| 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 |
Manin constant |
| 20160.a1 |
20160dy3 |
20160.a |
20160dy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$2.174196669$ |
$1$ |
|
$5$ |
$55296$ |
$1.251081$ |
$189123395584/16078125$ |
$1.04346$ |
$3.98416$ |
$[0, 0, 0, -10848, -401672]$ |
\(y^2=x^3-10848x-401672\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.b.1, 24.24.0-6.a.1.6, $\ldots$ |
$[(-58, 180)]$ |
$1$ |
| 20160.a2 |
20160dy1 |
20160.a |
20160dy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$0.724732223$ |
$1$ |
|
$7$ |
$18432$ |
$0.701776$ |
$1594753024/4725$ |
$1.00209$ |
$3.50232$ |
$[0, 0, 0, -2208, 39832]$ |
\(y^2=x^3-2208x+39832\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.b.1, 24.24.0-6.a.1.14, $\ldots$ |
$[(14, 108)]$ |
$1$ |
| 20160.a3 |
20160dy2 |
20160.a |
20160dy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 3^{12} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1.449464446$ |
$1$ |
|
$7$ |
$36864$ |
$1.048349$ |
$-20720464/178605$ |
$0.91232$ |
$3.62292$ |
$[0, 0, 0, -1308, 72592]$ |
\(y^2=x^3-1308x+72592\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 24.24.0-6.a.1.14, $\ldots$ |
$[(29, 243)]$ |
$1$ |
| 20160.a4 |
20160dy4 |
20160.a |
20160dy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$4.348393338$ |
$1$ |
|
$3$ |
$110592$ |
$1.597654$ |
$14647977776/132355125$ |
$0.97903$ |
$4.27639$ |
$[0, 0, 0, 11652, -1850672]$ |
\(y^2=x^3+11652x-1850672\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.a.1, 24.24.0-6.a.1.6, $\ldots$ |
$[(317, 5805)]$ |
$1$ |
| 20160.b1 |
20160bj1 |
20160.b |
20160bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5 \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.334548$ |
$-1024/35$ |
$0.78213$ |
$2.75667$ |
$[0, 0, 0, -48, -992]$ |
\(y^2=x^3-48x-992\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 20160.c1 |
20160bk1 |
20160.c |
20160bk |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5 \cdot 7^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$0.984813$ |
$14155776/84035$ |
$1.21697$ |
$3.52994$ |
$[0, 0, 0, 1152, -45792]$ |
\(y^2=x^3+1152x-45792\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 20160.d1 |
20160g1 |
20160.d |
20160g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.225050929$ |
$1$ |
|
$5$ |
$6144$ |
$0.190715$ |
$78732/35$ |
$0.83312$ |
$2.58892$ |
$[0, 0, 0, -108, -208]$ |
\(y^2=x^3-108x-208\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[(-8, 12)]$ |
$1$ |
| 20160.d2 |
20160g2 |
20160.d |
20160g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.612525464$ |
$1$ |
|
$9$ |
$12288$ |
$0.537289$ |
$1608714/1225$ |
$0.86288$ |
$2.96327$ |
$[0, 0, 0, 372, -1552]$ |
\(y^2=x^3+372x-1552\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(14, 80)]$ |
$1$ |
| 20160.e1 |
20160bi4 |
20160.e |
20160bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{10} \cdot 5 \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$1.583022156$ |
$1$ |
|
$17$ |
$32768$ |
$1.066149$ |
$11512557512/2835$ |
$0.92005$ |
$4.05143$ |
$[0, 0, 0, -13548, 606832]$ |
\(y^2=x^3-13548x+606832\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(62, 72), (-82, 1080)]$ |
$1$ |
| 20160.e2 |
20160bi3 |
20160.e |
20160bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{7} \cdot 5 \cdot 7^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1.583022156$ |
$1$ |
|
$21$ |
$32768$ |
$1.066149$ |
$1184287112/36015$ |
$1.05323$ |
$3.82197$ |
$[0, 0, 0, -6348, -189488]$ |
\(y^2=x^3-6348x-189488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(-46, 72), (98, 360)]$ |
$1$ |
| 20160.e3 |
20160bi2 |
20160.e |
20160bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.583022156$ |
$1$ |
|
$31$ |
$16384$ |
$0.719574$ |
$31554496/11025$ |
$0.86726$ |
$3.24641$ |
$[0, 0, 0, -948, 7072]$ |
\(y^2=x^3-948x+7072\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[(2, 72), (6, 40)]$ |
$1$ |
| 20160.e4 |
20160bi1 |
20160.e |
20160bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{4} \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$6.332088624$ |
$1$ |
|
$7$ |
$8192$ |
$0.373001$ |
$13144256/13125$ |
$0.87001$ |
$2.73845$ |
$[0, 0, 0, 177, 772]$ |
\(y^2=x^3+177x+772\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[(32, 198), (96, 950)]$ |
$1$ |
| 20160.f1 |
20160bg3 |
20160.f |
20160bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{4} \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.252271566$ |
$1$ |
|
$11$ |
$24576$ |
$0.885046$ |
$123505992/4375$ |
$0.97359$ |
$3.59389$ |
$[0, 0, 0, -2988, -60912]$ |
\(y^2=x^3-2988x-60912\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.y.1, 56.12.0.s.1, $\ldots$ |
$[(-27, 9), (-32, 44)]$ |
$1$ |
| 20160.f2 |
20160bg2 |
20160.f |
20160bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.313067891$ |
$1$ |
|
$35$ |
$12288$ |
$0.538473$ |
$3796416/1225$ |
$0.97255$ |
$3.03275$ |
$[0, 0, 0, -468, 2592]$ |
\(y^2=x^3-468x+2592\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 56.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(-3, 63), (4, 28)]$ |
$1$ |
| 20160.f3 |
20160bg1 |
20160.f |
20160bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5 \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.252271566$ |
$1$ |
|
$7$ |
$6144$ |
$0.191899$ |
$179406144/35$ |
$0.91443$ |
$3.00215$ |
$[0, 0, 0, -423, 3348]$ |
\(y^2=x^3-423x+3348\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.y.1, 56.12.0.y.1, $\ldots$ |
$[(16, 26), (48, 306)]$ |
$1$ |
| 20160.f4 |
20160bg4 |
20160.f |
20160bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5 \cdot 7^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.252271566$ |
$1$ |
|
$11$ |
$24576$ |
$0.885046$ |
$10941048/12005$ |
$0.90537$ |
$3.34935$ |
$[0, 0, 0, 1332, 17712]$ |
\(y^2=x^3+1332x+17712\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.s.1, 56.12.0.y.1, $\ldots$ |
$[(37, 343), (-3, 117)]$ |
$1$ |
| 20160.g1 |
20160dx3 |
20160.g |
20160dx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 3^{18} \cdot 5^{3} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$1.580255667$ |
$1$ |
|
$7$ |
$294912$ |
$2.308441$ |
$60910917333827912/3255076125$ |
$1.02087$ |
$5.61341$ |
$[0, 0, 0, -2360748, 1396054928]$ |
\(y^2=x^3-2360748x+1396054928\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.10, $\ldots$ |
$[(898, 504)]$ |
$1$ |
| 20160.g2 |
20160dx2 |
20160.g |
20160dx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$3.160511335$ |
$1$ |
|
$9$ |
$147456$ |
$1.961866$ |
$139927692143296/27348890625$ |
$1.03575$ |
$4.79058$ |
$[0, 0, 0, -155748, 19252928]$ |
\(y^2=x^3-155748x+19252928\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 24.24.0-24.a.1.2, $\ldots$ |
$[(61, 3159)]$ |
$1$ |
| 20160.g3 |
20160dx1 |
20160.g |
20160dx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$6.321022671$ |
$1$ |
|
$1$ |
$73728$ |
$1.615294$ |
$257307998572864/19456203375$ |
$1.03370$ |
$4.43243$ |
$[0, 0, 0, -47703, -3739048]$ |
\(y^2=x^3-47703x-3739048\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.8, 40.24.0-40.bb.1.11, $\ldots$ |
$[(-439/2, 3341/2)]$ |
$1$ |
| 20160.g4 |
20160dx4 |
20160.g |
20160dx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{12} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$6.321022671$ |
$1$ |
|
$3$ |
$294912$ |
$2.308441$ |
$152461584507448/322998046875$ |
$1.01781$ |
$5.10777$ |
$[0, 0, 0, 320532, 113937392]$ |
\(y^2=x^3+320532x+113937392\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
$[(1237, 49023)]$ |
$1$ |
| 20160.h1 |
20160f2 |
20160.h |
20160f |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$4.371277692$ |
$1$ |
|
$3$ |
$61440$ |
$1.485069$ |
$5820343774272/3349609375$ |
$1.14030$ |
$4.13723$ |
$[0, 0, 0, -17988, -69088]$ |
\(y^2=x^3-17988x-69088\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.? |
$[(-11, 357)]$ |
$1$ |
| 20160.h2 |
20160f1 |
20160.h |
20160f |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{5} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$8.742555385$ |
$1$ |
|
$1$ |
$30720$ |
$1.138494$ |
$135574940230848/367653125$ |
$1.02568$ |
$4.03526$ |
$[0, 0, 0, -12843, -558892]$ |
\(y^2=x^3-12843x-558892\) |
2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.? |
$[(-13039/14, 90049/14)]$ |
$1$ |
| 20160.i1 |
20160bf3 |
20160.i |
20160bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 3^{10} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.602610$ |
$5763259856089/5670$ |
$0.98492$ |
$4.88837$ |
$[0, 0, 0, -215148, -38410832]$ |
\(y^2=x^3-215148x-38410832\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.i2 |
20160bf2 |
20160.i |
20160bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.256037$ |
$1439069689/44100$ |
$0.92114$ |
$4.05143$ |
$[0, 0, 0, -13548, -590672]$ |
\(y^2=x^3-13548x-590672\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 140.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.i3 |
20160bf1 |
20160.i |
20160bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{22} \cdot 3^{7} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.909463$ |
$4826809/1680$ |
$1.01603$ |
$3.47659$ |
$[0, 0, 0, -2028, 22192]$ |
\(y^2=x^3-2028x+22192\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 210.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.i4 |
20160bf4 |
20160.i |
20160bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{4} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.602610$ |
$30080231/9003750$ |
$1.02840$ |
$4.29142$ |
$[0, 0, 0, 3732, -1993808]$ |
\(y^2=x^3+3732x-1993808\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.j1 |
20160bh3 |
20160.j |
20160bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{9} \cdot 5 \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.554163$ |
$2624033547076/324135$ |
$0.97102$ |
$4.66912$ |
$[0, 0, 0, -104268, -12957712]$ |
\(y^2=x^3-104268x-12957712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.j2 |
20160bh2 |
20160.j |
20160bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.207590$ |
$3269383504/893025$ |
$0.91234$ |
$3.85449$ |
$[0, 0, 0, -7068, -166192]$ |
\(y^2=x^3-7068x-166192\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.j3 |
20160bh1 |
20160.j |
20160bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.861016$ |
$2508888064/118125$ |
$0.93401$ |
$3.54804$ |
$[0, 0, 0, -2568, 48008]$ |
\(y^2=x^3-2568x+48008\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.j4 |
20160bh4 |
20160.j |
20160bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{16} \cdot 3^{18} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.554163$ |
$13799183324/18600435$ |
$0.95866$ |
$4.16836$ |
$[0, 0, 0, 18132, -1083472]$ |
\(y^2=x^3+18132x-1083472\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 70.6.0.a.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.k1 |
20160dt2 |
20160.k |
20160dt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.251492912$ |
$1$ |
|
$5$ |
$12288$ |
$0.562888$ |
$31554496/525$ |
$0.88154$ |
$3.24641$ |
$[0, 0, 0, -948, -11072]$ |
\(y^2=x^3-948x-11072\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(-19, 9)]$ |
$1$ |
| 20160.k2 |
20160dt1 |
20160.k |
20160dt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{8} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.502985825$ |
$1$ |
|
$3$ |
$6144$ |
$0.216315$ |
$-64/2205$ |
$1.16244$ |
$2.61352$ |
$[0, 0, 0, -3, -488]$ |
\(y^2=x^3-3x-488\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(92, 882)]$ |
$1$ |
| 20160.l1 |
20160c2 |
20160.l |
20160c |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.809676397$ |
$1$ |
|
$5$ |
$8192$ |
$0.479186$ |
$10536048/4375$ |
$0.83940$ |
$2.94308$ |
$[0, 0, 0, -348, -1328]$ |
\(y^2=x^3-348x-1328\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(21, 25)]$ |
$1$ |
| 20160.l2 |
20160c1 |
20160.l |
20160c |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.904838198$ |
$1$ |
|
$7$ |
$4096$ |
$0.132612$ |
$1492992/1225$ |
$0.85758$ |
$2.46620$ |
$[0, 0, 0, 72, -152]$ |
\(y^2=x^3+72x-152\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(9, 35)]$ |
$1$ |
| 20160.m1 |
20160ct1 |
20160.m |
20160ct |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.206259$ |
$8232302592/214375$ |
$1.12346$ |
$4.00045$ |
$[0, 0, 0, -11448, 460728]$ |
\(y^2=x^3-11448x+460728\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[ ]$ |
$1$ |
| 20160.m2 |
20160ct2 |
20160.m |
20160ct |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.552834$ |
$2963088/2941225$ |
$1.23942$ |
$4.23147$ |
$[0, 0, 0, 2052, 1481328]$ |
\(y^2=x^3+2052x+1481328\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[ ]$ |
$1$ |
| 20160.n1 |
20160ba1 |
20160.n |
20160ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.232340$ |
$-6229504/1715$ |
$0.82351$ |
$2.70238$ |
$[0, 0, 0, -138, 758]$ |
\(y^2=x^3-138x+758\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 20160.o1 |
20160ds1 |
20160.o |
20160ds |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$9.478427401$ |
$1$ |
|
$0$ |
$5760$ |
$0.371954$ |
$-738763264/875$ |
$0.89330$ |
$3.14516$ |
$[0, 0, 0, -678, -6802]$ |
\(y^2=x^3-678x-6802\) |
70.2.0.a.1 |
$[(8729/17, 81407/17)]$ |
$1$ |
| 20160.p1 |
20160z1 |
20160.p |
20160z |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{11} \cdot 7^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$147840$ |
$1.868408$ |
$722603599520256/820654296875$ |
$1.08491$ |
$4.53661$ |
$[0, 0, 0, 67302, 6593022]$ |
\(y^2=x^3+67302x+6593022\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 20160.q1 |
20160y3 |
20160.q |
20160y |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{26} \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$983040$ |
$2.832115$ |
$898353183174324196/29899176238575$ |
$1.03474$ |
$5.95486$ |
$[0, 0, 0, -7294188, -7361249488]$ |
\(y^2=x^3-7294188x-7361249488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.10, 28.12.0.h.1, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.q2 |
20160y2 |
20160.q |
20160y |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{16} \cdot 5^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$491520$ |
$2.485542$ |
$13015144447800784/4341909875625$ |
$1.02400$ |
$5.38777$ |
$[0, 0, 0, -1120188, 296980112]$ |
\(y^2=x^3-1120188x+296980112\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 28.12.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.q3 |
20160y1 |
20160.q |
20160y |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$2.138969$ |
$151591373397612544/32558203125$ |
$1.13122$ |
$5.35573$ |
$[0, 0, 0, -1007688, 389275112]$ |
\(y^2=x^3-1007688x+389275112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.14, 42.6.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.q4 |
20160y4 |
20160.q |
20160y |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{16} \cdot 3^{11} \cdot 5^{2} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$983040$ |
$2.832115$ |
$79743193254623804/84085819746075$ |
$1.04397$ |
$5.71053$ |
$[0, 0, 0, 3253812, 2048329712]$ |
\(y^2=x^3+3253812x+2048329712\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.r1 |
20160dp3 |
20160.r |
20160dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{17} \cdot 3^{7} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.688654939$ |
$1$ |
|
$9$ |
$32768$ |
$1.285505$ |
$15267472418/36015$ |
$0.93614$ |
$4.21978$ |
$[0, 0, 0, -23628, 1395088]$ |
\(y^2=x^3-23628x+1395088\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$ |
$[(98, 144)]$ |
$1$ |
| 20160.r2 |
20160dp2 |
20160.r |
20160dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.377309879$ |
$1$ |
|
$13$ |
$16384$ |
$0.938931$ |
$19307236/11025$ |
$1.14460$ |
$3.47659$ |
$[0, 0, 0, -2028, 4048]$ |
\(y^2=x^3-2028x+4048\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 56.12.0.a.1, 120.24.0.?, $\ldots$ |
$[(98, 864)]$ |
$1$ |
| 20160.r3 |
20160dp1 |
20160.r |
20160dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{7} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$2.754619758$ |
$1$ |
|
$3$ |
$8192$ |
$0.592358$ |
$20720464/105$ |
$0.82444$ |
$3.34384$ |
$[0, 0, 0, -1308, -18128]$ |
\(y^2=x^3-1308x-18128\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 56.12.0.bb.1, $\ldots$ |
$[(42, 32)]$ |
$1$ |
| 20160.r4 |
20160dp4 |
20160.r |
20160dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{17} \cdot 3^{10} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$2.754619758$ |
$1$ |
|
$5$ |
$32768$ |
$1.285505$ |
$604223422/354375$ |
$1.00382$ |
$3.89394$ |
$[0, 0, 0, 8052, 32272]$ |
\(y^2=x^3+8052x+32272\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 56.12.0.v.1, $\ldots$ |
$[(77, 1053)]$ |
$1$ |
| 20160.s1 |
20160cr3 |
20160.s |
20160cr |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{20} \cdot 3^{9} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.502232$ |
$4767078987/6860$ |
$0.94607$ |
$4.50480$ |
$[0, 0, 0, -60588, 5733072]$ |
\(y^2=x^3-60588x+5733072\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 24.48.0-24.cc.1.11, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.s2 |
20160cr4 |
20160.s |
20160cr |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.848804$ |
$-1740992427/5882450$ |
$0.98563$ |
$4.59715$ |
$[0, 0, 0, -43308, 9071568]$ |
\(y^2=x^3-43308x+9071568\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 24.48.0-24.cb.1.9, $\ldots$ |
$[ ]$ |
$1$ |
| 20160.s3 |
20160cr1 |
20160.s |
20160cr |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.952926$ |
$416832723/56000$ |
$0.92419$ |
$3.59389$ |
$[0, 0, 0, -2988, -55088]$ |
\(y^2=x^3-2988x-55088\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 24.48.0-24.cc.1.9, $\ldots$ |
$[ ]$ |
$1$ |