| 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 |
| 8820.a1 |
8820r1 |
8820.a |
8820r |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1260$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$90720$ |
$1.971649$ |
$-177953104/125$ |
$0.92344$ |
$5.56912$ |
$[0, 0, 0, -439383, 112169918]$ |
\(y^2=x^3-439383x+112169918\) |
3.4.0.a.1, 9.12.0.b.1, 20.2.0.a.1, 21.8.0-3.a.1.2, 60.8.0.a.1, $\ldots$ |
$[]$ |
| 8820.a2 |
8820r2 |
8820.a |
8820r |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1260$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$272160$ |
$2.520954$ |
$161017136/1953125$ |
$1.00966$ |
$5.88751$ |
$[0, 0, 0, 424977, 476411222]$ |
\(y^2=x^3+424977x+476411222\) |
3.4.0.a.1, 9.12.0.b.1, 20.2.0.a.1, 21.8.0-3.a.1.1, 60.8.0.a.1, $\ldots$ |
$[]$ |
| 8820.b1 |
8820s3 |
8820.b |
8820s |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$82944$ |
$1.877462$ |
$189123395584/16078125$ |
$1.04346$ |
$5.17408$ |
$[0, 0, 0, -132888, -17221687]$ |
\(y^2=x^3-132888x-17221687\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 20.6.0.b.1, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 8820.b2 |
8820s1 |
8820.b |
8820s |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.328157$ |
$1594753024/4725$ |
$1.00209$ |
$4.64840$ |
$[0, 0, 0, -27048, 1707797]$ |
\(y^2=x^3-27048x+1707797\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 20.6.0.b.1, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 8820.b3 |
8820s2 |
8820.b |
8820s |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.674730$ |
$-20720464/178605$ |
$0.91232$ |
$4.77997$ |
$[0, 0, 0, -16023, 3112382]$ |
\(y^2=x^3-16023x+3112382\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 20.6.0.a.1, $\ldots$ |
$[]$ |
| 8820.b4 |
8820s4 |
8820.b |
8820s |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$2.224037$ |
$14647977776/132355125$ |
$0.97903$ |
$5.49291$ |
$[0, 0, 0, 142737, -79347562]$ |
\(y^2=x^3+142737x-79347562\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 20.6.0.a.1, $\ldots$ |
$[]$ |
| 8820.c1 |
8820c2 |
8820.c |
8820c |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.646959574$ |
$1$ |
|
$9$ |
$9216$ |
$0.954027$ |
$10536048/245$ |
$0.87480$ |
$4.03827$ |
$[0, 0, 0, -4263, 104958]$ |
\(y^2=x^3-4263x+104958\) |
2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.? |
$[(63, 294)]$ |
| 8820.c2 |
8820c1 |
8820.c |
8820c |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.323479787$ |
$1$ |
|
$11$ |
$4608$ |
$0.607454$ |
$442368/175$ |
$1.03704$ |
$3.38410$ |
$[0, 0, 0, -588, -3087]$ |
\(y^2=x^3-588x-3087\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.? |
$[(-14, 49)]$ |
| 8820.d1 |
8820d1 |
8820.d |
8820d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$840$ |
$48$ |
$1$ |
$3.598398497$ |
$1$ |
|
$3$ |
$32256$ |
$1.615305$ |
$3538944/25$ |
$1.07666$ |
$4.98115$ |
$[0, 0, 0, -74088, 7714413]$ |
\(y^2=x^3-74088x+7714413\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bv.1, 40.12.0.cb.1, 42.6.0.a.1, $\ldots$ |
$[(1519, 58310)]$ |
| 8820.d2 |
8820d2 |
8820.d |
8820d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$840$ |
$48$ |
$1$ |
$7.196796995$ |
$1$ |
|
$1$ |
$64512$ |
$1.961880$ |
$-11664/625$ |
$0.94491$ |
$5.15688$ |
$[0, 0, 0, -27783, 17243982]$ |
\(y^2=x^3-27783x+17243982\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bs.1, 40.12.0.cb.1, 56.12.0.br.1, $\ldots$ |
$[(6049/2, 468775/2)]$ |
| 8820.e1 |
8820m2 |
8820.e |
8820m |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$2.658482$ |
$16129950234928/455625$ |
$1.00848$ |
$6.61125$ |
$[0, 0, 0, -10317783, -12756076018]$ |
\(y^2=x^3-10317783x-12756076018\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[]$ |
| 8820.e2 |
8820m1 |
8820.e |
8820m |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$2.311905$ |
$70954958848/10546875$ |
$1.05543$ |
$5.70875$ |
$[0, 0, 0, -670908, -182339143]$ |
\(y^2=x^3-670908x-182339143\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
| 8820.f1 |
8820n1 |
8820.f |
8820n |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{13} \cdot 5^{10} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$322560$ |
$2.600971$ |
$463030539649024/149501953125$ |
$1.09373$ |
$6.03301$ |
$[0, 0, 0, -1791048, 613413997]$ |
\(y^2=x^3-1791048x+613413997\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[]$ |
| 8820.f2 |
8820n2 |
8820.f |
8820n |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{20} \cdot 5^{5} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$645120$ |
$2.947544$ |
$667990736021936/732392128125$ |
$1.01829$ |
$6.37854$ |
$[0, 0, 0, 5099577, 4192404622]$ |
\(y^2=x^3+5099577x+4192404622\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 8820.g1 |
8820j3 |
8820.g |
8820j |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$12960$ |
$1.141617$ |
$488095744/125$ |
$1.07376$ |
$4.51808$ |
$[0, 0, 0, -18228, -947023]$ |
\(y^2=x^3-18228x-947023\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[]$ |
| 8820.g2 |
8820j4 |
8820.g |
8820j |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$25920$ |
$1.488192$ |
$-20720464/15625$ |
$0.95894$ |
$4.56733$ |
$[0, 0, 0, -16023, -1184722]$ |
\(y^2=x^3-16023x-1184722\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
| 8820.g3 |
8820j1 |
8820.g |
8820j |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$4320$ |
$0.592311$ |
$16384/5$ |
$0.95621$ |
$3.38410$ |
$[0, 0, 0, -588, 3773]$ |
\(y^2=x^3-588x+3773\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[]$ |
| 8820.g4 |
8820j2 |
8820.g |
8820j |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$8640$ |
$0.938885$ |
$21296/25$ |
$0.83964$ |
$3.72125$ |
$[0, 0, 0, 1617, 25382]$ |
\(y^2=x^3+1617x+25382\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
| 8820.h1 |
8820a4 |
8820.h |
8820a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 7^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$7.629165477$ |
$1$ |
|
$1$ |
$82944$ |
$2.059582$ |
$1210991472/588245$ |
$0.94526$ |
$5.28608$ |
$[0, 0, 0, -186543, 12428262]$ |
\(y^2=x^3-186543x+12428262\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 21.8.0-3.a.1.2, $\ldots$ |
$[(-479/2, 45991/2)]$ |
| 8820.h2 |
8820a3 |
8820.h |
8820a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$3.814582738$ |
$1$ |
|
$3$ |
$41472$ |
$1.713007$ |
$10788913152/8575$ |
$1.01350$ |
$5.22163$ |
$[0, 0, 0, -153468, 23124717]$ |
\(y^2=x^3-153468x+23124717\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 21.8.0-3.a.1.2, 42.48.0-42.c.1.2, $\ldots$ |
$[(211, 370)]$ |
| 8820.h3 |
8820a2 |
8820.h |
8820a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$2.543055159$ |
$1$ |
|
$5$ |
$27648$ |
$1.510275$ |
$129348709488/6125$ |
$1.24179$ |
$5.07467$ |
$[0, 0, 0, -98343, -11869858]$ |
\(y^2=x^3-98343x-11869858\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 21.8.0-3.a.1.1, $\ldots$ |
$[(-181, 22)]$ |
| 8820.h4 |
8820a1 |
8820.h |
8820a |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1.271527579$ |
$1$ |
|
$7$ |
$13824$ |
$1.163702$ |
$588791808/109375$ |
$0.99350$ |
$4.17594$ |
$[0, 0, 0, -6468, -164983]$ |
\(y^2=x^3-6468x-164983\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 21.8.0-3.a.1.1, 42.48.0-42.c.1.1, $\ldots$ |
$[(-56, 147)]$ |
| 8820.i1 |
8820k1 |
8820.i |
8820k |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$1.294151$ |
$8192/5$ |
$0.91737$ |
$4.25558$ |
$[0, 0, 0, 8232, -67228]$ |
\(y^2=x^3+8232x-67228\) |
70.2.0.a.1 |
$[]$ |
| 8820.j1 |
8820i1 |
8820.j |
8820i |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.262012285$ |
$1$ |
|
$6$ |
$32256$ |
$1.616686$ |
$57344/1875$ |
$1.00725$ |
$4.69768$ |
$[0, 0, 0, 8232, -2141692]$ |
\(y^2=x^3+8232x-2141692\) |
6.2.0.a.1 |
$[(784, 22050)]$ |
| 8820.k1 |
8820l1 |
8820.k |
8820l |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2016$ |
$0.160720$ |
$-3024/5$ |
$0.61638$ |
$2.79511$ |
$[0, 0, 0, -63, -378]$ |
\(y^2=x^3-63x-378\) |
20.2.0.a.1 |
$[]$ |
| 8820.l1 |
8820o1 |
8820.l |
8820o |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$0.901299$ |
$-1007878144/6075$ |
$1.02340$ |
$4.04745$ |
$[0, 0, 0, -4368, -111692]$ |
\(y^2=x^3-4368x-111692\) |
6.2.0.a.1 |
$[]$ |
| 8820.m1 |
8820b1 |
8820.m |
8820b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$840$ |
$48$ |
$1$ |
$0.274312200$ |
$1$ |
|
$11$ |
$1536$ |
$0.093044$ |
$3538944/25$ |
$1.07666$ |
$2.97041$ |
$[0, 0, 0, -168, 833]$ |
\(y^2=x^3-168x+833\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bv.1, 40.12.0.cb.1, 42.6.0.a.1, $\ldots$ |
$[(4, 15)]$ |
| 8820.m2 |
8820b2 |
8820.m |
8820b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$840$ |
$48$ |
$1$ |
$0.548624401$ |
$1$ |
|
$9$ |
$3072$ |
$0.439618$ |
$-11664/625$ |
$0.94491$ |
$3.14614$ |
$[0, 0, 0, -63, 1862]$ |
\(y^2=x^3-63x+1862\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bs.1, 40.12.0.cb.1, 56.12.0.br.1, $\ldots$ |
$[(7, 42)]$ |
| 8820.n1 |
8820p1 |
8820.n |
8820p |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.611195$ |
$14155776/84035$ |
$1.21697$ |
$4.67854$ |
$[0, 0, 0, 14112, 1963332]$ |
\(y^2=x^3+14112x+1963332\) |
70.2.0.a.1 |
$[]$ |
| 8820.o1 |
8820q2 |
8820.o |
8820q |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.383261$ |
$4253563312/1476225$ |
$1.06962$ |
$4.41900$ |
$[0, 0, 0, -13503, 382102]$ |
\(y^2=x^3-13503x+382102\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[]$ |
| 8820.o2 |
8820q1 |
8820.o |
8820q |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{4} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.036686$ |
$4927700992/151875$ |
$1.15773$ |
$4.13000$ |
$[0, 0, 0, -5628, -158123]$ |
\(y^2=x^3-5628x-158123\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
| 8820.p1 |
8820v1 |
8820.p |
8820v |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.4 |
3B.1.2 |
$1260$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$12960$ |
$0.998693$ |
$-177953104/125$ |
$0.92344$ |
$4.28395$ |
$[0, 0, 0, -8967, -327026]$ |
\(y^2=x^3-8967x-327026\) |
3.8.0-3.a.1.1, 9.24.0-9.b.1.1, 20.2.0.a.1, 60.16.0-60.a.1.5, 63.72.0-63.h.2.2, $\ldots$ |
$[]$ |
| 8820.p2 |
8820v2 |
8820.p |
8820v |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 7^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.2 |
3B.1.1 |
$1260$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$38880$ |
$1.548000$ |
$161017136/1953125$ |
$1.00966$ |
$4.60234$ |
$[0, 0, 0, 8673, -1388954]$ |
\(y^2=x^3+8673x-1388954\) |
3.8.0-3.a.1.2, 9.24.0-9.b.1.2, 20.2.0.a.1, 60.16.0-60.a.1.8, 63.72.0-63.h.1.4, $\ldots$ |
$[]$ |
| 8820.q1 |
8820h1 |
8820.q |
8820h |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$840$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.642350$ |
$3538944/25$ |
$1.07666$ |
$3.69598$ |
$[0, 0, 0, -1512, -22491]$ |
\(y^2=x^3-1512x-22491\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bv.1, 40.12.0.cb.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
| 8820.q2 |
8820h2 |
8820.q |
8820h |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$840$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.988924$ |
$-11664/625$ |
$0.94491$ |
$3.87171$ |
$[0, 0, 0, -567, -50274]$ |
\(y^2=x^3-567x-50274\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bs.1, 40.12.0.cb.1, 56.12.0.br.1, $\ldots$ |
$[]$ |
| 8820.r1 |
8820bb2 |
8820.r |
8820bb |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$3.859436560$ |
$1$ |
|
$2$ |
$51840$ |
$1.779808$ |
$-225637236736/1715$ |
$1.02937$ |
$5.49871$ |
$[0, 0, 0, -355152, -81465244]$ |
\(y^2=x^3-355152x-81465244\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 30.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? |
$[(1085, 28469)]$ |
| 8820.r2 |
8820bb1 |
8820.r |
8820bb |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1.286478853$ |
$1$ |
|
$2$ |
$17280$ |
$1.230503$ |
$-65536/875$ |
$0.97204$ |
$4.19203$ |
$[0, 0, 0, -2352, -215404]$ |
\(y^2=x^3-2352x-215404\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 30.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.? |
$[(77, 245)]$ |
| 8820.s1 |
8820ba1 |
8820.s |
8820ba |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.467441210$ |
$1$ |
|
$11$ |
$9216$ |
$0.968047$ |
$1048576/525$ |
$1.05510$ |
$3.84188$ |
$[0, 0, 0, -2352, 16121]$ |
\(y^2=x^3-2352x+16121\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(70, 441)]$ |
| 8820.s2 |
8820ba2 |
8820.s |
8820ba |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.934882420$ |
$1$ |
|
$7$ |
$18432$ |
$1.314621$ |
$3286064/2205$ |
$0.84665$ |
$4.27281$ |
$[0, 0, 0, 8673, 124166]$ |
\(y^2=x^3+8673x+124166\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(35, 686)]$ |
| 8820.t1 |
8820z2 |
8820.t |
8820z |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.320108214$ |
$1$ |
|
$13$ |
$36864$ |
$1.685526$ |
$16129950234928/455625$ |
$1.00848$ |
$5.32608$ |
$[0, 0, 0, -210567, 37189726]$ |
\(y^2=x^3-210567x+37189726\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[(287, 630)]$ |
| 8820.t2 |
8820z1 |
8820.t |
8820z |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.160054107$ |
$1$ |
|
$17$ |
$18432$ |
$1.338951$ |
$70954958848/10546875$ |
$1.05543$ |
$4.42359$ |
$[0, 0, 0, -13692, 531601]$ |
\(y^2=x^3-13692x+531601\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[(-28, 945)]$ |
| 8820.u1 |
8820e4 |
8820.u |
8820e |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$82944$ |
$2.059582$ |
$129348709488/6125$ |
$1.24179$ |
$5.80024$ |
$[0, 0, 0, -885087, 320486166]$ |
\(y^2=x^3-885087x+320486166\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 8820.u2 |
8820e3 |
8820.u |
8820e |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$41472$ |
$1.713007$ |
$588791808/109375$ |
$0.99350$ |
$4.90151$ |
$[0, 0, 0, -58212, 4454541]$ |
\(y^2=x^3-58212x+4454541\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 21.8.0-3.a.1.2, 42.48.0-42.c.1.2, $\ldots$ |
$[]$ |
| 8820.u3 |
8820e2 |
8820.u |
8820e |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.510275$ |
$1210991472/588245$ |
$0.94526$ |
$4.56051$ |
$[0, 0, 0, -20727, -460306]$ |
\(y^2=x^3-20727x-460306\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 8820.u4 |
8820e1 |
8820.u |
8820e |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$420$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$13824$ |
$1.163702$ |
$10788913152/8575$ |
$1.01350$ |
$4.49606$ |
$[0, 0, 0, -17052, -856471]$ |
\(y^2=x^3-17052x-856471\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 21.8.0-3.a.1.1, 42.48.0-42.c.1.1, $\ldots$ |
$[]$ |
| 8820.v1 |
8820w1 |
8820.v |
8820w |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.711284229$ |
$1$ |
|
$4$ |
$2880$ |
$0.321195$ |
$8192/5$ |
$0.91737$ |
$2.97041$ |
$[0, 0, 0, 168, 196]$ |
\(y^2=x^3+168x+196\) |
70.2.0.a.1 |
$[(0, 14)]$ |
| 8820.w1 |
8820t1 |
8820.w |
8820t |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14112$ |
$1.133675$ |
$-3024/5$ |
$0.61638$ |
$4.08028$ |
$[0, 0, 0, -3087, 129654]$ |
\(y^2=x^3-3087x+129654\) |
20.2.0.a.1 |
$[]$ |
| 8820.x1 |
8820y1 |
8820.x |
8820y |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.662980377$ |
$1$ |
|
$11$ |
$46080$ |
$1.733154$ |
$1248870793216/42525$ |
$1.11953$ |
$5.38186$ |
$[0, 0, 0, -249312, 47912641]$ |
\(y^2=x^3-249312x+47912641\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(302, 405)]$ |
| 8820.x2 |
8820y2 |
8820.x |
8820y |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{16} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.325960755$ |
$1$ |
|
$7$ |
$92160$ |
$2.079727$ |
$-68150496976/14467005$ |
$0.93764$ |
$5.40132$ |
$[0, 0, 0, -238287, 52342486]$ |
\(y^2=x^3-238287x+52342486\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(155, 4374)]$ |
| 8820.y1 |
8820x1 |
8820.y |
8820x |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.211009854$ |
$1$ |
|
$8$ |
$4608$ |
$0.643731$ |
$57344/1875$ |
$1.00725$ |
$3.41251$ |
$[0, 0, 0, 168, 6244]$ |
\(y^2=x^3+168x+6244\) |
6.2.0.a.1 |
$[(8, 90)]$ |
