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 |
24640.a1 |
24640be2 |
24640.a |
24640be |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{18} \cdot 5^{4} \cdot 7^{2} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$2.068519020$ |
$1$ |
|
$17$ |
$32768$ |
$0.895226$ |
$18420660721/336875$ |
$0.86183$ |
$3.57130$ |
$[0, 1, 0, -3521, -80321]$ |
\(y^2=x^3+x^2-3521x-80321\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(-33, 32), (95, 672)]$ |
24640.a2 |
24640be1 |
24640.a |
24640be |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{18} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$2.068519020$ |
$1$ |
|
$19$ |
$16384$ |
$0.548652$ |
$-1/21175$ |
$1.05851$ |
$2.95605$ |
$[0, 1, 0, -1, -3585]$ |
\(y^2=x^3+x^2-x-3585\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(47, 320), (17, 40)]$ |
24640.b1 |
24640bc4 |
24640.b |
24640bc |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.888538$ |
$4823468134087681/30382271150$ |
$0.95452$ |
$4.80501$ |
$[0, 1, 0, -225281, 40856575]$ |
\(y^2=x^3+x^2-225281x+40856575\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 42.24.0-6.a.1.1, $\ldots$ |
$[]$ |
24640.b2 |
24640bc2 |
24640.b |
24640bc |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.339231$ |
$2177286259681/105875000$ |
$0.90546$ |
$4.04324$ |
$[0, 1, 0, -17281, -842625]$ |
\(y^2=x^3+x^2-17281x-842625\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 42.24.0-6.a.1.2, $\ldots$ |
$[]$ |
24640.b3 |
24640bc3 |
24640.b |
24640bc |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{20} \cdot 5 \cdot 7^{6} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.541965$ |
$-80677568161/3131816380$ |
$0.95293$ |
$4.13474$ |
$[0, 1, 0, -5761, 1386879]$ |
\(y^2=x^3+x^2-5761x+1386879\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 56.6.0.d.1, $\ldots$ |
$[]$ |
24640.b4 |
24640bc1 |
24640.b |
24640bc |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{24} \cdot 5^{3} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.992659$ |
$109902239/4312000$ |
$0.89937$ |
$3.48032$ |
$[0, 1, 0, 639, -50561]$ |
\(y^2=x^3+x^2+639x-50561\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 56.6.0.d.1, $\ldots$ |
$[]$ |
24640.c1 |
24640bd2 |
24640.c |
24640bd |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{12} \cdot 5 \cdot 7^{4} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$348160$ |
$2.165516$ |
$584872717700154304/311378782335005$ |
$1.09240$ |
$4.86821$ |
$[0, 1, 0, -278761, 15933495]$ |
\(y^2=x^3+x^2-278761x+15933495\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[]$ |
24640.c2 |
24640bd1 |
24640.c |
24640bd |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 5^{2} \cdot 7^{8} \cdot 11^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$174080$ |
$1.818943$ |
$18084500649301589056/23210674146275$ |
$1.06406$ |
$4.79627$ |
$[0, 1, 0, -218736, 39259210]$ |
\(y^2=x^3+x^2-218736x+39259210\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[]$ |
24640.d1 |
24640bh2 |
24640.d |
24640bh |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{12} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.842149704$ |
$1$ |
|
$7$ |
$12288$ |
$0.506375$ |
$62287505344/29645$ |
$0.93147$ |
$3.28050$ |
$[0, 1, 0, -1321, 18039]$ |
\(y^2=x^3+x^2-1321x+18039\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[(10, 77)]$ |
24640.d2 |
24640bh1 |
24640.d |
24640bh |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 5^{2} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.684299409$ |
$1$ |
|
$3$ |
$6144$ |
$0.159801$ |
$1544804416/660275$ |
$1.08730$ |
$2.50363$ |
$[0, 1, 0, -96, 154]$ |
\(y^2=x^3+x^2-96x+154\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[(9, 10)]$ |
24640.e1 |
24640h2 |
24640.e |
24640h |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{15} \cdot 5^{6} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.296349$ |
$7080100070408/648484375$ |
$0.89948$ |
$3.95421$ |
$[0, 1, 0, -12801, 507199]$ |
\(y^2=x^3+x^2-12801x+507199\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[]$ |
24640.e2 |
24640h1 |
24640.e |
24640h |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.949775$ |
$20933297216/161767375$ |
$0.90062$ |
$3.42127$ |
$[0, 1, 0, 919, 37975]$ |
\(y^2=x^3+x^2+919x+37975\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[]$ |
24640.f1 |
24640bi4 |
24640.f |
24640bi |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{14} \cdot 5^{2} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$4.304874203$ |
$1$ |
|
$3$ |
$331776$ |
$2.134789$ |
$3259751350395879376/3806353980275$ |
$0.97311$ |
$5.17520$ |
$[0, 1, 0, -784561, 266946735]$ |
\(y^2=x^3+x^2-784561x+266946735\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 24.24.0-6.a.1.14, $\ldots$ |
$[(597, 3420)]$ |
24640.f2 |
24640bi3 |
24640.f |
24640bi |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$2.152437101$ |
$1$ |
|
$3$ |
$165888$ |
$1.788216$ |
$52112158467655991296/71177645$ |
$1.08004$ |
$5.17511$ |
$[0, 1, 0, -784341, 267104299]$ |
\(y^2=x^3+x^2-784341x+267104299\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.14, $\ldots$ |
$[(430, 3087)]$ |
24640.f3 |
24640bi2 |
24640.f |
24640bi |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{14} \cdot 5^{6} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1.434958067$ |
$1$ |
|
$5$ |
$110592$ |
$1.585484$ |
$329890530231376/49933296875$ |
$0.92505$ |
$4.26556$ |
$[0, 1, 0, -36561, -2324465]$ |
\(y^2=x^3+x^2-36561x-2324465\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 24.24.0-6.a.1.6, $\ldots$ |
$[(-94, 539)]$ |
24640.f4 |
24640bi1 |
24640.f |
24640bi |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 5^{3} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$0.717479033$ |
$1$ |
|
$7$ |
$55296$ |
$1.238911$ |
$106110329552896/10850811125$ |
$1.03569$ |
$3.87920$ |
$[0, 1, 0, -9941, 342859]$ |
\(y^2=x^3+x^2-9941x+342859\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 24.24.0-6.a.1.6, $\ldots$ |
$[(27, 308)]$ |
24640.g1 |
24640bn2 |
24640.g |
24640bn |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{17} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.511044707$ |
$1$ |
|
$9$ |
$16384$ |
$0.607917$ |
$1189646642/21175$ |
$0.95307$ |
$3.23181$ |
$[0, 1, 0, -1121, 13855]$ |
\(y^2=x^3+x^2-1121x+13855\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(7, 80)]$ |
24640.g2 |
24640bn1 |
24640.g |
24640bn |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{16} \cdot 5 \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1.022089415$ |
$1$ |
|
$7$ |
$8192$ |
$0.261343$ |
$-4/2695$ |
$0.94832$ |
$2.61510$ |
$[0, 1, 0, -1, 639]$ |
\(y^2=x^3+x^2-x+639\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(5, 28)]$ |
24640.h1 |
24640r2 |
24640.h |
24640r |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{14} \cdot 5^{2} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.417476231$ |
$1$ |
|
$9$ |
$18432$ |
$0.615870$ |
$1193895376/660275$ |
$0.85133$ |
$3.02652$ |
$[0, 1, 0, -561, -1265]$ |
\(y^2=x^3+x^2-561x-1265\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[(-9, 56)]$ |
24640.h2 |
24640r1 |
24640.h |
24640r |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.834952462$ |
$1$ |
|
$7$ |
$9216$ |
$0.269296$ |
$4294967296/29645$ |
$1.07594$ |
$2.87894$ |
$[0, 1, 0, -341, 2299]$ |
\(y^2=x^3+x^2-341x+2299\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[(15, 28)]$ |
24640.i1 |
24640bq2 |
24640.i |
24640bq |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{22} \cdot 5^{8} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.626600$ |
$67324767141241/3368750000$ |
$0.93010$ |
$4.38258$ |
$[0, 1, 0, -54241, -4665441]$ |
\(y^2=x^3+x^2-54241x-4665441\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[]$ |
24640.i2 |
24640bq1 |
24640.i |
24640bq |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{26} \cdot 5^{4} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.280025$ |
$3789119879/135520000$ |
$0.92906$ |
$3.82112$ |
$[0, 1, 0, 2079, -283745]$ |
\(y^2=x^3+x^2+2079x-283745\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[]$ |
24640.j1 |
24640q1 |
24640.j |
24640q |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1.409382702$ |
$1$ |
|
$3$ |
$24576$ |
$0.656915$ |
$8736724668736/40761875$ |
$0.90235$ |
$3.35809$ |
$[0, 1, 0, -1716, -27830]$ |
\(y^2=x^3+x^2-1716x-27830\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(77, 550)]$ |
24640.j2 |
24640q2 |
24640.j |
24640q |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 5^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$0.704691351$ |
$1$ |
|
$7$ |
$49152$ |
$1.003489$ |
$-16079333824/310023175$ |
$0.91738$ |
$3.49622$ |
$[0, 1, 0, -841, -55305]$ |
\(y^2=x^3+x^2-841x-55305\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(67, 440)]$ |
24640.k1 |
24640bs4 |
24640.k |
24640bs |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{27} \cdot 5^{6} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1.727226370$ |
$1$ |
|
$7$ |
$663552$ |
$2.437241$ |
$423783056881319689/99207416000000$ |
$0.98254$ |
$5.24762$ |
$[0, 1, 0, -1001505, -298021025]$ |
\(y^2=x^3+x^2-1001505x-298021025\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 42.24.0-6.a.1.1, $\ldots$ |
$[(-345, 2560)]$ |
24640.k2 |
24640bs2 |
24640.k |
24640bs |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{21} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$5.181679111$ |
$1$ |
|
$3$ |
$221184$ |
$1.887934$ |
$346553430870203929/8300600$ |
$0.97551$ |
$5.22773$ |
$[0, 1, 0, -936545, -349164257]$ |
\(y^2=x^3+x^2-936545x-349164257\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 42.24.0-6.a.1.2, $\ldots$ |
$[(7383, 628672)]$ |
24640.k3 |
24640bs1 |
24640.k |
24640bs |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{24} \cdot 5 \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$10.36335822$ |
$1$ |
|
$1$ |
$110592$ |
$1.541359$ |
$-84309998289049/414124480$ |
$0.93048$ |
$4.40566$ |
$[0, 1, 0, -58465, -5483745]$ |
\(y^2=x^3+x^2-58465x-5483745\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 56.6.0.d.1, $\ldots$ |
$[(666223/19, 539009536/19)]$ |
24640.k4 |
24640bs3 |
24640.k |
24640bs |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{36} \cdot 5^{3} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$3.454452740$ |
$1$ |
|
$5$ |
$331776$ |
$2.090664$ |
$1296134247276791/2137096192000$ |
$0.96746$ |
$4.73585$ |
$[0, 1, 0, 145375, -28962977]$ |
\(y^2=x^3+x^2+145375x-28962977\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 56.6.0.d.1, $\ldots$ |
$[(181, 1820)]$ |
24640.l1 |
24640bt4 |
24640.l |
24640bt |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{20} \cdot 5^{12} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$0.701172927$ |
$1$ |
|
$9$ |
$663552$ |
$2.462383$ |
$1969902499564819009/63690429687500$ |
$0.98376$ |
$5.39957$ |
$[0, 1, 0, -1671425, 807597823]$ |
\(y^2=x^3+x^2-1671425x+807597823\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 28.6.0.c.1, $\ldots$ |
$[(991, 11200)]$ |
24640.l2 |
24640bt2 |
24640.l |
24640bt |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{24} \cdot 5^{4} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$2.103518781$ |
$1$ |
|
$7$ |
$221184$ |
$1.913076$ |
$5057359576472449/51765560000$ |
$0.95486$ |
$4.80970$ |
$[0, 1, 0, -228865, -41844225]$ |
\(y^2=x^3+x^2-228865x-41844225\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 28.6.0.c.1, $\ldots$ |
$[(-257, 256)]$ |
24640.l3 |
24640bt1 |
24640.l |
24640bt |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{30} \cdot 5^{2} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$4.207037562$ |
$1$ |
|
$5$ |
$110592$ |
$1.566504$ |
$-19443408769/4249907200$ |
$0.97281$ |
$4.16373$ |
$[0, 1, 0, -3585, -1609217]$ |
\(y^2=x^3+x^2-3585x-1609217\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.6, $\ldots$ |
$[(138, 737)]$ |
24640.l4 |
24640bt3 |
24640.l |
24640bt |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{22} \cdot 5^{6} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1.402345854$ |
$1$ |
|
$5$ |
$331776$ |
$2.115810$ |
$14156681599871/3100231750000$ |
$1.00754$ |
$4.81513$ |
$[0, 1, 0, 32255, 43326975]$ |
\(y^2=x^3+x^2+32255x+43326975\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.14, $\ldots$ |
$[(-65, 6400)]$ |
24640.m1 |
24640u2 |
24640.m |
24640u |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{15} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.608950127$ |
$1$ |
|
$7$ |
$8192$ |
$0.387172$ |
$38614472/21175$ |
$0.93099$ |
$2.75574$ |
$[0, 1, 0, -225, 223]$ |
\(y^2=x^3+x^2-225x+223\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(-9, 40)]$ |
24640.m2 |
24640u1 |
24640.m |
24640u |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 5 \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1.217900254$ |
$1$ |
|
$5$ |
$4096$ |
$0.040598$ |
$4410944/2695$ |
$0.75172$ |
$2.33555$ |
$[0, 1, 0, 55, 55]$ |
\(y^2=x^3+x^2+55x+55\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(3, 16)]$ |
24640.n1 |
24640y2 |
24640.n |
24640y |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{19} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.848707$ |
$43949604889/42350$ |
$0.87006$ |
$3.65729$ |
$[0, 1, 0, -4705, -125697]$ |
\(y^2=x^3+x^2-4705x-125697\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[]$ |
24640.n2 |
24640y1 |
24640.n |
24640y |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{20} \cdot 5 \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.502133$ |
$-4826809/10780$ |
$0.90292$ |
$2.91207$ |
$[0, 1, 0, -225, -2945]$ |
\(y^2=x^3+x^2-225x-2945\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[]$ |
24640.o1 |
24640bv2 |
24640.o |
24640bv |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 5^{4} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$0.497418091$ |
$1$ |
|
$9$ |
$16384$ |
$0.674672$ |
$592143556/336875$ |
$1.03098$ |
$3.09427$ |
$[0, 1, 0, -705, 703]$ |
\(y^2=x^3+x^2-705x+703\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(-9, 80)]$ |
24640.o2 |
24640bv1 |
24640.o |
24640bv |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$0.994836182$ |
$1$ |
|
$7$ |
$8192$ |
$0.328098$ |
$35969456/21175$ |
$0.81787$ |
$2.68017$ |
$[0, 1, 0, 175, 175]$ |
\(y^2=x^3+x^2+175x+175\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(10, 55)]$ |
24640.p1 |
24640b4 |
24640.p |
24640b |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{15} \cdot 5^{2} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$0.890859540$ |
$1$ |
|
$7$ |
$32768$ |
$0.990619$ |
$1497979362888/2562175$ |
$0.90716$ |
$3.80062$ |
$[0, 0, 0, -7628, 256048]$ |
\(y^2=x^3-7628x+256048\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 56.24.0-56.s.1.2, $\ldots$ |
$[(54, 40)]$ |
24640.p2 |
24640b2 |
24640.p |
24640b |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{12} \cdot 5^{4} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$616$ |
$48$ |
$0$ |
$1.781719080$ |
$1$ |
|
$9$ |
$16384$ |
$0.644045$ |
$6687175104/3705625$ |
$0.98715$ |
$3.05981$ |
$[0, 0, 0, -628, 1248]$ |
\(y^2=x^3-628x+1248\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 44.12.0.a.1, 56.24.0-56.b.1.4, $\ldots$ |
$[(-12, 84)]$ |
24640.p3 |
24640b1 |
24640.p |
24640b |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{6} \cdot 5^{2} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$3.563438161$ |
$1$ |
|
$3$ |
$8192$ |
$0.297472$ |
$97082300736/660275$ |
$0.93086$ |
$2.91311$ |
$[0, 0, 0, -383, -2868]$ |
\(y^2=x^3-383x-2868\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 44.12.0.h.1, 56.24.0-56.y.1.6, $\ldots$ |
$[(24, 42)]$ |
24640.p4 |
24640b3 |
24640.p |
24640b |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{15} \cdot 5^{8} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$616$ |
$48$ |
$0$ |
$3.563438161$ |
$1$ |
|
$3$ |
$32768$ |
$0.990619$ |
$49754821752/30078125$ |
$0.93737$ |
$3.46392$ |
$[0, 0, 0, 2452, 9872]$ |
\(y^2=x^3+2452x+9872\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.y.1.1, $\ldots$ |
$[(32, 348)]$ |
24640.q1 |
24640z4 |
24640.q |
24640z |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{17} \cdot 5 \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$32768$ |
$1.171310$ |
$239369344910082/385$ |
$0.95904$ |
$4.43947$ |
$[0, 0, 0, -65708, -6482992]$ |
\(y^2=x^3-65708x-6482992\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.y.1.1, $\ldots$ |
$[]$ |
24640.q2 |
24640z3 |
24640.q |
24640z |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{17} \cdot 5^{4} \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.171310$ |
$120564797922/64054375$ |
$0.94477$ |
$3.68854$ |
$[0, 0, 0, -5228, -41648]$ |
\(y^2=x^3-5228x-41648\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 28.12.0-4.c.1.1, 56.24.0-56.s.1.2, $\ldots$ |
$[]$ |
24640.q3 |
24640z2 |
24640.q |
24640z |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{16} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$16384$ |
$0.824737$ |
$116986321764/148225$ |
$0.97968$ |
$3.61701$ |
$[0, 0, 0, -4108, -101232]$ |
\(y^2=x^3-4108x-101232\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.4, 220.12.0.?, $\ldots$ |
$[]$ |
24640.q4 |
24640z1 |
24640.q |
24640z |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{14} \cdot 5 \cdot 7^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.478163$ |
$-44851536/132055$ |
$0.92573$ |
$2.88062$ |
$[0, 0, 0, -188, -2448]$ |
\(y^2=x^3-188x-2448\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.y.1.6, 110.6.0.?, $\ldots$ |
$[]$ |
24640.r1 |
24640ba4 |
24640.r |
24640ba |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{22} \cdot 5 \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.995115$ |
$1010962818911303721/57392720$ |
$1.00694$ |
$5.33360$ |
$[0, 0, 0, -1338188, 595831952]$ |
\(y^2=x^3-1338188x+595831952\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[]$ |
24640.r2 |
24640ba3 |
24640.r |
24640ba |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{22} \cdot 5^{4} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.995115$ |
$1160306142246441/634128110000$ |
$1.01881$ |
$4.66411$ |
$[0, 0, 0, -140108, -4760432]$ |
\(y^2=x^3-140108x-4760432\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.z.1.3, 44.12.0.h.1, $\ldots$ |
$[]$ |
24640.r3 |
24640ba2 |
24640.r |
24640ba |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{26} \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.648540$ |
$248158561089321/1859334400$ |
$0.99943$ |
$4.51159$ |
$[0, 0, 0, -83788, 9274512]$ |
\(y^2=x^3-83788x+9274512\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.2, 44.12.0.a.1, $\ldots$ |
$[]$ |
24640.r4 |
24640ba1 |
24640.r |
24640ba |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{34} \cdot 5 \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.301968$ |
$-2749884201/176619520$ |
$1.01909$ |
$3.84982$ |
$[0, 0, 0, -1868, 328848]$ |
\(y^2=x^3-1868x+328848\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.z.1.9, 88.24.0.?, $\ldots$ |
$[]$ |