| 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 |
| 121680.a1 |
121680el1 |
121680.a |
121680el |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.761459459$ |
$1$ |
|
$14$ |
$322560$ |
$1.133095$ |
$-22478848/10935$ |
$1.00451$ |
$3.19151$ |
$[0, 0, 0, -4368, 150748]$ |
\(y^2=x^3-4368x+150748\) |
390.2.0.? |
$[(-22, 486), (26, 234)]$ |
| 121680.b1 |
121680ee1 |
121680.b |
121680ee |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{10} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$7.840797090$ |
$1$ |
|
$0$ |
$1290240$ |
$1.860556$ |
$-79370312059129/12960$ |
$1.18524$ |
$4.44477$ |
$[0, 0, 0, -712803, -231634078]$ |
\(y^2=x^3-712803x-231634078\) |
40.2.0.a.1 |
$[(48673/7, 2181024/7)]$ |
| 121680.c1 |
121680z4 |
121680.c |
121680z |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 13^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$10.06267221$ |
$1$ |
|
$11$ |
$4128768$ |
$2.477100$ |
$490757540836/2142075$ |
$0.93734$ |
$4.76824$ |
$[0, 0, 0, -2519283, -1533273118]$ |
\(y^2=x^3-2519283x-1533273118\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[(-949, 1690), (-926, 2358)]$ |
| 121680.c2 |
121680z2 |
121680.c |
121680z |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$156$ |
$48$ |
$0$ |
$10.06267221$ |
$1$ |
|
$15$ |
$2064384$ |
$2.130527$ |
$1650587344/950625$ |
$0.98820$ |
$4.16349$ |
$[0, 0, 0, -237783, 3088982]$ |
\(y^2=x^3-237783x+3088982\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 52.24.0-52.b.1.4, 156.48.0.? |
$[(-26, 3042), (589, 8208)]$ |
| 121680.c3 |
121680z1 |
121680.c |
121680z |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$2.515668054$ |
$1$ |
|
$9$ |
$1032192$ |
$1.783955$ |
$9538484224/26325$ |
$0.91841$ |
$4.07652$ |
$[0, 0, 0, -169338, 26757263]$ |
\(y^2=x^3-169338x+26757263\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.5, $\ldots$ |
$[(299, 1690), (-377, 6084)]$ |
| 121680.c4 |
121680z3 |
121680.c |
121680z |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$2.515668054$ |
$1$ |
|
$17$ |
$4128768$ |
$2.477100$ |
$26198797244/15234375$ |
$1.02140$ |
$4.51799$ |
$[0, 0, 0, 948597, 24681098]$ |
\(y^2=x^3+948597x+24681098\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.13, $\ldots$ |
$[(13, 6084), (481, 24336)]$ |
| 121680.d1 |
121680eb1 |
121680.d |
121680eb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$0.729482661$ |
$1$ |
|
$9$ |
$516096$ |
$1.563313$ |
$117649/65$ |
$0.95681$ |
$3.58477$ |
$[0, 0, 0, -24843, 320762]$ |
\(y^2=x^3-24843x+320762\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(247, 3042)]$ |
| 121680.d2 |
121680eb2 |
121680.d |
121680eb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1.458965323$ |
$1$ |
|
$7$ |
$1032192$ |
$1.909885$ |
$6967871/4225$ |
$0.89914$ |
$3.93333$ |
$[0, 0, 0, 96837, 2535338]$ |
\(y^2=x^3+96837x+2535338\) |
2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$ |
$[(143, 4394)]$ |
| 121680.e1 |
121680dz7 |
121680.e |
121680dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$10.99392578$ |
$1$ |
|
$1$ |
$10616832$ |
$3.089092$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.77822$ |
$[0, 0, 0, -129796563, -569171178862]$ |
\(y^2=x^3-129796563x-569171178862\) |
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, $\ldots$ |
$[(748903/7, 345940470/7)]$ |
| 121680.e2 |
121680dz8 |
121680.e |
121680dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{12} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$2.748481446$ |
$1$ |
|
$5$ |
$10616832$ |
$3.089092$ |
$10316097499609/5859375000$ |
$1.13600$ |
$5.14673$ |
$[0, 0, 0, -11036883, -1920823918]$ |
\(y^2=x^3-11036883x-1920823918\) |
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, $\ldots$ |
$[(3913, 121680)]$ |
| 121680.e3 |
121680dz6 |
121680.e |
121680dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$1560$ |
$384$ |
$5$ |
$5.496962893$ |
$1$ |
|
$5$ |
$5308416$ |
$2.742519$ |
$4102915888729/9000000$ |
$1.05221$ |
$5.06799$ |
$[0, 0, 0, -8116563, -8883450862]$ |
\(y^2=x^3-8116563x-8883450862\) |
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, $\ldots$ |
$[(12697, 1391040)]$ |
| 121680.e4 |
121680dz5 |
121680.e |
121680dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$0.916160482$ |
$1$ |
|
$9$ |
$3538944$ |
$2.539787$ |
$2656166199049/33750$ |
$1.05017$ |
$5.03086$ |
$[0, 0, 0, -7021443, 7161152258]$ |
\(y^2=x^3-7021443x+7161152258\) |
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, $\ldots$ |
$[(1609, 5400)]$ |
| 121680.e5 |
121680dz4 |
121680.e |
121680dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{18} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$3.664641929$ |
$1$ |
|
$5$ |
$3538944$ |
$2.539787$ |
$35578826569/5314410$ |
$1.03393$ |
$4.66252$ |
$[0, 0, 0, -1667523, -713879998]$ |
\(y^2=x^3-1667523x-713879998\) |
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, $\ldots$ |
$[(-793, 10478)]$ |
| 121680.e6 |
121680dz2 |
121680.e |
121680dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$1560$ |
$384$ |
$5$ |
$1.832320964$ |
$1$ |
|
$13$ |
$1769472$ |
$2.193214$ |
$702595369/72900$ |
$1.00457$ |
$4.32734$ |
$[0, 0, 0, -450723, 105513122]$ |
\(y^2=x^3-450723x+105513122\) |
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, $\ldots$ |
$[(529, 3888)]$ |
| 121680.e7 |
121680dz3 |
121680.e |
121680dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{7} \cdot 5^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$10.99392578$ |
$1$ |
|
$1$ |
$2654208$ |
$2.395947$ |
$-273359449/1536000$ |
$1.04920$ |
$4.44922$ |
$[0, 0, 0, -329043, -237746158]$ |
\(y^2=x^3-329043x-237746158\) |
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, $\ldots$ |
$[(1673897/23, 2121512960/23)]$ |
| 121680.e8 |
121680dz1 |
121680.e |
121680dz |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{9} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$3.664641929$ |
$1$ |
|
$5$ |
$884736$ |
$1.846642$ |
$357911/2160$ |
$0.99689$ |
$3.87141$ |
$[0, 0, 0, 35997, 8071778]$ |
\(y^2=x^3+35997x+8071778\) |
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, $\ldots$ |
$[(-79, 2176)]$ |
| 121680.f1 |
121680cp2 |
121680.f |
121680cp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$7.215520872$ |
$1$ |
|
$1$ |
$5750784$ |
$2.735577$ |
$12326391/625$ |
$0.90504$ |
$4.92069$ |
$[0, 0, 0, -4567563, 3588918138]$ |
\(y^2=x^3-4567563x+3588918138\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.cb.1, 104.12.0.?, $\ldots$ |
$[(7081/2, 259325/2)]$ |
| 121680.f2 |
121680cp1 |
121680.f |
121680cp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$3.607760436$ |
$1$ |
|
$3$ |
$2875392$ |
$2.389004$ |
$729/25$ |
$0.88208$ |
$4.43639$ |
$[0, 0, 0, 177957, 220548042]$ |
\(y^2=x^3+177957x+220548042\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bq.1, 40.12.0.cb.1, 60.12.0.bn.1, $\ldots$ |
$[(1221, 47520)]$ |
| 121680.g1 |
121680cm4 |
121680.g |
121680cm |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 5 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$13934592$ |
$3.089428$ |
$520300455507/193072360$ |
$0.98306$ |
$5.17310$ |
$[0, 0, 0, -12233403, -9864631062]$ |
\(y^2=x^3-12233403x-9864631062\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 120.48.0.?, $\ldots$ |
$[ ]$ |
| 121680.g2 |
121680cm2 |
121680.g |
121680cm |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4644864$ |
$2.540123$ |
$261984288445803/42250$ |
$1.00391$ |
$5.14150$ |
$[0, 0, 0, -10813803, -13687235302]$ |
\(y^2=x^3-10813803x-13687235302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 120.48.0.?, $\ldots$ |
$[ ]$ |
| 121680.g3 |
121680cm1 |
121680.g |
121680cm |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2322432$ |
$2.193550$ |
$-63378025803/812500$ |
$0.94486$ |
$4.43223$ |
$[0, 0, 0, -673803, -215231302]$ |
\(y^2=x^3-673803x-215231302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 78.24.0.?, $\ldots$ |
$[ ]$ |
| 121680.g4 |
121680cm3 |
121680.g |
121680cm |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6967296$ |
$2.742855$ |
$3774555693/3515200$ |
$0.94972$ |
$4.75240$ |
$[0, 0, 0, 2368197, -1094910102]$ |
\(y^2=x^3+2368197x-1094910102\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 78.24.0.?, $\ldots$ |
$[ ]$ |
| 121680.h1 |
121680ea1 |
121680.h |
121680ea |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{5} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$9.877479779$ |
$1$ |
|
$1$ |
$7741440$ |
$2.881878$ |
$65787589563409/10400000$ |
$0.97958$ |
$5.30496$ |
$[0, 0, 0, -20467083, -35634667718]$ |
\(y^2=x^3-20467083x-35634667718\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(2570087/11, 4017840138/11)]$ |
| 121680.h2 |
121680ea2 |
121680.h |
121680ea |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{6} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$19.75495955$ |
$1$ |
|
$1$ |
$15482880$ |
$3.228451$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$5.33578$ |
$[0, 0, 0, -18520203, -42685877702]$ |
\(y^2=x^3-18520203x-42685877702\) |
2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$ |
$[(31641679303/1221, 5498691306991766/1221)]$ |
| 121680.i1 |
121680be2 |
121680.i |
121680be |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$9.842202655$ |
$1$ |
|
$1$ |
$1843200$ |
$2.065979$ |
$7824392006186/7381125$ |
$1.00519$ |
$4.40676$ |
$[0, 0, 0, -614523, -185268278]$ |
\(y^2=x^3-614523x-185268278\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(17001/2, 2175971/2)]$ |
| 121680.i2 |
121680be1 |
121680.i |
121680be |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$4.921101327$ |
$1$ |
|
$3$ |
$921600$ |
$1.719404$ |
$-1735192372/3796875$ |
$0.97338$ |
$3.76262$ |
$[0, 0, 0, -29523, -4269278]$ |
\(y^2=x^3-29523x-4269278\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(4221, 274000)]$ |
| 121680.j1 |
121680cn1 |
121680.j |
121680cn |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.102574914$ |
$1$ |
|
$10$ |
$50688$ |
$0.273880$ |
$9477/10$ |
$0.73431$ |
$2.21196$ |
$[0, 0, 0, 117, 442]$ |
\(y^2=x^3+117x+442\) |
120.2.0.? |
$[(-3, 8), (-1, 18)]$ |
| 121680.k1 |
121680bd1 |
121680.k |
121680bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{5} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$12.90458560$ |
$1$ |
|
$0$ |
$3594240$ |
$2.516155$ |
$-934577152/9375$ |
$0.94283$ |
$4.77355$ |
$[0, 0, 0, -2557308, -1587648868]$ |
\(y^2=x^3-2557308x-1587648868\) |
390.2.0.? |
$[(55660657/31, 415102280697/31)]$ |
| 121680.l1 |
121680w1 |
121680.l |
121680w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$780$ |
$12$ |
$0$ |
$2.854127084$ |
$1$ |
|
$4$ |
$69120$ |
$0.646436$ |
$3037375744/25$ |
$1.18153$ |
$3.10257$ |
$[0, 0, 0, -3783, 89557]$ |
\(y^2=x^3-3783x+89557\) |
2.2.0.a.1, 26.6.0.a.1, 780.12.0.? |
$[(36, 5), (129/2, 265/2)]$ |
| 121680.m1 |
121680e1 |
121680.m |
121680e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$17.65652209$ |
$1$ |
|
$0$ |
$4515840$ |
$2.705906$ |
$74251994112/29007265625$ |
$1.10272$ |
$4.76335$ |
$[0, 0, 0, 281892, -1495620932]$ |
\(y^2=x^3+281892x-1495620932\) |
390.2.0.? |
$[(1047133529/47, 33884678400963/47)]$ |
| 121680.n1 |
121680x1 |
121680.n |
121680x |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$780$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$898560$ |
$1.875553$ |
$43264/25$ |
$1.09219$ |
$3.90198$ |
$[0, 0, 0, -85683, 371293]$ |
\(y^2=x^3-85683x+371293\) |
2.2.0.a.1, 26.6.0.a.1, 780.12.0.? |
$[ ]$ |
| 121680.o1 |
121680dx1 |
121680.o |
121680dx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$780$ |
$12$ |
$0$ |
$1.947359829$ |
$1$ |
|
$0$ |
$419328$ |
$1.465828$ |
$89856/25$ |
$0.66228$ |
$3.52629$ |
$[0, 0, 0, -19773, 771147]$ |
\(y^2=x^3-19773x+771147\) |
2.2.0.a.1, 26.6.0.a.1, 60.4.0-2.a.1.1, 780.12.0.? |
$[(169/2, 845/2)]$ |
| 121680.p1 |
121680bc1 |
121680.p |
121680bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$16.88375328$ |
$1$ |
|
$1$ |
$23482368$ |
$3.521236$ |
$621217777580032/74733890625$ |
$1.05549$ |
$5.68030$ |
$[0, 0, 0, -88569858, 285543252943]$ |
\(y^2=x^3-88569858x+285543252943\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(10471898931/857, 872453526649250/857)]$ |
| 121680.p2 |
121680bc2 |
121680.p |
121680bc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{12} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$33.76750657$ |
$1$ |
|
$1$ |
$46964736$ |
$3.867809$ |
$116227003261808/533935546875$ |
$1.04468$ |
$5.93937$ |
$[0, 0, 0, 127647897, 1462157032102]$ |
\(y^2=x^3+127647897x+1462157032102\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(27719049219234854/1706171, 9346117376578791575597922/1706171)]$ |
| 121680.q1 |
121680ej2 |
121680.q |
121680ej |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7667712$ |
$3.036442$ |
$258840217117/18225$ |
$0.98858$ |
$5.48917$ |
$[0, 0, 0, -42004443, 104776656842]$ |
\(y^2=x^3-42004443x+104776656842\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
| 121680.q2 |
121680ej1 |
121680.q |
121680ej |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3833856$ |
$2.689869$ |
$-51895117/16875$ |
$0.92390$ |
$4.80006$ |
$[0, 0, 0, -2458443, 1854237242]$ |
\(y^2=x^3-2458443x+1854237242\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
| 121680.r1 |
121680ds1 |
121680.r |
121680ds |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$5.456924612$ |
$1$ |
|
$1$ |
$1032192$ |
$1.966900$ |
$3718856704/2132325$ |
$1.07236$ |
$3.99607$ |
$[0, 0, 0, -123708, 1606007]$ |
\(y^2=x^3-123708x+1606007\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(-311/2, 26235/2)]$ |
| 121680.r2 |
121680ds2 |
121680.r |
121680ds |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$10.91384922$ |
$1$ |
|
$1$ |
$2064384$ |
$2.313473$ |
$14647977776/8555625$ |
$0.99143$ |
$4.34994$ |
$[0, 0, 0, 492297, 12817298]$ |
\(y^2=x^3+492297x+12817298\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 52.12.0.d.1, 312.24.0.?, $\ldots$ |
$[(619441/22, 557291025/22)]$ |
| 121680.s1 |
121680dk2 |
121680.s |
121680dk |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{12} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$5.358852604$ |
$1$ |
|
$0$ |
$1990656$ |
$2.267975$ |
$-21752792449024/6591796875$ |
$1.06323$ |
$4.37019$ |
$[0, 0, 0, -463008, -149682832]$ |
\(y^2=x^3-463008x-149682832\) |
3.4.0.a.1, 6.8.0.b.1, 156.16.0.? |
$[(180001/2, 76359375/2)]$ |
| 121680.s2 |
121680dk1 |
121680.s |
121680dk |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{15} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1.786284201$ |
$1$ |
|
$0$ |
$663552$ |
$1.718670$ |
$16742875136/12301875$ |
$1.10013$ |
$3.72192$ |
$[0, 0, 0, 42432, 1746992]$ |
\(y^2=x^3+42432x+1746992\) |
3.4.0.a.1, 6.8.0.b.1, 156.16.0.? |
$[(289/2, 18225/2)]$ |
| 121680.t1 |
121680dj1 |
121680.t |
121680dj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$9.664889708$ |
$1$ |
|
$0$ |
$4515840$ |
$2.649780$ |
$-32278933504/27421875$ |
$0.96372$ |
$4.73136$ |
$[0, 0, 0, -1614288, -1240197712]$ |
\(y^2=x^3-1614288x-1240197712\) |
390.2.0.? |
$[(932737/17, 809806257/17)]$ |
| 121680.u1 |
121680ch1 |
121680.u |
121680ch |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.710907$ |
$-303464448/1625$ |
$0.94004$ |
$3.97495$ |
$[0, 0, 0, -113568, -14798992]$ |
\(y^2=x^3-113568x-14798992\) |
3.4.0.a.1, 60.8.0-3.a.1.3, 156.8.0.?, 390.8.0.?, 780.16.0.? |
$[ ]$ |
| 121680.u2 |
121680ch2 |
121680.u |
121680ch |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1741824$ |
$2.260212$ |
$7077888/10985$ |
$1.00193$ |
$4.26055$ |
$[0, 0, 0, 292032, -78775632]$ |
\(y^2=x^3+292032x-78775632\) |
3.4.0.a.1, 60.8.0-3.a.1.4, 156.8.0.?, 390.8.0.?, 780.16.0.? |
$[ ]$ |
| 121680.v1 |
121680dh2 |
121680.v |
121680dh |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$6.543132972$ |
$1$ |
|
$0$ |
$1161216$ |
$2.154781$ |
$-4684079104/823875$ |
$0.93879$ |
$4.27524$ |
$[0, 0, 0, -336648, -85849972]$ |
\(y^2=x^3-336648x-85849972\) |
3.4.0.a.1, 60.8.0-3.a.1.3, 156.8.0.?, 390.8.0.?, 780.16.0.? |
$[(37258/7, 3391830/7)]$ |
| 121680.v2 |
121680dh1 |
121680.v |
121680dh |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$2.181044324$ |
$1$ |
|
$2$ |
$387072$ |
$1.605474$ |
$2809856/1755$ |
$0.89795$ |
$3.61898$ |
$[0, 0, 0, 28392, 518492]$ |
\(y^2=x^3+28392x+518492\) |
3.4.0.a.1, 60.8.0-3.a.1.4, 156.8.0.?, 390.8.0.?, 780.16.0.? |
$[(598, 15210)]$ |
| 121680.w1 |
121680dg2 |
121680.w |
121680dg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$5.143548238$ |
$1$ |
|
$2$ |
$103680$ |
$0.813499$ |
$1000939264/15625$ |
$0.89834$ |
$3.00776$ |
$[0, 0, 0, -2613, -50713]$ |
\(y^2=x^3-2613x-50713\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 60.16.0.a.2, $\ldots$ |
$[(1886, 81875)]$ |
| 121680.w2 |
121680dg1 |
121680.w |
121680dg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1.714516079$ |
$1$ |
|
$2$ |
$34560$ |
$0.264194$ |
$1141504/25$ |
$0.76553$ |
$2.42904$ |
$[0, 0, 0, -273, 1703]$ |
\(y^2=x^3-273x+1703\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 60.16.0.a.1, $\ldots$ |
$[(14, 25)]$ |
| 121680.x1 |
121680di1 |
121680.x |
121680di |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$0.614815277$ |
$1$ |
|
$4$ |
$82944$ |
$0.732239$ |
$-658489/40$ |
$0.82676$ |
$2.86416$ |
$[0, 0, 0, -1443, 22178]$ |
\(y^2=x^3-1443x+22178\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 156.8.0.?, 1560.16.0.? |
$[(1, 144)]$ |
| 121680.x2 |
121680di2 |
121680.x |
121680di |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$1.844445831$ |
$1$ |
|
$2$ |
$248832$ |
$1.281546$ |
$108750551/64000$ |
$1.00157$ |
$3.29178$ |
$[0, 0, 0, 7917, 35282]$ |
\(y^2=x^3+7917x+35282\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 156.8.0.?, 1560.16.0.? |
$[(313, 5760)]$ |
| 121680.y1 |
121680cg1 |
121680.y |
121680cg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.906452620$ |
$1$ |
|
$8$ |
$322560$ |
$1.583815$ |
$1769472/40625$ |
$1.04442$ |
$3.61017$ |
$[0, 0, 0, 8112, 1748812]$ |
\(y^2=x^3+8112x+1748812\) |
390.2.0.? |
$[(78, 1690), (-91, 507)]$ |
