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 |
333795.a1 |
333795a2 |
333795.a |
333795a |
$2$ |
$5$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3 \cdot 5 \cdot 7 \cdot 11^{15} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$39270$ |
$48$ |
$1$ |
$39.09967954$ |
$1$ |
|
$0$ |
$132000000$ |
$3.481091$ |
$-2126464142970105856/438611057788643355$ |
$[0, -1, 1, -7742406, -156763848628]$ |
\(y^2+y=x^3-x^2-7742406x-156763848628\) |
5.12.0.a.2, 85.24.0.?, 2310.24.1.?, 39270.48.1.? |
$[(84125126233781813/1797154, 24150731804578894670016737/1797154)]$ |
333795.a2 |
333795a1 |
333795.a |
333795a |
$2$ |
$5$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{5} \cdot 5^{5} \cdot 7^{5} \cdot 11^{3} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$39270$ |
$48$ |
$1$ |
$7.819935908$ |
$1$ |
|
$2$ |
$26400000$ |
$2.676373$ |
$-79028701534867456/16987307596875$ |
$[0, -1, 1, -2583756, 1872892712]$ |
\(y^2+y=x^3-x^2-2583756x+1872892712\) |
5.12.0.a.1, 85.24.0.?, 2310.24.1.?, 39270.48.1.? |
$[(-1222, 56603)]$ |
333795.b1 |
333795b1 |
333795.b |
333795b |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{12} \cdot 5^{9} \cdot 7^{5} \cdot 11^{2} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$643921920$ |
$4.346046$ |
$-4212633930164198715392/2110866006498046875$ |
$[0, -1, 1, -1653065646, 35337047575826]$ |
\(y^2+y=x^3-x^2-1653065646x+35337047575826\) |
1190.2.0.? |
$[]$ |
333795.c1 |
333795c1 |
333795.c |
333795c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{7} \cdot 5 \cdot 7 \cdot 11 \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$4.097388173$ |
$1$ |
|
$2$ |
$1736448$ |
$1.412975$ |
$-222985990144/841995$ |
$[0, -1, 1, -36510, 2706086]$ |
\(y^2+y=x^3-x^2-36510x+2706086\) |
2310.2.0.? |
$[(107, 114)]$ |
333795.d1 |
333795d1 |
333795.d |
333795d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{5} \cdot 11^{2} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1.381598684$ |
$1$ |
|
$4$ |
$32348160$ |
$2.736160$ |
$-1024241283846148096/11240221174875$ |
$[0, 1, 1, -6069096, 5807138510]$ |
\(y^2+y=x^3+x^2-6069096x+5807138510\) |
1190.2.0.? |
$[(1422, 7369)]$ |
333795.e1 |
333795e1 |
333795.e |
333795e |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3 \cdot 5^{3} \cdot 7 \cdot 11 \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$5.480042000$ |
$1$ |
|
$0$ |
$725760$ |
$0.951420$ |
$-4096/28875$ |
$[0, 1, 1, -96, 40136]$ |
\(y^2+y=x^3+x^2-96x+40136\) |
2310.2.0.? |
$[(-139/2, 413/2)]$ |
333795.f1 |
333795f1 |
333795.f |
333795f |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3 \cdot 5^{3} \cdot 7 \cdot 11 \cdot 17^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$39270$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40808448$ |
$3.102718$ |
$-6965069634704502784/3424224933850875$ |
$[0, 1, 1, -11498250, 20405408804]$ |
\(y^2+y=x^3+x^2-11498250x+20405408804\) |
39270.2.0.? |
$[]$ |
333795.g1 |
333795g1 |
333795.g |
333795g |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{12} \cdot 5^{9} \cdot 7^{5} \cdot 11^{2} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$0.039375559$ |
$1$ |
|
$54$ |
$37877760$ |
$2.929443$ |
$-4212633930164198715392/2110866006498046875$ |
$[0, 1, 1, -5719950, 7190541254]$ |
\(y^2+y=x^3+x^2-5719950x+7190541254\) |
1190.2.0.? |
$[(-2484, 77962), (351, 72292)]$ |
333795.h1 |
333795h1 |
333795.h |
333795h |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 7 \cdot 11^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$0.194761642$ |
$1$ |
|
$8$ |
$4810752$ |
$1.854519$ |
$1805152587776/1312108875$ |
$[0, 1, 1, 73310, 3890194]$ |
\(y^2+y=x^3+x^2+73310x+3890194\) |
1190.2.0.? |
$[(11, 2167)]$ |
333795.i1 |
333795i2 |
333795.i |
333795i |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{10} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$78540$ |
$12$ |
$0$ |
$8.907661951$ |
$1$ |
|
$0$ |
$8355840$ |
$2.458942$ |
$1574255373137/250072515$ |
$[1, 1, 1, -1190686, -426451576]$ |
\(y^2+xy+y=x^3+x^2-1190686x-426451576\) |
2.3.0.a.1, 2244.6.0.?, 2380.6.0.?, 4620.6.0.?, 78540.12.0.? |
$[(-4067/3, 125572/3)]$ |
333795.i2 |
333795i1 |
333795.i |
333795i |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{5} \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$78540$ |
$12$ |
$0$ |
$4.453830975$ |
$1$ |
|
$3$ |
$4177920$ |
$2.112370$ |
$33792250337/3274425$ |
$[1, 1, 1, -330911, 66715364]$ |
\(y^2+xy+y=x^3+x^2-330911x+66715364\) |
2.3.0.a.1, 1122.6.0.?, 2380.6.0.?, 4620.6.0.?, 78540.12.0.? |
$[(94, 5990)]$ |
333795.j1 |
333795j1 |
333795.j |
333795j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{2} \cdot 11 \cdot 17^{11} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$78540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$52531200$ |
$3.372837$ |
$102774717221250741791041/35873574515625$ |
$[1, 1, 1, -282023546, 1822837858718]$ |
\(y^2+xy+y=x^3+x^2-282023546x+1822837858718\) |
2.3.0.a.1, 140.6.0.?, 1122.6.0.?, 78540.12.0.? |
$[]$ |
333795.j2 |
333795j2 |
333795.j |
333795j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7 \cdot 11^{2} \cdot 17^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$78540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$105062400$ |
$3.719410$ |
$-101398618530122836361041/1920990187890340875$ |
$[1, 1, 1, -280759171, 1839993404468]$ |
\(y^2+xy+y=x^3+x^2-280759171x+1839993404468\) |
2.3.0.a.1, 70.6.0.a.1, 2244.6.0.?, 78540.12.0.? |
$[]$ |
333795.k1 |
333795k6 |
333795.k |
333795k |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$314160$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$39321600$ |
$3.315742$ |
$3135316978843283198764801/571725$ |
$[1, 1, 1, -881218806, -10069075235706]$ |
\(y^2+xy+y=x^3+x^2-881218806x-10069075235706\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 42.6.0.a.1, 48.24.0.e.2, $\ldots$ |
$[]$ |
333795.k2 |
333795k4 |
333795.k |
333795k |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$157080$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$19660800$ |
$2.969170$ |
$765458482133960722801/326869475625$ |
$[1, 1, 1, -55076181, -157346478006]$ |
\(y^2+xy+y=x^3+x^2-55076181x-157346478006\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 56.24.0.h.1, 68.24.0-4.b.1.1, $\ldots$ |
$[]$ |
333795.k3 |
333795k5 |
333795.k |
333795k |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$314160$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$39321600$ |
$3.315742$ |
$-754127868744065783521/15825714261328125$ |
$[1, 1, 1, -54803076, -158983797102]$ |
\(y^2+xy+y=x^3+x^2-54803076x-158983797102\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.2, 56.24.0.bu.1, $\ldots$ |
$[]$ |
333795.k4 |
333795k3 |
333795.k |
333795k |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{24} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$314160$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$19660800$ |
$2.969170$ |
$1821931919215868881/761147600816295$ |
$[1, 1, 1, -7353611, 4044513098]$ |
\(y^2+xy+y=x^3+x^2-7353611x+4044513098\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.e.1, 56.24.0.bu.2, $\ldots$ |
$[]$ |
333795.k5 |
333795k2 |
333795.k |
333795k |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$157080$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$9830400$ |
$2.622597$ |
$189674274234120481/3859869269025$ |
$[1, 1, 1, -3459336, -2434002792]$ |
\(y^2+xy+y=x^3+x^2-3459336x-2434002792\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 56.24.0.h.2, 68.24.0-4.b.1.3, $\ldots$ |
$[]$ |
333795.k6 |
333795k1 |
333795.k |
333795k |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{8} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$314160$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4915200$ |
$2.276024$ |
$4733169839/231139696095$ |
$[1, 1, 1, 10109, -113637976]$ |
\(y^2+xy+y=x^3+x^2+10109x-113637976\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
333795.l1 |
333795l1 |
333795.l |
333795l |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3 \cdot 5^{4} \cdot 7^{2} \cdot 11 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.887062578$ |
$1$ |
|
$11$ |
$184320$ |
$0.550660$ |
$1802485313/1010625$ |
$[1, 1, 1, -431, 428]$ |
\(y^2+xy+y=x^3+x^2-431x+428\) |
2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.? |
$[(26, 74), (101, 949)]$ |
333795.l2 |
333795l2 |
333795.l |
333795l |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$0.721765644$ |
$1$ |
|
$24$ |
$368640$ |
$0.897234$ |
$109421116687/65367225$ |
$[1, 1, 1, 1694, 5528]$ |
\(y^2+xy+y=x^3+x^2+1694x+5528\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(86, 849), (1, 84)]$ |
333795.m1 |
333795m4 |
333795.m |
333795m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3 \cdot 5 \cdot 7^{4} \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8257536$ |
$2.499813$ |
$109765319621756401/363969066615$ |
$[1, 1, 1, -2882781, -1879729692]$ |
\(y^2+xy+y=x^3+x^2-2882781x-1879729692\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 60.12.0.h.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
333795.m2 |
333795m3 |
333795.m |
333795m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3 \cdot 5 \cdot 7 \cdot 11^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8257536$ |
$2.499813$ |
$104887600917094801/382630602585$ |
$[1, 1, 1, -2839431, 1834602348]$ |
\(y^2+xy+y=x^3+x^2-2839431x+1834602348\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
333795.m3 |
333795m2 |
333795.m |
333795m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4128768$ |
$2.153240$ |
$80627166849601/46649520225$ |
$[1, 1, 1, -260106, -845322]$ |
\(y^2+xy+y=x^3+x^2-260106x-845322\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 420.24.0.?, $\ldots$ |
$[]$ |
333795.m4 |
333795m1 |
333795.m |
333795m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{4} \cdot 5^{4} \cdot 7 \cdot 11^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$1.806665$ |
$1259362112399/728949375$ |
$[1, 1, 1, 65019, -65022]$ |
\(y^2+xy+y=x^3+x^2+65019x-65022\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 68.12.0-4.c.1.2, 120.12.0.?, $\ldots$ |
$[]$ |
333795.n1 |
333795n2 |
333795.n |
333795n |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{26} \cdot 5^{2} \cdot 7 \cdot 11^{5} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$78540$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$74280960$ |
$3.383991$ |
$22100929481998139979094433/71639755865687411325$ |
$[1, 1, 1, -99390421, 380275104518]$ |
\(y^2+xy+y=x^3+x^2-99390421x+380275104518\) |
2.3.0.a.1, 1020.6.0.?, 2618.6.0.?, 4620.6.0.?, 78540.12.0.? |
$[]$ |
333795.n2 |
333795n1 |
333795.n |
333795n |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{13} \cdot 5 \cdot 7^{2} \cdot 11^{10} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$78540$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$37140480$ |
$3.037418$ |
$-1019960453167729894673/10131394987524330135$ |
$[1, 1, 1, -3565076, 11040885164]$ |
\(y^2+xy+y=x^3+x^2-3565076x+11040885164\) |
2.3.0.a.1, 510.6.0.?, 4620.6.0.?, 5236.6.0.?, 78540.12.0.? |
$[]$ |
333795.o1 |
333795o8 |
333795.o |
333795o |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{2} \cdot 5 \cdot 7^{16} \cdot 11^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$209440$ |
$768$ |
$13$ |
$4.026123349$ |
$1$ |
|
$2$ |
$566231040$ |
$4.497978$ |
$23715554832417233918431091521/372220952399189104365$ |
$[1, 1, 1, -17298204826, -875683873047622]$ |
\(y^2+xy+y=x^3+x^2-17298204826x-875683873047622\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.x.2, 20.12.0-4.c.1.1, $\ldots$ |
$[(-75857, -64482)]$ |
333795.o2 |
333795o6 |
333795.o |
333795o |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 11^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$104720$ |
$768$ |
$13$ |
$2.013061674$ |
$1$ |
|
$8$ |
$283115520$ |
$4.151405$ |
$6328611043032432939084721/723183771220991613225$ |
$[1, 1, 1, -1113677401, -12815504100202]$ |
\(y^2+xy+y=x^3+x^2-1113677401x-12815504100202\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0-4.b.1.2, 40.96.0-8.k.1.7, $\ldots$ |
$[(-15962, 953733)]$ |
333795.o3 |
333795o4 |
333795.o |
333795o |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11^{4} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$104720$ |
$768$ |
$13$ |
$4.026123349$ |
$1$ |
|
$4$ |
$141557760$ |
$3.804832$ |
$88220021994562887162721/12039505273890950625$ |
$[1, 1, 1, -268027276, 1476321272348]$ |
\(y^2+xy+y=x^3+x^2-268027276x+1476321272348\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 40.96.0-8.b.2.3, 68.48.0-4.b.1.1, $\ldots$ |
$[(62696, 15171339)]$ |
333795.o4 |
333795o2 |
333795.o |
333795o |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{16} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$104720$ |
$768$ |
$13$ |
$8.052246699$ |
$1$ |
|
$2$ |
$70778880$ |
$3.458260$ |
$79185713292934220826001/1843993463645025$ |
$[1, 1, 1, -258546631, 1599994390244]$ |
\(y^2+xy+y=x^3+x^2-258546631x+1599994390244\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 40.48.0-8.i.1.3, $\ldots$ |
$[(128076/7, 332468725/7)]$ |
333795.o5 |
333795o1 |
333795.o |
333795o |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{8} \cdot 5 \cdot 7 \cdot 11 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$209440$ |
$768$ |
$13$ |
$16.10449339$ |
$1$ |
|
$1$ |
$35389440$ |
$3.111683$ |
$79184385609230668294081/42941745$ |
$[1, 1, 1, -258545186, 1600013171198]$ |
\(y^2+xy+y=x^3+x^2-258545186x+1600013171198\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.1, $\ldots$ |
$[(81219748/91, 62942944163/91)]$ |
333795.o6 |
333795o3 |
333795.o |
333795o |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{32} \cdot 5 \cdot 7 \cdot 11 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$209440$ |
$768$ |
$13$ |
$16.10449339$ |
$4$ |
$2$ |
$0$ |
$141557760$ |
$3.804832$ |
$-70809965983288820433601/12128017136035299345$ |
$[1, 1, 1, -249089106, 1722465555984]$ |
\(y^2+xy+y=x^3+x^2-249089106x+1722465555984\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0.e.1, $\ldots$ |
$[(31960009/105, 1170190454938/105)]$ |
333795.o7 |
333795o5 |
333795.o |
333795o |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{4} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \cdot 17^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$209440$ |
$768$ |
$13$ |
$8.052246699$ |
$1$ |
|
$0$ |
$283115520$ |
$4.151405$ |
$354040227097633869554159/1308633021594847265625$ |
$[1, 1, 1, 425932529, 7853256712454]$ |
\(y^2+xy+y=x^3+x^2+425932529x+7853256712454\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 68.24.0-4.d.1.1, 80.96.0.?, $\ldots$ |
$[(542011/3, 427740095/3)]$ |
333795.o8 |
333795o7 |
333795.o |
333795o |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5 \cdot 7^{4} \cdot 11^{16} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$209440$ |
$768$ |
$13$ |
$4.026123349$ |
$1$ |
|
$2$ |
$566231040$ |
$4.497978$ |
$16748323164863581359610079/84398855572864120299165$ |
$[1, 1, 1, 1540448024, -64607045993482]$ |
\(y^2+xy+y=x^3+x^2+1540448024x-64607045993482\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0-4.c.1.2, $\ldots$ |
$[(246433, 123492198)]$ |
333795.p1 |
333795p2 |
333795.p |
333795p |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$78540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4526080$ |
$2.182549$ |
$7641880721873/17325$ |
$[1, 1, 1, -2016070, -1102647418]$ |
\(y^2+xy+y=x^3+x^2-2016070x-1102647418\) |
2.3.0.a.1, 1020.6.0.?, 2618.6.0.?, 4620.6.0.?, 78540.12.0.? |
$[]$ |
333795.p2 |
333795p1 |
333795.p |
333795p |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$78540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2263040$ |
$1.835974$ |
$-1802485313/88935$ |
$[1, 1, 1, -124565, -17680150]$ |
\(y^2+xy+y=x^3+x^2-124565x-17680150\) |
2.3.0.a.1, 510.6.0.?, 4620.6.0.?, 5236.6.0.?, 78540.12.0.? |
$[]$ |
333795.q1 |
333795q3 |
333795.q |
333795q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{5} \cdot 5 \cdot 7 \cdot 11 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$157080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$26542080$ |
$3.075962$ |
$13738414862750718093409/7813807155$ |
$[1, 1, 1, -144201180, 666441728730]$ |
\(y^2+xy+y=x^3+x^2-144201180x+666441728730\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 1020.12.0.?, 2040.24.0.?, $\ldots$ |
$[]$ |
333795.q2 |
333795q4 |
333795.q |
333795q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{20} \cdot 5^{4} \cdot 7 \cdot 11 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$157080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26542080$ |
$3.075962$ |
$5942812403735964289/2852625488068125$ |
$[1, 1, 1, -10905710, 5719983662]$ |
\(y^2+xy+y=x^3+x^2-10905710x+5719983662\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 2040.24.0.?, 2618.6.0.?, 5236.24.0.?, $\ldots$ |
$[]$ |
333795.q3 |
333795q2 |
333795.q |
333795q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$78540$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$13271040$ |
$2.729389$ |
$3355926792835277809/2529483489225$ |
$[1, 1, 1, -9014205, 10406376450]$ |
\(y^2+xy+y=x^3+x^2-9014205x+10406376450\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 1020.24.0.?, 4620.24.0.?, 5236.24.0.?, $\ldots$ |
$[]$ |
333795.q4 |
333795q1 |
333795.q |
333795q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{5} \cdot 5 \cdot 7^{4} \cdot 11^{4} \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$157080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6635520$ |
$2.382816$ |
$-408667158311329/726086061855$ |
$[1, 1, 1, -446800, 231726272]$ |
\(y^2+xy+y=x^3+x^2-446800x+231726272\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 510.6.0.?, 1020.24.0.?, 9240.24.0.?, $\ldots$ |
$[]$ |
333795.r1 |
333795r1 |
333795.r |
333795r |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1540$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1703808$ |
$1.719124$ |
$-289/3465$ |
$[1, 1, 1, -1740, -4022010]$ |
\(y^2+xy+y=x^3+x^2-1740x-4022010\) |
1540.2.0.? |
$[]$ |
333795.s1 |
333795s1 |
333795.s |
333795s |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1540$ |
$2$ |
$0$ |
$3.382148566$ |
$1$ |
|
$2$ |
$100224$ |
$0.302518$ |
$-289/3465$ |
$[1, 0, 0, -6, -819]$ |
\(y^2+xy=x^3-6x-819\) |
1540.2.0.? |
$[(23, 95)]$ |
333795.t1 |
333795t3 |
333795.t |
333795t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3 \cdot 5^{7} \cdot 7^{4} \cdot 11^{4} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$17.03093377$ |
$1$ |
|
$0$ |
$5747245056$ |
$5.511009$ |
$677900562155526557965887564740855281/688129016568984375$ |
$[1, 0, 0, -5289061335261, 4681833639845234466]$ |
\(y^2+xy=x^3-5289061335261x+4681833639845234466\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 60.12.0.h.1, 68.12.0-4.c.1.2, $\ldots$ |
$[(814064191666/783, -337689522298304/783)]$ |
333795.t2 |
333795t2 |
333795.t |
333795t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{14} \cdot 7^{2} \cdot 11^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$8.515466887$ |
$1$ |
|
$2$ |
$2873622528$ |
$5.164429$ |
$165503186990359317237822572105281/166746978909722900390625$ |
$[1, 0, 0, -330566413386, 73153592815625091]$ |
\(y^2+xy=x^3-330566413386x+73153592815625091\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 420.24.0.?, $\ldots$ |
$[(5618811/5, 12617180169/5)]$ |
333795.t3 |
333795t4 |
333795.t |
333795t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( - 3^{4} \cdot 5^{28} \cdot 7 \cdot 11^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$17.03093377$ |
$1$ |
|
$0$ |
$5747245056$ |
$5.511009$ |
$-161750497293247760285958712371601/5257300995290279388427734375$ |
$[1, 0, 0, -328048820231, 74322692080680120]$ |
\(y^2+xy=x^3-328048820231x+74322692080680120\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 68.12.0-4.c.1.1, 120.12.0.?, $\ldots$ |
$[(4824413176/145, 321276426686116/145)]$ |
333795.t4 |
333795t1 |
333795.t |
333795t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3 \cdot 5^{7} \cdot 7 \cdot 11^{16} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$17.03093377$ |
$1$ |
|
$1$ |
$1436811264$ |
$4.817856$ |
$41336773804526931803116341361/1281566684476192302890625$ |
$[1, 0, 0, -20817830341, 1124719264057400]$ |
\(y^2+xy=x^3-20817830341x+1124719264057400\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[(1002664861/135, 29653775271604/135)]$ |
333795.u1 |
333795u6 |
333795.u |
333795u |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7 \cdot 11^{8} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$104720$ |
$192$ |
$1$ |
$4.594382862$ |
$1$ |
|
$0$ |
$66060288$ |
$3.431232$ |
$234933551390769872069521/51655131348975$ |
$[1, 0, 0, -371510951, -2756197530894]$ |
\(y^2+xy=x^3-371510951x-2756197530894\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 40.24.0-8.n.1.7, $\ldots$ |
$[(95347/2, 11024795/2)]$ |
333795.u2 |
333795u3 |
333795.u |
333795u |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$104720$ |
$192$ |
$1$ |
$9.188765724$ |
$1$ |
|
$0$ |
$33030144$ |
$3.084660$ |
$249190794200766398401/169196996731455$ |
$[1, 0, 0, -37887906, 89707511205]$ |
\(y^2+xy=x^3-37887906x+89707511205\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 68.12.0-4.c.1.2, 80.24.0.?, $\ldots$ |
$[(22959/2, 1958445/2)]$ |
333795.u3 |
333795u4 |
333795.u |
333795u |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 11^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$52360$ |
$192$ |
$1$ |
$2.297191431$ |
$1$ |
|
$6$ |
$33030144$ |
$3.084660$ |
$57971431973034407521/850187506100625$ |
$[1, 0, 0, -23302076, -42745051569]$ |
\(y^2+xy=x^3-23302076x-42745051569\) |
2.6.0.a.1, 4.12.0.b.1, 28.24.0-4.b.1.2, 40.24.0-4.b.1.2, 68.24.0-4.b.1.1, $\ldots$ |
$[(-2834, 24517)]$ |