| 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 |
| 57120.a1 |
57120bj4 |
57120.a |
57120bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$3.200731949$ |
$1$ |
|
$5$ |
$65536$ |
$0.901229$ |
$39924541407752/43848525$ |
$0.89841$ |
$3.42889$ |
$[0, -1, 0, -5696, 167220]$ |
\(y^2=x^3-x^2-5696x+167220\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 136.24.0.?, 168.24.0.?, 2856.48.0.? |
$[(49, 58)]$ |
| 57120.a2 |
57120bj3 |
57120.a |
57120bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2856$ |
$48$ |
$0$ |
$3.200731949$ |
$4$ |
$2$ |
$3$ |
$65536$ |
$0.901229$ |
$13994036429192/139453125$ |
$0.89031$ |
$3.33318$ |
$[0, -1, 0, -4016, -95784]$ |
\(y^2=x^3-x^2-4016x-95784\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$ |
$[(-35, 26)]$ |
| 57120.a3 |
57120bj1 |
57120.a |
57120bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1.600365974$ |
$1$ |
|
$9$ |
$32768$ |
$0.554655$ |
$153646158016/79655625$ |
$0.91281$ |
$2.73140$ |
$[0, -1, 0, -446, 1320]$ |
\(y^2=x^3-x^2-446x+1320\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.2, 168.24.0.?, 2856.48.0.? |
$[(-1, 42)]$ |
| 57120.a4 |
57120bj2 |
57120.a |
57120bj |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$0.800182987$ |
$1$ |
|
$9$ |
$65536$ |
$0.901229$ |
$127719486656/82654425$ |
$0.91321$ |
$3.09423$ |
$[0, -1, 0, 1679, 8545]$ |
\(y^2=x^3-x^2+1679x+8545\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 68.24.0-68.h.1.1, 168.24.0.?, 2856.48.0.? |
$[(93, 980)]$ |
| 57120.b1 |
57120c2 |
57120.b |
57120c |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.364786$ |
$5312107147011904/154850535$ |
$0.97686$ |
$4.06527$ |
$[0, -1, 0, -58161, 5418081]$ |
\(y^2=x^3-x^2-58161x+5418081\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[]$ |
| 57120.b2 |
57120c1 |
57120.b |
57120c |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{14} \cdot 5^{2} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.018211$ |
$-73223496485056/14229332775$ |
$0.95479$ |
$3.32085$ |
$[0, -1, 0, -3486, 92736]$ |
\(y^2=x^3-x^2-3486x+92736\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[]$ |
| 57120.c1 |
57120d1 |
57120.c |
57120d |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{5} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384000$ |
$1.750992$ |
$272496055143618496/135058478428125$ |
$1.00487$ |
$4.04507$ |
$[0, -1, 0, -54026, 1849260]$ |
\(y^2=x^3-x^2-54026x+1849260\) |
2.3.0.a.1, 84.6.0.?, 170.6.0.?, 7140.12.0.? |
$[]$ |
| 57120.c2 |
57120d2 |
57120.c |
57120d |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3 \cdot 5^{10} \cdot 7^{5} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768000$ |
$2.097565$ |
$209834491151416256/142301455078125$ |
$1.00559$ |
$4.40092$ |
$[0, -1, 0, 198079, 14000721]$ |
\(y^2=x^3-x^2+198079x+14000721\) |
2.3.0.a.1, 84.6.0.?, 340.6.0.?, 7140.12.0.? |
$[]$ |
| 57120.d1 |
57120a2 |
57120.d |
57120a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$0.785847203$ |
$1$ |
|
$21$ |
$294912$ |
$1.688478$ |
$24697593872812232/6652917455625$ |
$0.94885$ |
$4.01572$ |
$[0, -1, 0, -48536, 3025236]$ |
\(y^2=x^3-x^2-48536x+3025236\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(188, 714), (-84, 2550)]$ |
| 57120.d2 |
57120a1 |
57120.d |
57120a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{8} \cdot 7 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$3.143388812$ |
$1$ |
|
$13$ |
$147456$ |
$1.341904$ |
$793097061902144/1088152734375$ |
$1.01051$ |
$3.54073$ |
$[0, -1, 0, 7714, 302736]$ |
\(y^2=x^3-x^2+7714x+302736\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(-25, 306), (128, 1836)]$ |
| 57120.e1 |
57120bi2 |
57120.e |
57120bi |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3 \cdot 5^{5} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14280$ |
$12$ |
$0$ |
$15.80929571$ |
$1$ |
|
$1$ |
$245760$ |
$1.625723$ |
$203648257981030472/318755259375$ |
$0.95252$ |
$4.20833$ |
$[0, -1, 0, -98056, -11769800]$ |
\(y^2=x^3-x^2-98056x-11769800\) |
2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.? |
$[(7009689/43, 18490838716/43)]$ |
| 57120.e2 |
57120bi1 |
57120.e |
57120bi |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14280$ |
$12$ |
$0$ |
$7.904647857$ |
$1$ |
|
$3$ |
$122880$ |
$1.279150$ |
$-137996054243776/512490234375$ |
$0.94551$ |
$3.53522$ |
$[0, -1, 0, -4306, -294800]$ |
\(y^2=x^3-x^2-4306x-294800\) |
2.3.0.a.1, 120.6.0.?, 238.6.0.?, 14280.12.0.? |
$[(3786, 232888)]$ |
| 57120.f1 |
57120bf1 |
57120.f |
57120bf |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1.203870293$ |
$1$ |
|
$5$ |
$9216$ |
$0.019609$ |
$2077552576/37485$ |
$0.84377$ |
$2.33850$ |
$[0, -1, 0, -106, -380]$ |
\(y^2=x^3-x^2-106x-380\) |
2.3.0.a.1, 84.6.0.?, 170.6.0.?, 7140.12.0.? |
$[(-6, 2)]$ |
| 57120.f2 |
57120bf2 |
57120.f |
57120bf |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$2.407740587$ |
$1$ |
|
$5$ |
$18432$ |
$0.366183$ |
$-64/151725$ |
$1.11025$ |
$2.52922$ |
$[0, -1, 0, -1, -1199]$ |
\(y^2=x^3-x^2-x-1199\) |
2.3.0.a.1, 84.6.0.?, 340.6.0.?, 7140.12.0.? |
$[(15, 44)]$ |
| 57120.g1 |
57120bg2 |
57120.g |
57120bg |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1.081274260$ |
$1$ |
|
$7$ |
$36864$ |
$0.596550$ |
$4775581504/1911735$ |
$0.85059$ |
$2.79419$ |
$[0, -1, 0, -561, -2655]$ |
\(y^2=x^3-x^2-561x-2655\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[(29, 68)]$ |
| 57120.g2 |
57120bg1 |
57120.g |
57120bg |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$2.162548520$ |
$1$ |
|
$5$ |
$18432$ |
$0.249977$ |
$2537716544/2168775$ |
$0.85155$ |
$2.35676$ |
$[0, -1, 0, 114, -360]$ |
\(y^2=x^3-x^2+114x-360\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[(4, 12)]$ |
| 57120.h1 |
57120bd2 |
57120.h |
57120bd |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$7.334549992$ |
$1$ |
|
$1$ |
$430080$ |
$1.980238$ |
$52714296298872149824/3318984375$ |
$1.06394$ |
$4.90547$ |
$[0, -1, 0, -1249841, -537395295]$ |
\(y^2=x^3-x^2-1249841x-537395295\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[(15445/3, 1314100/3)]$ |
| 57120.h2 |
57120bd1 |
57120.h |
57120bd |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{14} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$14.66909998$ |
$1$ |
|
$1$ |
$215040$ |
$1.633665$ |
$-818964485892588736/6536865234375$ |
$1.05075$ |
$4.14679$ |
$[0, -1, 0, -77966, -8410920]$ |
\(y^2=x^3-x^2-77966x-8410920\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[(2414404/75, 2566820708/75)]$ |
| 57120.i1 |
57120be4 |
57120.i |
57120be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.50 |
2B |
$56$ |
$48$ |
$0$ |
$5.183074967$ |
$1$ |
|
$5$ |
$1179648$ |
$2.444962$ |
$281593586003787470649664/4096575$ |
$1.04630$ |
$5.68913$ |
$[0, -1, 0, -21848401, 39314980801]$ |
\(y^2=x^3-x^2-21848401x+39314980801\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 28.24.0-28.h.1.2, 56.48.0-56.br.1.6 |
$[(18541, 2451060)]$ |
| 57120.i2 |
57120be3 |
57120.i |
57120be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$1.295768741$ |
$1$ |
|
$3$ |
$1179648$ |
$2.444962$ |
$574821721947776978312/33916307072078025$ |
$0.98905$ |
$4.93375$ |
$[0, -1, 0, -1385776, 595488376]$ |
\(y^2=x^3-x^2-1385776x+595488376\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.bc.1.8 |
$[(1981, 74970)]$ |
| 57120.i3 |
57120be1 |
57120.i |
57120be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$2.591537483$ |
$1$ |
|
$7$ |
$589824$ |
$2.098385$ |
$4399911864308960802496/16781926730625$ |
$1.03423$ |
$4.92972$ |
$[0, -1, 0, -1365526, 614636776]$ |
\(y^2=x^3-x^2-1365526x+614636776\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.a.1.1, 56.48.0-56.b.1.7 |
$[(555, 5236)]$ |
| 57120.i4 |
57120be2 |
57120.i |
57120be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{16} \cdot 5^{8} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.103 |
2B |
$56$ |
$48$ |
$0$ |
$5.183074967$ |
$1$ |
|
$3$ |
$1179648$ |
$2.444962$ |
$-525905395756906402952/34016998665234375$ |
$1.11203$ |
$4.93530$ |
$[0, -1, 0, -1345296, 633709620]$ |
\(y^2=x^3-x^2-1345296x+633709620\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 28.12.0-4.c.1.2, 56.48.0-56.bt.1.3 |
$[(589, 6732)]$ |
| 57120.j1 |
57120bh1 |
57120.j |
57120bh |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 7^{11} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$8.245743408$ |
$1$ |
|
$0$ |
$1013760$ |
$2.267323$ |
$1349291235048644096/1102725464669955$ |
$0.98868$ |
$4.57083$ |
$[0, -1, 0, 368339, 55121701]$ |
\(y^2=x^3-x^2+368339x+55121701\) |
1190.2.0.? |
$[(78775/7, 23763132/7)]$ |
| 57120.k1 |
57120b2 |
57120.k |
57120b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$0.758412$ |
$168562517824/5310375$ |
$0.92478$ |
$3.11957$ |
$[0, -1, 0, -1841, -28959]$ |
\(y^2=x^3-x^2-1841x-28959\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[]$ |
| 57120.k2 |
57120b1 |
57120.k |
57120b |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.411839$ |
$65939264/16734375$ |
$0.99713$ |
$2.57870$ |
$[0, -1, 0, 34, -1584]$ |
\(y^2=x^3-x^2+34x-1584\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[]$ |
| 57120.l1 |
57120bk1 |
57120.l |
57120bk |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.402665938$ |
$1$ |
|
$5$ |
$61440$ |
$0.879808$ |
$9849886929856/3551730525$ |
$0.97625$ |
$3.11126$ |
$[0, -1, 0, -1786, 18436]$ |
\(y^2=x^3-x^2-1786x+18436\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(-6, 170)]$ |
| 57120.l2 |
57120bk2 |
57120.l |
57120bk |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.805331876$ |
$1$ |
|
$3$ |
$122880$ |
$1.226381$ |
$4343512642496/4180964445$ |
$0.97934$ |
$3.41621$ |
$[0, -1, 0, 5439, 123921]$ |
\(y^2=x^3-x^2+5439x+123921\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(79, 1020)]$ |
| 57120.m1 |
57120e4 |
57120.m |
57120e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{5} \cdot 5^{4} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$327680$ |
$1.568554$ |
$6339205438176147272/18073125$ |
$0.96916$ |
$4.52223$ |
$[0, -1, 0, -308456, 66041256]$ |
\(y^2=x^3-x^2-308456x+66041256\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
| 57120.m2 |
57120e3 |
57120.m |
57120e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{5} \cdot 5 \cdot 7^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.568554$ |
$440433161360704/243648714015$ |
$0.98974$ |
$3.83793$ |
$[0, -1, 0, -25361, 334785]$ |
\(y^2=x^3-x^2-25361x+334785\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$ |
$[]$ |
| 57120.m3 |
57120e1 |
57120.m |
57120e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$163840$ |
$1.221979$ |
$12396319007409856/20904822225$ |
$0.96171$ |
$3.76293$ |
$[0, -1, 0, -19286, 1035840]$ |
\(y^2=x^3-x^2-19286x+1035840\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 952.12.0.?, $\ldots$ |
$[]$ |
| 57120.m4 |
57120e2 |
57120.m |
57120e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{20} \cdot 5 \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$327680$ |
$1.568554$ |
$-512345677765832/2074636718595$ |
$0.94841$ |
$3.85171$ |
$[0, -1, 0, -13336, 1680820]$ |
\(y^2=x^3-x^2-13336x+1680820\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[]$ |
| 57120.n1 |
57120bl1 |
57120.n |
57120bl |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 7^{5} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1.182646149$ |
$1$ |
|
$4$ |
$1413120$ |
$2.554939$ |
$-201059505072925571584/17772439481841555$ |
$0.99262$ |
$5.04067$ |
$[0, -1, 0, -1952781, 1128354885]$ |
\(y^2=x^3-x^2-1952781x+1128354885\) |
1190.2.0.? |
$[(3399, 183708)]$ |
| 57120.o1 |
57120g1 |
57120.o |
57120g |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$0.780725114$ |
$1$ |
|
$5$ |
$73728$ |
$1.066059$ |
$3142674596138176/1672768125$ |
$0.93387$ |
$3.63764$ |
$[0, -1, 0, -12206, 522900]$ |
\(y^2=x^3-x^2-12206x+522900\) |
2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.? |
$[(46, 238)]$ |
| 57120.o2 |
57120g2 |
57120.o |
57120g |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$0.390362557$ |
$1$ |
|
$13$ |
$147456$ |
$1.412632$ |
$-27664172766784/36450601425$ |
$0.92014$ |
$3.69361$ |
$[0, -1, 0, -10081, 708625]$ |
\(y^2=x^3-x^2-10081x+708625\) |
2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.? |
$[(-27, 980)]$ |
| 57120.p1 |
57120bm4 |
57120.p |
57120bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$0.813634$ |
$8918680587272/26309115$ |
$0.88642$ |
$3.29205$ |
$[0, -1, 0, -3456, -76860]$ |
\(y^2=x^3-x^2-3456x-76860\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 136.24.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
| 57120.p2 |
57120bm3 |
57120.p |
57120bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{8} \cdot 5 \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$0.813634$ |
$953926283584/3903795$ |
$0.86745$ |
$3.27782$ |
$[0, -1, 0, -3281, 73185]$ |
\(y^2=x^3-x^2-3281x+73185\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 68.12.0-4.c.1.2, 136.24.0.?, $\ldots$ |
$[]$ |
| 57120.p3 |
57120bm1 |
57120.p |
57120bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32768$ |
$0.467061$ |
$49673699776/28676025$ |
$0.95037$ |
$2.62831$ |
$[0, -1, 0, -306, 0]$ |
\(y^2=x^3-x^2-306x\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 68.12.0-2.a.1.1, 136.24.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
| 57120.p4 |
57120bm2 |
57120.p |
57120bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$0.813634$ |
$395770245688/229595625$ |
$0.95841$ |
$3.00764$ |
$[0, -1, 0, 1224, -1224]$ |
\(y^2=x^3-x^2+1224x-1224\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$ |
$[]$ |
| 57120.q1 |
57120bn4 |
57120.q |
57120bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{16} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3538944$ |
$2.676418$ |
$62314369513367297808392/92660064697265625$ |
$1.00443$ |
$5.36157$ |
$[0, -1, 0, -6607616, -6526947720]$ |
\(y^2=x^3-x^2-6607616x-6526947720\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 68.12.0-4.c.1.1, 136.48.0.? |
$[]$ |
| 57120.q2 |
57120bn3 |
57120.q |
57120bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3538944$ |
$2.676418$ |
$28506170433026107954952/219375210881255625$ |
$1.00196$ |
$5.29017$ |
$[0, -1, 0, -5091296, 4393912596]$ |
\(y^2=x^3-x^2-5091296x+4393912596\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 136.48.0.? |
$[]$ |
| 57120.q3 |
57120bn1 |
57120.q |
57120bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 7^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$136$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1769472$ |
$2.329845$ |
$264678042909331239616/144047290644140625$ |
$1.06072$ |
$4.67309$ |
$[0, -1, 0, -535046, -36584904]$ |
\(y^2=x^3-x^2-535046x-36584904\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 68.24.0-68.a.1.2, 136.48.0.? |
$[]$ |
| 57120.q4 |
57120bn2 |
57120.q |
57120bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{24} \cdot 5^{4} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3538944$ |
$2.676418$ |
$238816829348755096256/147039877430420625$ |
$1.06103$ |
$5.04341$ |
$[0, -1, 0, 2068079, -290129279]$ |
\(y^2=x^3-x^2+2068079x-290129279\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 68.24.0-68.h.1.1, 136.48.0.? |
$[]$ |
| 57120.r1 |
57120f2 |
57120.r |
57120f |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{5} \cdot 5^{3} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$1.840757$ |
$7215215110932838472/1032767040375$ |
$0.96975$ |
$4.53405$ |
$[0, -1, 0, -322056, 70445700]$ |
\(y^2=x^3-x^2-322056x+70445700\) |
2.3.0.a.1, 120.6.0.?, 476.6.0.?, 14280.12.0.? |
$[]$ |
| 57120.r2 |
57120f1 |
57120.r |
57120f |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$322560$ |
$1.494183$ |
$-10601024450147776/5379917484375$ |
$0.95110$ |
$3.80614$ |
$[0, -1, 0, -18306, 1312200]$ |
\(y^2=x^3-x^2-18306x+1312200\) |
2.3.0.a.1, 120.6.0.?, 238.6.0.?, 14280.12.0.? |
$[]$ |
| 57120.s1 |
57120j1 |
57120.s |
57120j |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$114688$ |
$1.158791$ |
$14392174284270784/2765188125$ |
$0.94349$ |
$3.77656$ |
$[0, -1, 0, -20270, -1103868]$ |
\(y^2=x^3-x^2-20270x-1103868\) |
2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.? |
$[]$ |
| 57120.s2 |
57120j2 |
57120.s |
57120j |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$229376$ |
$1.505363$ |
$-161309006433856/99605329425$ |
$0.92527$ |
$3.81252$ |
$[0, -1, 0, -18145, -1346543]$ |
\(y^2=x^3-x^2-18145x-1346543\) |
2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.? |
$[]$ |
| 57120.t1 |
57120br2 |
57120.t |
57120br |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3^{13} \cdot 5^{10} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7188480$ |
$3.187981$ |
$81502838291924224499262016/12969443935546875$ |
$1.04631$ |
$6.20661$ |
$[0, -1, 0, -144522785, 668780840817]$ |
\(y^2=x^3-x^2-144522785x+668780840817\) |
2.3.0.a.1, 140.6.0.?, 204.6.0.?, 7140.12.0.? |
$[]$ |
| 57120.t2 |
57120br1 |
57120.t |
57120br |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{26} \cdot 5^{5} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3594240$ |
$2.841408$ |
$-1261951554161129784785344/16069358033467396875$ |
$1.03575$ |
$5.44836$ |
$[0, -1, 0, -9005330, 10518354900]$ |
\(y^2=x^3-x^2-9005330x+10518354900\) |
2.3.0.a.1, 70.6.0.a.1, 204.6.0.?, 7140.12.0.? |
$[]$ |
| 57120.u1 |
57120bq4 |
57120.u |
57120bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.965993$ |
$155391138846728/42170625$ |
$0.90853$ |
$3.55296$ |
$[0, -1, 0, -8960, -323400]$ |
\(y^2=x^3-x^2-8960x-323400\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 136.24.0.?, 2040.48.0.? |
$[]$ |
| 57120.u2 |
57120bq3 |
57120.u |
57120bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$0.965993$ |
$2154686591296/61387935$ |
$0.97391$ |
$3.35221$ |
$[0, -1, 0, -4305, 107457]$ |
\(y^2=x^3-x^2-4305x+107457\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 136.24.0.?, 2040.48.0.? |
$[]$ |
