |
66270k1 |
66270.l |
66270k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{32} \cdot 3^{2} \cdot 5 \cdot 47^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$19636224$ |
$3.691380$ |
$439302518441971081/193273528320$ |
$[1, 0, 1, -455625073, -3741957021052]$ |
\(y^2+xy+y=x^3-455625073x-3741957021052\) |
10.2.0.a.1 |
$[]$ |
66270.m1 |
66270l2 |
66270.m |
66270l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{5} \cdot 3^{6} \cdot 5^{10} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10598400$ |
$3.123734$ |
$27175609354259449/10707187500000$ |
$[1, 0, 1, -13836118, 11190114056]$ |
\(y^2+xy+y=x^3-13836118x+11190114056\) |
2.3.0.a.1, 60.6.0.c.1, 376.6.0.?, 5640.12.0.? |
$[]$ |
66270.m2 |
66270l1 |
66270.m |
66270l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{5} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5299200$ |
$2.777157$ |
$219376239860231/190857600000$ |
$[1, 0, 1, 2775562, 1262974088]$ |
\(y^2+xy+y=x^3+2775562x+1262974088\) |
2.3.0.a.1, 30.6.0.a.1, 376.6.0.?, 5640.12.0.? |
$[]$ |
66270.n1 |
66270p2 |
66270.n |
66270p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2 \cdot 3^{10} \cdot 5^{8} \cdot 47^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$376$ |
$12$ |
$0$ |
$369.4056624$ |
$1$ |
|
$0$ |
$181923840$ |
$4.624672$ |
$27632526176252046076847/46132031250$ |
$[1, 1, 1, -65392187626, -6436336642975927]$ |
\(y^2+xy+y=x^3+x^2-65392187626x-6436336642975927\) |
2.3.0.a.1, 8.6.0.e.1, 188.6.0.?, 376.12.0.? |
$[(585043893873306972750837829430365957644031405739624730621879266317137578803145397623779384121313615637458197731554220122530892085802191360983943411255796116471051/777040554106649409846592683356099123778075969146041073219729699883610368594166, 429752827326037768132466391643214018393763668136759825906853159401073162935991567425348485069765544801113055335000884149961513024585755184014642817266075500636305182539219991540416439150544798156089626616046798156544732501514757562271847370119/777040554106649409846592683356099123778075969146041073219729699883610368594166)]$ |
66270.n2 |
66270p1 |
66270.n |
66270p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 47^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$376$ |
$12$ |
$0$ |
$184.7028312$ |
$1$ |
|
$1$ |
$90961920$ |
$4.278099$ |
$-6739948204520897807/8716961002500$ |
$[1, 1, 1, -4085744356, -100634524526431]$ |
\(y^2+xy+y=x^3+x^2-4085744356x-100634524526431\) |
2.3.0.a.1, 8.6.0.e.1, 94.6.0.?, 376.12.0.? |
$[(1117985992787027641475754490893830966588904406194463631120411379822550322832347329/34214363077053187600163070106134645329, 37276227687585196881483213316265985465847311348550758348888303184362839061102065926631132209262676932125246328902335581135/34214363077053187600163070106134645329)]$ |
66270.o1 |
66270n1 |
66270.o |
66270n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{5} \cdot 47^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.287069239$ |
$1$ |
|
$4$ |
$7580160$ |
$3.016266$ |
$20493730741489/460800000$ |
$[1, 1, 1, -16401871, -25072710571]$ |
\(y^2+xy+y=x^3+x^2-16401871x-25072710571\) |
10.2.0.a.1 |
$[(7547, 526386)]$ |
66270.p1 |
66270o1 |
66270.p |
66270o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 47^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$0.464534113$ |
$1$ |
|
$4$ |
$80640$ |
$0.713761$ |
$7189057/384000$ |
$[1, 1, 1, 189, 9633]$ |
\(y^2+xy+y=x^3+x^2+189x+9633\) |
2820.2.0.? |
$[(27, 174)]$ |
66270.q1 |
66270w1 |
66270.q |
66270w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{4} \cdot 3^{25} \cdot 5 \cdot 47^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$37094400$ |
$3.615303$ |
$-11333146141863707329/3185805171505680$ |
$[1, 1, 1, -103372410, -493134994665]$ |
\(y^2+xy+y=x^3+x^2-103372410x-493134994665\) |
2820.2.0.? |
$[]$ |
66270.r1 |
66270v2 |
66270.r |
66270v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2 \cdot 3^{10} \cdot 5^{8} \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$376$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3870720$ |
$2.699596$ |
$27632526176252046076847/46132031250$ |
$[1, 1, 1, -29602620, 61980763407]$ |
\(y^2+xy+y=x^3+x^2-29602620x+61980763407\) |
2.3.0.a.1, 8.6.0.e.1, 188.6.0.?, 376.12.0.? |
$[]$ |
66270.r2 |
66270v1 |
66270.r |
66270v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$376$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1935360$ |
$2.353024$ |
$-6739948204520897807/8716961002500$ |
$[1, 1, 1, -1849590, 968502255]$ |
\(y^2+xy+y=x^3+x^2-1849590x+968502255\) |
2.3.0.a.1, 8.6.0.e.1, 94.6.0.?, 376.12.0.? |
$[]$ |
66270.s1 |
66270s1 |
66270.s |
66270s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{5} \cdot 47^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.102758113$ |
$1$ |
|
$32$ |
$161280$ |
$1.091192$ |
$20493730741489/460800000$ |
$[1, 1, 1, -7425, 238335]$ |
\(y^2+xy+y=x^3+x^2-7425x+238335\) |
10.2.0.a.1 |
$[(-17, 608), (223, 3008)]$ |
66270.t1 |
66270q2 |
66270.t |
66270q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{8} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1128$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4239360$ |
$2.937851$ |
$7056785934088129/745537500000$ |
$[1, 1, 1, -8827210, 9122967287]$ |
\(y^2+xy+y=x^3+x^2-8827210x+9122967287\) |
2.3.0.a.1, 24.6.0.a.1, 188.6.0.?, 1128.12.0.? |
$[]$ |
66270.t2 |
66270q1 |
66270.t |
66270q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1128$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2119680$ |
$2.591278$ |
$3760754329151/21928320000$ |
$[1, 1, 1, 715670, 702329975]$ |
\(y^2+xy+y=x^3+x^2+715670x+702329975\) |
2.3.0.a.1, 24.6.0.d.1, 94.6.0.?, 1128.12.0.? |
$[]$ |
66270.u1 |
66270r2 |
66270.u |
66270r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{2} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8902656$ |
$3.191200$ |
$233786904295505523409/5414400$ |
$[1, 1, 1, -283505315, 1837223528897]$ |
\(y^2+xy+y=x^3+x^2-283505315x+1837223528897\) |
2.3.0.a.1, 60.6.0.c.1, 376.6.0.?, 5640.12.0.? |
$[]$ |
66270.u2 |
66270r1 |
66270.u |
66270r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{18} \cdot 3 \cdot 5 \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4451328$ |
$2.844627$ |
$-57070627168555729/8686141440$ |
$[1, 1, 1, -17718435, 28703282625]$ |
\(y^2+xy+y=x^3+x^2-17718435x+28703282625\) |
2.3.0.a.1, 30.6.0.a.1, 376.6.0.?, 5640.12.0.? |
$[]$ |
66270.v1 |
66270t1 |
66270.v |
66270t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 47^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3790080$ |
$2.638836$ |
$7189057/384000$ |
$[1, 1, 1, 417455, -991796305]$ |
\(y^2+xy+y=x^3+x^2+417455x-991796305\) |
2820.2.0.? |
$[]$ |
66270.w1 |
66270u4 |
66270.w |
66270u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{4} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1695744$ |
$2.179291$ |
$14329429649569/4758750$ |
$[1, 1, 1, -1117800, -455212533]$ |
\(y^2+xy+y=x^3+x^2-1117800x-455212533\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 376.24.0.?, 5640.48.0.? |
$[]$ |
66270.w2 |
66270u2 |
66270.w |
66270u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$5640$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$847872$ |
$1.832716$ |
$5168743489/1988100$ |
$[1, 1, 1, -79570, -5036005]$ |
\(y^2+xy+y=x^3+x^2-79570x-5036005\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 376.24.0.?, 2820.24.0.?, $\ldots$ |
$[]$ |
66270.w3 |
66270u1 |
66270.w |
66270u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 47^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$423936$ |
$1.486143$ |
$454756609/11280$ |
$[1, 1, 1, -35390, 2492267]$ |
\(y^2+xy+y=x^3+x^2-35390x+2492267\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 376.24.0.?, 1410.6.0.?, $\ldots$ |
$[]$ |
66270.w4 |
66270u3 |
66270.w |
66270u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2 \cdot 3 \cdot 5 \cdot 47^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$1695744$ |
$2.179291$ |
$163757102111/146390430$ |
$[1, 1, 1, 251780, -35785285]$ |
\(y^2+xy+y=x^3+x^2+251780x-35785285\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 376.24.0.?, $\ldots$ |
$[]$ |
66270.x1 |
66270x2 |
66270.x |
66270x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{4} \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$376$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38117376$ |
$4.003143$ |
$129602612829192047/680244480000$ |
$[1, 0, 0, -1094603726, -13875795682044]$ |
\(y^2+xy=x^3-1094603726x-13875795682044\) |
2.3.0.a.1, 8.6.0.e.1, 188.6.0.?, 376.12.0.? |
$[]$ |
66270.x2 |
66270x1 |
66270.x |
66270x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{2} \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$376$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$19058688$ |
$3.656574$ |
$-3075827761007/76441190400$ |
$[1, 0, 0, -31456206, -450156169980]$ |
\(y^2+xy=x^3-31456206x-450156169980\) |
2.3.0.a.1, 8.6.0.e.1, 94.6.0.?, 376.12.0.? |
$[]$ |
66270.y1 |
66270y2 |
66270.y |
66270y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{4} \cdot 47^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$376$ |
$12$ |
$0$ |
$0.147697952$ |
$1$ |
|
$16$ |
$811008$ |
$2.078072$ |
$129602612829192047/680244480000$ |
$[1, 0, 0, -495520, 133606400]$ |
\(y^2+xy=x^3-495520x+133606400\) |
2.3.0.a.1, 8.6.0.e.1, 188.6.0.?, 376.12.0.? |
$[(80, 9680)]$ |
66270.y2 |
66270y1 |
66270.y |
66270y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{2} \cdot 47^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$376$ |
$12$ |
$0$ |
$0.295395904$ |
$1$ |
|
$11$ |
$405504$ |
$1.731499$ |
$-3075827761007/76441190400$ |
$[1, 0, 0, -14240, 4334592]$ |
\(y^2+xy=x^3-14240x+4334592\) |
2.3.0.a.1, 8.6.0.e.1, 94.6.0.?, 376.12.0.? |
$[(64, 1888)]$ |