| 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 |
| 8085.a1 |
8085i1 |
8085.a |
8085i |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{5} \cdot 5^{11} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$63360$ |
$1.670794$ |
$1409995418369929216/15792626953125$ |
$1.01542$ |
$5.07703$ |
$[0, -1, 1, -85486, 9555342]$ |
\(y^2+y=x^3-x^2-85486x+9555342\) |
330.2.0.? |
$[]$ |
| 8085.b1 |
8085j2 |
8085.b |
8085j |
$2$ |
$5$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5 \cdot 7^{7} \cdot 11^{15} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2310$ |
$48$ |
$1$ |
$0.710078067$ |
$1$ |
|
$2$ |
$1440000$ |
$3.037437$ |
$-2126464142970105856/438611057788643355$ |
$1.07125$ |
$6.64113$ |
$[0, -1, 1, -1312726, 10945050906]$ |
\(y^2+y=x^3-x^2-1312726x+10945050906\) |
5.12.0.a.2, 35.24.0-5.a.2.2, 330.24.0.?, 2310.48.1.? |
$[(14775, 1793522)]$ |
| 8085.b2 |
8085j1 |
8085.b |
8085j |
$2$ |
$5$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{5} \cdot 5^{5} \cdot 7^{11} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2310$ |
$48$ |
$1$ |
$3.550390339$ |
$1$ |
|
$2$ |
$288000$ |
$2.232719$ |
$-79028701534867456/16987307596875$ |
$0.98847$ |
$5.65695$ |
$[0, -1, 1, -438076, -130549434]$ |
\(y^2+y=x^3-x^2-438076x-130549434\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 330.24.0.?, 2310.48.1.? |
$[(810, 6737)]$ |
| 8085.c1 |
8085m1 |
8085.c |
8085m |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{7} \cdot 5 \cdot 7^{7} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$0.969324$ |
$-222985990144/841995$ |
$0.89082$ |
$4.20241$ |
$[0, -1, 1, -6190, -186012]$ |
\(y^2+y=x^3-x^2-6190x-186012\) |
2310.2.0.? |
$[]$ |
| 8085.d1 |
8085o1 |
8085.d |
8085o |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{3} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1.901388542$ |
$1$ |
|
$2$ |
$6912$ |
$0.507769$ |
$-4096/28875$ |
$0.93381$ |
$3.26759$ |
$[0, 1, 1, -16, -2810]$ |
\(y^2+y=x^3+x^2-16x-2810\) |
2310.2.0.? |
$[(37, 220)]$ |
| 8085.e1 |
8085t1 |
8085.e |
8085t |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{5} \cdot 5^{11} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$0.161099368$ |
$1$ |
|
$10$ |
$443520$ |
$2.643749$ |
$1409995418369929216/15792626953125$ |
$1.01542$ |
$6.37463$ |
$[0, 1, 1, -4188830, -3269104744]$ |
\(y^2+y=x^3+x^2-4188830x-3269104744\) |
330.2.0.? |
$[(-1160, 5512)]$ |
| 8085.f1 |
8085g5 |
8085.f |
8085g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$2.872093$ |
$3135316978843283198764801/571725$ |
$1.03024$ |
$7.56635$ |
$[1, 1, 1, -149410801, 702882354698]$ |
\(y^2+xy+y=x^3+x^2-149410801x+702882354698\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.4, $\ldots$ |
$[]$ |
| 8085.f2 |
8085g4 |
8085.f |
8085g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$184320$ |
$2.525520$ |
$765458482133960722801/326869475625$ |
$1.00564$ |
$6.64192$ |
$[1, 1, 1, -9338176, 10979616248]$ |
\(y^2+xy+y=x^3+x^2-9338176x+10979616248\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.2, 24.48.0-24.i.1.31, $\ldots$ |
$[]$ |
| 8085.f3 |
8085g6 |
8085.f |
8085g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$2.872093$ |
$-754127868744065783521/15825714261328125$ |
$1.00596$ |
$6.64422$ |
$[1, 1, 1, -9291871, 11093952554]$ |
\(y^2+xy+y=x^3+x^2-9291871x+11093952554\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.2, 24.48.0-24.bz.2.10, $\ldots$ |
$[]$ |
| 8085.f4 |
8085g3 |
8085.f |
8085g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{24} \cdot 5 \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$184320$ |
$2.525520$ |
$1821931919215868881/761147600816295$ |
$0.99769$ |
$5.97058$ |
$[1, 1, 1, -1246806, -283100196]$ |
\(y^2+xy+y=x^3+x^2-1246806x-283100196\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 28.12.0-4.c.1.2, 48.48.0-48.e.1.25, $\ldots$ |
$[]$ |
| 8085.f5 |
8085g2 |
8085.f |
8085g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{12} \cdot 5^{2} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$92160$ |
$2.178944$ |
$189674274234120481/3859869269025$ |
$0.97318$ |
$5.71915$ |
$[1, 1, 1, -586531, 169584344]$ |
\(y^2+xy+y=x^3+x^2-586531x+169584344\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.i.2.6, 28.24.0-4.b.1.3, $\ldots$ |
$[]$ |
| 8085.f6 |
8085g1 |
8085.f |
8085g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{6} \cdot 5 \cdot 7^{14} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.832371$ |
$4733169839/231139696095$ |
$1.05127$ |
$5.03419$ |
$[1, 1, 1, 1714, 7934618]$ |
\(y^2+xy+y=x^3+x^2+1714x+7934618\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0.bz.1, $\ldots$ |
$[]$ |
| 8085.g1 |
8085p5 |
8085.g |
8085p |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{14} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$1.986822$ |
$257260669489908001/14267882475$ |
$0.97416$ |
$5.75302$ |
$[1, 0, 0, -649251, 201293406]$ |
\(y^2+xy=x^3-649251x+201293406\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.6, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 8085.g2 |
8085p3 |
8085.g |
8085p |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$49152$ |
$1.640247$ |
$74093292126001/14707625625$ |
$0.93522$ |
$4.84696$ |
$[1, 0, 0, -42876, 2766231]$ |
\(y^2+xy=x^3-42876x+2766231\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 28.24.0-4.b.1.1, 44.24.0.c.1, $\ldots$ |
$[]$ |
| 8085.g3 |
8085p2 |
8085.g |
8085p |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$24576$ |
$1.293674$ |
$2177286259681/161417025$ |
$0.90617$ |
$4.45495$ |
$[1, 0, 0, -13231, -548080]$ |
\(y^2+xy=x^3-13231x-548080\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 28.24.0-4.b.1.3, 56.48.0-56.i.1.2, $\ldots$ |
$[]$ |
| 8085.g4 |
8085p1 |
8085.g |
8085p |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3 \cdot 5 \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12288$ |
$0.947101$ |
$2058561081361/12705$ |
$0.90375$ |
$4.44871$ |
$[1, 0, 0, -12986, -570669]$ |
\(y^2+xy=x^3-12986x-570669\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 8085.g5 |
8085p4 |
8085.g |
8085p |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5 \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$49152$ |
$1.640247$ |
$1833318007919/22507682505$ |
$0.95463$ |
$4.76996$ |
$[1, 0, 0, 12494, -2415715]$ |
\(y^2+xy=x^3+12494x-2415715\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 28.12.0-4.c.1.2, 56.48.0-56.bv.1.4, $\ldots$ |
$[]$ |
| 8085.g6 |
8085p6 |
8085.g |
8085p |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$1.986822$ |
$666688497209279/1381398046875$ |
$0.96578$ |
$5.19649$ |
$[1, 0, 0, 89179, 16473540]$ |
\(y^2+xy=x^3+89179x+16473540\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 22.6.0.a.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 8085.h1 |
8085w3 |
8085.h |
8085w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3 \cdot 5 \cdot 7^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$18432$ |
$1.243101$ |
$75627935783569/396165$ |
$0.92963$ |
$4.84924$ |
$[1, 0, 0, -43170, -3455985]$ |
\(y^2+xy=x^3-43170x-3455985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 8085.h2 |
8085w2 |
8085.h |
8085w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9216$ |
$0.896527$ |
$19443408769/1334025$ |
$0.86386$ |
$3.93056$ |
$[1, 0, 0, -2745, -52200]$ |
\(y^2+xy=x^3-2745x-52200\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 660.24.0.?, 1540.24.0.?, $\ldots$ |
$[]$ |
| 8085.h3 |
8085w1 |
8085.h |
8085w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5 \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$0.549953$ |
$148035889/31185$ |
$0.93780$ |
$3.38844$ |
$[1, 0, 0, -540, 3807]$ |
\(y^2+xy=x^3-540x+3807\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 770.6.0.?, 1320.24.0.?, $\ldots$ |
$[]$ |
| 8085.h4 |
8085w4 |
8085.h |
8085w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{4} \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.243101$ |
$12994449551/192163125$ |
$0.92267$ |
$4.24151$ |
$[1, 0, 0, 2400, -224043]$ |
\(y^2+xy=x^3+2400x-224043\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 84.24.0.?, 1320.24.0.?, 3080.24.0.?, $\ldots$ |
$[]$ |
| 8085.i1 |
8085b1 |
8085.i |
8085b |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3 \cdot 5 \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$0.855603$ |
$12845056/165$ |
$0.88229$ |
$3.98183$ |
$[0, -1, 1, -3201, -67873]$ |
\(y^2+y=x^3-x^2-3201x-67873\) |
330.2.0.? |
$[]$ |
| 8085.j1 |
8085c2 |
8085.j |
8085c |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$77760$ |
$1.990669$ |
$-11947588428895092736/2118439154286675$ |
$1.06484$ |
$5.34423$ |
$[0, -1, 1, -174281, 32066306]$ |
\(y^2+y=x^3-x^2-174281x+32066306\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.2, 42.16.0-6.b.1.2 |
$[]$ |
| 8085.j2 |
8085c1 |
8085.j |
8085c |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{9} \cdot 5^{6} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$1.441364$ |
$7196694080651264/4502793796875$ |
$1.07999$ |
$4.49047$ |
$[0, -1, 1, 14719, -200719]$ |
\(y^2+y=x^3-x^2+14719x-200719\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.1, 42.16.0-6.b.1.1 |
$[]$ |
| 8085.k1 |
8085d1 |
8085.k |
8085d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{7} \cdot 5^{7} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37632$ |
$1.602911$ |
$17869652393984/13156171875$ |
$0.98585$ |
$4.68890$ |
$[0, -1, 1, 26689, -884458]$ |
\(y^2+y=x^3-x^2+26689x-884458\) |
2310.2.0.? |
$[]$ |
| 8085.l1 |
8085a1 |
8085.l |
8085a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{7} \cdot 5^{5} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23520$ |
$1.503078$ |
$161702969344/75178125$ |
$0.97324$ |
$4.59851$ |
$[0, -1, 1, -20351, -488734]$ |
\(y^2+y=x^3-x^2-20351x-488734\) |
330.2.0.? |
$[]$ |
| 8085.m1 |
8085k2 |
8085.m |
8085k |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{3} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$0.582410155$ |
$1$ |
|
$4$ |
$20736$ |
$1.296305$ |
$-65860951343104/3493875$ |
$0.98707$ |
$4.83388$ |
$[0, -1, 1, -41225, 3235658]$ |
\(y^2+y=x^3-x^2-41225x+3235658\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 330.8.0.?, 2310.16.0.? |
$[(124, 122)]$ |
| 8085.m2 |
8085k1 |
8085.m |
8085k |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{3} \cdot 5 \cdot 7^{9} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$1.747230465$ |
$1$ |
|
$4$ |
$6912$ |
$0.747000$ |
$-262144/509355$ |
$1.02966$ |
$3.58660$ |
$[0, -1, 1, -65, 11801]$ |
\(y^2+y=x^3-x^2-65x+11801\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 330.8.0.?, 2310.16.0.? |
$[(-23, 24)]$ |
| 8085.n1 |
8085r2 |
8085.n |
8085r |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$2.746559608$ |
$1$ |
|
$0$ |
$544320$ |
$2.963623$ |
$-11947588428895092736/2118439154286675$ |
$1.06484$ |
$6.64183$ |
$[0, 1, 1, -8539785, -10981663486]$ |
\(y^2+y=x^3+x^2-8539785x-10981663486\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[(89589/2, 26573411/2)]$ |
| 8085.n2 |
8085r1 |
8085.n |
8085r |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{9} \cdot 5^{6} \cdot 7^{8} \cdot 11^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$0.915519869$ |
$1$ |
|
$10$ |
$181440$ |
$2.414318$ |
$7196694080651264/4502793796875$ |
$1.07999$ |
$5.78807$ |
$[0, 1, 1, 721215, 67404089]$ |
\(y^2+y=x^3+x^2+721215x+67404089\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[(531, 24502)]$ |
| 8085.o1 |
8085q1 |
8085.o |
8085q |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3 \cdot 5 \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$1.485302373$ |
$1$ |
|
$2$ |
$960$ |
$-0.117352$ |
$12845056/165$ |
$0.88229$ |
$2.68423$ |
$[0, 1, 1, -65, 179]$ |
\(y^2+y=x^3+x^2-65x+179\) |
330.2.0.? |
$[(3, 4)]$ |
| 8085.p1 |
8085z1 |
8085.p |
8085z |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{7} \cdot 5^{5} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$330$ |
$2$ |
$0$ |
$0.100894638$ |
$1$ |
|
$8$ |
$3360$ |
$0.530124$ |
$161702969344/75178125$ |
$0.97324$ |
$3.30091$ |
$[0, 1, 1, -415, 1306]$ |
\(y^2+y=x^3+x^2-415x+1306\) |
330.2.0.? |
$[(-10, 67)]$ |
| 8085.q1 |
8085y1 |
8085.q |
8085y |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{5} \cdot 5 \cdot 7^{7} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$0.379512533$ |
$1$ |
|
$4$ |
$19200$ |
$1.410173$ |
$-250523582464/1369738755$ |
$0.96787$ |
$4.47541$ |
$[0, 1, 1, -6435, -644416]$ |
\(y^2+y=x^3+x^2-6435x-644416\) |
2310.2.0.? |
$[(198, 2425)]$ |
| 8085.r1 |
8085f3 |
8085.r |
8085f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{10} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$2.716244$ |
$21026497979043461623321/161783881875$ |
$1.01625$ |
$7.01013$ |
$[1, 1, 0, -28175858, -57577447563]$ |
\(y^2+xy=x^3+x^2-28175858x-57577447563\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 44.12.0.h.1, $\ldots$ |
$[]$ |
| 8085.r2 |
8085f2 |
8085.r |
8085f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1540$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$184320$ |
$2.369671$ |
$5143681768032498601/14238434358225$ |
$0.98713$ |
$6.08593$ |
$[1, 1, 0, -1762163, -898940832]$ |
\(y^2+xy=x^3+x^2-1762163x-898940832\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 44.12.0.a.1, 140.24.0.?, $\ldots$ |
$[]$ |
| 8085.r3 |
8085f4 |
8085.r |
8085f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{4} \cdot 5 \cdot 7^{7} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$2.716244$ |
$-1143792273008057401/8897444448004035$ |
$1.01190$ |
$6.21560$ |
$[1, 1, 0, -1067588, -1613936337]$ |
\(y^2+xy=x^3+x^2-1067588x-1613936337\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 8085.r4 |
8085f1 |
8085.r |
8085f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{16} \cdot 5 \cdot 7^{7} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$2.023098$ |
$3481467828171481/2005331497785$ |
$1.02588$ |
$5.27483$ |
$[1, 1, 0, -154718, -1665033]$ |
\(y^2+xy=x^3+x^2-154718x-1665033\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[]$ |
| 8085.s1 |
8085e1 |
8085.s |
8085e |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.116445$ |
$2336752783/12375$ |
$0.87180$ |
$3.04628$ |
$[1, 1, 0, -193, -1112]$ |
\(y^2+xy=x^3+x^2-193x-1112\) |
2.3.0.a.1, 84.6.0.?, 660.6.0.?, 770.6.0.?, 4620.12.0.? |
$[]$ |
| 8085.s2 |
8085e2 |
8085.s |
8085e |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.463019$ |
$-223648543/5671875$ |
$0.93252$ |
$3.20813$ |
$[1, 1, 0, -88, -2183]$ |
\(y^2+xy=x^3+x^2-88x-2183\) |
2.3.0.a.1, 84.6.0.?, 660.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[]$ |
| 8085.t1 |
8085l4 |
8085.t |
8085l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5 \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.336548$ |
$957681397954009/31185$ |
$0.94531$ |
$5.13138$ |
$[1, 1, 0, -100622, 12243519]$ |
\(y^2+xy=x^3+x^2-100622x+12243519\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 120.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
| 8085.t2 |
8085l3 |
8085.t |
8085l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3 \cdot 5 \cdot 7^{10} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.336548$ |
$932288503609/527295615$ |
$0.95635$ |
$4.36068$ |
$[1, 1, 0, -9972, -61851]$ |
\(y^2+xy=x^3+x^2-9972x-61851\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0.h.1, 84.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
| 8085.t3 |
8085l2 |
8085.t |
8085l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9216$ |
$0.989973$ |
$234770924809/1334025$ |
$0.88577$ |
$4.20742$ |
$[1, 1, 0, -6297, 188784]$ |
\(y^2+xy=x^3+x^2-6297x+188784\) |
2.6.0.a.1, 44.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
| 8085.t4 |
8085l1 |
8085.t |
8085l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{4} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.643400$ |
$-4826809/144375$ |
$0.96833$ |
$3.44858$ |
$[1, 1, 0, -172, 6259]$ |
\(y^2+xy=x^3+x^2-172x+6259\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 84.12.0.?, 120.12.0.?, $\ldots$ |
$[]$ |
| 8085.u1 |
8085n3 |
8085.u |
8085n |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{12} \cdot 7^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$4.111801264$ |
$1$ |
|
$0$ |
$221184$ |
$2.488430$ |
$981281029968144361/522287841796875$ |
$1.01026$ |
$5.90181$ |
$[1, 0, 1, -1014424, 111333191]$ |
\(y^2+xy+y=x^3-1014424x+111333191\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 44.12.0.h.1, $\ldots$ |
$[(5371/2, 268339/2)]$ |
| 8085.u2 |
8085n2 |
8085.u |
8085n |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1540$ |
$48$ |
$0$ |
$2.055900632$ |
$1$ |
|
$6$ |
$110592$ |
$2.141857$ |
$474334834335054841/607815140625$ |
$0.97695$ |
$5.82102$ |
$[1, 0, 1, -796129, 273046127]$ |
\(y^2+xy+y=x^3-796129x+273046127\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 44.12.0.a.1, 140.24.0.?, $\ldots$ |
$[(1, 16499)]$ |
| 8085.u3 |
8085n1 |
8085.u |
8085n |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{4} \cdot 5^{3} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$4.111801264$ |
$1$ |
|
$3$ |
$55296$ |
$1.795284$ |
$473897054735271721/779625$ |
$0.97692$ |
$5.82091$ |
$[1, 0, 1, -795884, 273222821]$ |
\(y^2+xy+y=x^3-795884x+273222821\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[(579, 2278)]$ |
| 8085.u4 |
8085n4 |
8085.u |
8085n |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3^{16} \cdot 5^{3} \cdot 7^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1.027950316$ |
$1$ |
|
$4$ |
$221184$ |
$2.488430$ |
$-185077034913624841/551466161890875$ |
$0.99497$ |
$5.91828$ |
$[1, 0, 1, -581754, 423451627]$ |
\(y^2+xy+y=x^3-581754x+423451627\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[(-577, 24102)]$ |
| 8085.v1 |
8085v1 |
8085.v |
8085v |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 3^{2} \cdot 5^{3} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13440$ |
$1.089399$ |
$2336752783/12375$ |
$0.87180$ |
$4.34388$ |
$[1, 0, 1, -9483, 352993]$ |
\(y^2+xy+y=x^3-9483x+352993\) |
2.3.0.a.1, 84.6.0.?, 660.6.0.?, 770.6.0.?, 4620.12.0.? |
$[]$ |
| 8085.v2 |
8085v2 |
8085.v |
8085v |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 3 \cdot 5^{6} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.435974$ |
$-223648543/5671875$ |
$0.93252$ |
$4.50573$ |
$[1, 0, 1, -4338, 735781]$ |
\(y^2+xy+y=x^3-4338x+735781\) |
2.3.0.a.1, 84.6.0.?, 660.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[]$ |
