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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
450840.a1 |
450840a4 |
450840.a |
450840a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$17680$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$31457280$ |
$3.008709$ |
$19129597231400697604/26325$ |
$[0, -1, 0, -162302496, -795804498180]$ |
\(y^2=x^3-x^2-162302496x-795804498180\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
450840.a2 |
450840a2 |
450840.a |
450840a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$8840$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$3$ |
$15728640$ |
$2.662132$ |
$18681746265374416/693005625$ |
$[0, -1, 0, -10143996, -12431676780]$ |
\(y^2=x^3-x^2-10143996x-12431676780\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 52.24.0.b.1, 68.24.0-4.a.1.1, $\ldots$ |
$[]$ |
450840.a3 |
450840a3 |
450840.a |
450840a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 13^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$17680$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$31457280$ |
$3.008709$ |
$-4053153720264484/903687890625$ |
$[0, -1, 0, -9675816, -13631528484]$ |
\(y^2=x^3-x^2-9675816x-13631528484\) |
2.3.0.a.1, 4.24.0.c.1, 68.48.0-4.c.1.1, 104.48.1.?, 1040.96.3.?, $\ldots$ |
$[]$ |
450840.a4 |
450840a1 |
450840.a |
450840a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$17680$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$7864320$ |
$2.315559$ |
$83587439220736/13990184325$ |
$[0, -1, 0, -663351, -175098924]$ |
\(y^2=x^3-x^2-663351x-175098924\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
450840.b1 |
450840b1 |
450840.b |
450840b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{3} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1.861813336$ |
$1$ |
|
$4$ |
$2488320$ |
$1.689896$ |
$-824122740964/16216331625$ |
$[0, -1, 0, -13016, 3385980]$ |
\(y^2=x^3-x^2-13016x+3385980\) |
260.2.0.? |
$[(-166, 972)]$ |
450840.c1 |
450840c2 |
450840.c |
450840c |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1.314954072$ |
$1$ |
|
$7$ |
$7077888$ |
$2.148472$ |
$1705021456336/68471325$ |
$[0, -1, 0, -456716, 114756516]$ |
\(y^2=x^3-x^2-456716x+114756516\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(40, 9826)]$ |
450840.c2 |
450840c1 |
450840.c |
450840c |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$2.629908144$ |
$1$ |
|
$5$ |
$3538944$ |
$1.801897$ |
$615962624/48481875$ |
$[0, -1, 0, 12909, 6554916]$ |
\(y^2=x^3-x^2+12909x+6554916\) |
2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.? |
$[(125, 3179)]$ |
450840.d1 |
450840d1 |
450840.d |
450840d |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10967040$ |
$2.491390$ |
$15208100924/9140625$ |
$[0, -1, 0, 994064, 74608636]$ |
\(y^2=x^3-x^2+994064x+74608636\) |
260.2.0.? |
$[]$ |
450840.e1 |
450840e1 |
450840.e |
450840e |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 13^{5} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6630$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61102080$ |
$3.187794$ |
$-1026767289066496/50316682419315$ |
$[0, -1, 0, -3856801, -26984195195]$ |
\(y^2=x^3-x^2-3856801x-26984195195\) |
6630.2.0.? |
$[]$ |
450840.f1 |
450840f1 |
450840.f |
450840f |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{7} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$4.874705627$ |
$1$ |
|
$2$ |
$6967296$ |
$2.212746$ |
$7767586344704/6060234375$ |
$[0, -1, 0, 300464, -37505735]$ |
\(y^2=x^3-x^2+300464x-37505735\) |
510.2.0.? |
$[(240, 6955)]$ |
450840.g1 |
450840g6 |
450840.g |
450840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{11} \cdot 3 \cdot 5 \cdot 13^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$53040$ |
$192$ |
$1$ |
$10.52562965$ |
$1$ |
|
$1$ |
$51904512$ |
$3.282982$ |
$397210600760070242/3536192675535$ |
$[0, -1, 0, -56204816, -160913091060]$ |
\(y^2=x^3-x^2-56204816x-160913091060\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 68.12.0-4.c.1.1, 120.48.0.?, $\ldots$ |
$[(564241/4, 413344273/4)]$ |
450840.g2 |
450840g4 |
450840.g |
450840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$26520$ |
$192$ |
$1$ |
$5.262814827$ |
$1$ |
|
$7$ |
$25952256$ |
$2.936409$ |
$1011710313226084/536724738225$ |
$[0, -1, 0, -6092216, 1672228380]$ |
\(y^2=x^3-x^2-6092216x+1672228380\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 68.24.0-4.b.1.1, 104.48.0.?, $\ldots$ |
$[(109, 31772)]$ |
450840.g3 |
450840g2 |
450840.g |
450840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$26520$ |
$192$ |
$1$ |
$2.631407413$ |
$1$ |
|
$9$ |
$12976128$ |
$2.589832$ |
$1969080716416336/2472575625$ |
$[0, -1, 0, -4791716, 4034456580]$ |
\(y^2=x^3-x^2-4791716x+4034456580\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 52.24.0-4.b.1.2, 68.24.0-4.b.1.3, $\ldots$ |
$[(398, 46800)]$ |
450840.g4 |
450840g1 |
450840.g |
450840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$53040$ |
$192$ |
$1$ |
$1.315703706$ |
$1$ |
|
$5$ |
$6488064$ |
$2.243259$ |
$31476797652269056/49725$ |
$[0, -1, 0, -4790271, 4037012496]$ |
\(y^2=x^3-x^2-4790271x+4037012496\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 52.12.0-4.c.1.2, $\ldots$ |
$[(1536, 17340)]$ |
450840.g5 |
450840g3 |
450840.g |
450840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$53040$ |
$192$ |
$1$ |
$1.315703706$ |
$4$ |
$2$ |
$7$ |
$25952256$ |
$2.936409$ |
$-194204905090564/566398828125$ |
$[0, -1, 0, -3514336, 6233083036]$ |
\(y^2=x^3-x^2-3514336x+6233083036\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 52.12.0-4.c.1.1, 68.12.0-4.c.1.2, $\ldots$ |
$[(-1082, 93636)]$ |
450840.g6 |
450840g5 |
450840.g |
450840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$53040$ |
$192$ |
$1$ |
$10.52562965$ |
$4$ |
$2$ |
$3$ |
$51904512$ |
$3.282982$ |
$27980756504588158/17683545112935$ |
$[0, -1, 0, 23212384, 13054135020]$ |
\(y^2=x^3-x^2+23212384x+13054135020\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 68.12.0-4.c.1.1, $\ldots$ |
$[(34789, 6551612)]$ |
450840.h1 |
450840h1 |
450840.h |
450840h |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.963914746$ |
$1$ |
|
$11$ |
$409600$ |
$0.755291$ |
$152818608128/7605$ |
$[0, -1, 0, -4771, 128440]$ |
\(y^2=x^3-x^2-4771x+128440\) |
2.3.0.a.1, 60.6.0.d.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(39, 13), (364/3, 26/3)]$ |
450840.h2 |
450840h2 |
450840.h |
450840h |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 13^{4} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.963914746$ |
$1$ |
|
$13$ |
$819200$ |
$1.101864$ |
$-8100185168/2142075$ |
$[0, -1, 0, -4516, 142516]$ |
\(y^2=x^3-x^2-4516x+142516\) |
2.3.0.a.1, 60.6.0.d.1, 102.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(6, 340), (38, 156)]$ |
450840.i1 |
450840i1 |
450840.i |
450840i |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$17860608$ |
$2.691353$ |
$57254027008/415803375$ |
$[0, -1, 0, 994064, 1296103261]$ |
\(y^2=x^3-x^2+994064x+1296103261\) |
510.2.0.? |
$[]$ |
450840.j1 |
450840j1 |
450840.j |
450840j |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.026161386$ |
$1$ |
|
$2$ |
$487296$ |
$0.666981$ |
$-577136162/8775$ |
$[0, -1, 0, -1456, 22156]$ |
\(y^2=x^3-x^2-1456x+22156\) |
312.2.0.? |
$[(21, 20)]$ |
450840.k1 |
450840k2 |
450840.k |
450840k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{30} \cdot 5^{2} \cdot 13^{7} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$16.93798498$ |
$1$ |
|
$1$ |
$8918138880$ |
$5.828140$ |
$245689277968779868090419995701456/93342399137270122585475925$ |
$[0, -1, 0, -2394410795036, -1425618290334931260]$ |
\(y^2=x^3-x^2-2394410795036x-1425618290334931260\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-495241772504/745, 8916185601921494/745)]$ |
450840.k2 |
450840k1 |
450840.k |
450840k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{15} \cdot 5^{4} \cdot 13^{14} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$33.87596996$ |
$1$ |
|
$1$ |
$4459069440$ |
$5.481567$ |
$-595213448747095198927846967296/600281130562949295663181875$ |
$[0, -1, 0, -127620618411, -29061556541257860]$ |
\(y^2=x^3-x^2-127620618411x-29061556541257860\) |
2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.? |
$[(1255067072402456513/1111421, 1295297186936770557360075125/1111421)]$ |
450840.l1 |
450840l2 |
450840.l |
450840l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1892352$ |
$1.593225$ |
$434163602/7605$ |
$[0, -1, 0, -57896, 5299500]$ |
\(y^2=x^3-x^2-57896x+5299500\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
450840.l2 |
450840l1 |
450840.l |
450840l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$946176$ |
$1.246653$ |
$-4/975$ |
$[0, -1, 0, -96, 236220]$ |
\(y^2=x^3-x^2-96x+236220\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
450840.m1 |
450840m1 |
450840.m |
450840m |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{14} \cdot 5^{5} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60318720$ |
$3.317554$ |
$-45601559816836/194308115625$ |
$[0, -1, 0, -14334496, 60413952220]$ |
\(y^2=x^3-x^2-14334496x+60413952220\) |
260.2.0.? |
$[]$ |
450840.n1 |
450840n1 |
450840.n |
450840n |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$4.526861237$ |
$1$ |
|
$2$ |
$2480640$ |
$1.651209$ |
$-504871936/394875$ |
$[0, -1, 0, -30441, 3145005]$ |
\(y^2=x^3-x^2-30441x+3145005\) |
390.2.0.? |
$[(5, 1730)]$ |
450840.o1 |
450840o1 |
450840.o |
450840o |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{3} \cdot 13^{3} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$76.69343422$ |
$1$ |
|
$0$ |
$141709824$ |
$3.461849$ |
$3103032160078/1801814625$ |
$[0, -1, 0, 48748424, 7605648076]$ |
\(y^2=x^3-x^2+48748424x+7605648076\) |
520.2.0.? |
$[(4758915379956874282138068992207653/1493924669252314, 1160952448207186321274275519038226781743393485494949/1493924669252314)]$ |
450840.p1 |
450840p4 |
450840.p |
450840p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$56623104$ |
$3.257465$ |
$79364416584061444/20404090514925$ |
$[0, -1, 0, -26079456, -38206192644]$ |
\(y^2=x^3-x^2-26079456x-38206192644\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0-8.o.1.2, $\ldots$ |
$[]$ |
450840.p2 |
450840p2 |
450840.p |
450840p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$26520$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$3$ |
$28311552$ |
$2.910889$ |
$13813960087661776/714574355625$ |
$[0, -1, 0, -9172956, 10207260756]$ |
\(y^2=x^3-x^2-9172956x+10207260756\) |
2.6.0.a.1, 4.12.0.a.1, 24.24.0-4.a.1.3, 52.24.0.b.1, 68.24.0-4.a.1.1, $\ldots$ |
$[]$ |
450840.p3 |
450840p1 |
450840.p |
450840p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$14155776$ |
$2.564316$ |
$212670222886967296/616241925$ |
$[0, -1, 0, -9055911, 10492288740]$ |
\(y^2=x^3-x^2-9055911x+10492288740\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0-8.o.1.2, $\ldots$ |
$[]$ |
450840.p4 |
450840p3 |
450840.p |
450840p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$53040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$56623104$ |
$3.257465$ |
$900753985478876/29018422265625$ |
$[0, -1, 0, 5860824, 40377050460]$ |
\(y^2=x^3-x^2+5860824x+40377050460\) |
2.3.0.a.1, 4.12.0.d.1, 12.24.0-4.d.1.2, 68.24.0-4.d.1.1, 104.24.0.?, $\ldots$ |
$[]$ |
450840.q1 |
450840q4 |
450840.q |
450840q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 13^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$113246208$ |
$3.458271$ |
$916959671620739147236/2731145625$ |
$[0, -1, 0, -589576280, -5509886168100]$ |
\(y^2=x^3-x^2-589576280x-5509886168100\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 34.6.0.a.1, 68.24.0-68.g.1.1, 104.24.0.?, $\ldots$ |
$[]$ |
450840.q2 |
450840q2 |
450840.q |
450840q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 13^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$884$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$56623104$ |
$3.111698$ |
$896581610757188944/1545359765625$ |
$[0, -1, 0, -36863780, -86007863100]$ |
\(y^2=x^3-x^2-36863780x-86007863100\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 68.24.0-68.b.1.2, 884.48.0.? |
$[]$ |
450840.q3 |
450840q3 |
450840.q |
450840q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{16} \cdot 13 \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$113246208$ |
$3.458271$ |
$-73039208963041156/303497314453125$ |
$[0, -1, 0, -25367360, -140643449508]$ |
\(y^2=x^3-x^2-25367360x-140643449508\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 136.24.0.?, 884.24.0.?, $\ldots$ |
$[]$ |
450840.q4 |
450840q1 |
450840.q |
450840q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28311552$ |
$2.765125$ |
$8027441608013824/4452347908125$ |
$[0, -1, 0, -3037775, -414540048]$ |
\(y^2=x^3-x^2-3037775x-414540048\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
450840.r1 |
450840r1 |
450840.r |
450840r |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6266880$ |
$2.148701$ |
$-1156/585$ |
$[0, -1, 0, -27840, -52893540]$ |
\(y^2=x^3-x^2-27840x-52893540\) |
260.2.0.? |
$[]$ |
450840.s1 |
450840s2 |
450840.s |
450840s |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 13^{3} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1027768320$ |
$4.678642$ |
$21208997008348807455199568/61790625$ |
$[0, -1, 0, -179897678420, -29368756943723100]$ |
\(y^2=x^3-x^2-179897678420x-29368756943723100\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? |
$[]$ |
450840.s2 |
450840s1 |
450840.s |
450840s |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{10} \cdot 13^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$513884160$ |
$4.332069$ |
$-82847542748407455193088/141410419921875$ |
$[0, -1, 0, -11243600295, -458884411110600]$ |
\(y^2=x^3-x^2-11243600295x-458884411110600\) |
2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[]$ |
450840.t1 |
450840t1 |
450840.t |
450840t |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$0.811763971$ |
$1$ |
|
$23$ |
$344064$ |
$0.744062$ |
$82843472/38025$ |
$[0, -1, 0, -980, 5700]$ |
\(y^2=x^3-x^2-980x+5700\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.e.1, 884.12.0.? |
$[(40, 170), (32, 78)]$ |
450840.t2 |
450840t2 |
450840.t |
450840t |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 13 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.247055884$ |
$1$ |
|
$13$ |
$688128$ |
$1.090635$ |
$894594172/658125$ |
$[0, -1, 0, 3440, 39292]$ |
\(y^2=x^3-x^2+3440x+39292\) |
2.3.0.a.1, 52.6.0.e.1, 68.6.0.c.1, 884.12.0.? |
$[(14, 300), (-2, 180)]$ |
450840.u1 |
450840u1 |
450840.u |
450840u |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 13^{3} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$97763328$ |
$3.502197$ |
$330999787611942608/200201625$ |
$[0, -1, 0, -449567340, -3668785137900]$ |
\(y^2=x^3-x^2-449567340x-3668785137900\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? |
$[]$ |
450840.u2 |
450840u2 |
450840.u |
450840u |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 13^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$195526656$ |
$3.848770$ |
$-81293584906713092/2036310046875$ |
$[0, -1, 0, -446914320, -3714227125668]$ |
\(y^2=x^3-x^2-446914320x-3714227125668\) |
2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[]$ |
450840.v1 |
450840v1 |
450840.v |
450840v |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 5^{3} \cdot 13^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43794432$ |
$3.028450$ |
$-430468214044178/827032912875$ |
$[0, -1, 0, -5773160, -11095074900]$ |
\(y^2=x^3-x^2-5773160x-11095074900\) |
26520.2.0.? |
$[]$ |
450840.w1 |
450840w4 |
450840.w |
450840w |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 13^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$14155776$ |
$2.611473$ |
$1887517194957938/21849165$ |
$[0, -1, 0, -9449240, -11176780980]$ |
\(y^2=x^3-x^2-9449240x-11176780980\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
450840.w2 |
450840w2 |
450840.w |
450840w |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$7077888$ |
$2.264900$ |
$994958062276/98903025$ |
$[0, -1, 0, -605840, -164979300]$ |
\(y^2=x^3-x^2-605840x-164979300\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 104.12.0.?, 136.12.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
450840.w3 |
450840w1 |
450840.w |
450840w |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 13 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3538944$ |
$1.918325$ |
$46689225424/7249905$ |
$[0, -1, 0, -137660, 16861812]$ |
\(y^2=x^3-x^2-137660x+16861812\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
450840.w4 |
450840w3 |
450840.w |
450840w |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 13 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14155776$ |
$2.611473$ |
$931329171502/6107473125$ |
$[0, -1, 0, 746680, -798499668]$ |
\(y^2=x^3-x^2+746680x-798499668\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
450840.x1 |
450840x4 |
450840.x |
450840x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1768$ |
$48$ |
$0$ |
$9.557692580$ |
$1$ |
|
$1$ |
$21233664$ |
$2.767384$ |
$26362547147244676/244298925$ |
$[0, -1, 0, -18061440, -29538245700]$ |
\(y^2=x^3-x^2-18061440x-29538245700\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(-120091/7, 149780/7)]$ |
450840.x2 |
450840x2 |
450840.x |
450840x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$884$ |
$48$ |
$0$ |
$4.778846290$ |
$1$ |
|
$5$ |
$10616832$ |
$2.420811$ |
$27572037674704/2472575625$ |
$[0, -1, 0, -1154940, -438777900]$ |
\(y^2=x^3-x^2-1154940x-438777900\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 68.24.0-68.a.1.2, 884.48.0.? |
$[(-534, 5040)]$ |
450840.x3 |
450840x1 |
450840.x |
450840x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1768$ |
$48$ |
$0$ |
$2.389423145$ |
$1$ |
|
$9$ |
$5308416$ |
$2.074238$ |
$4572531595264/776953125$ |
$[0, -1, 0, -251815, 40962100]$ |
\(y^2=x^3-x^2-251815x+40962100\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 136.24.0.?, 442.6.0.?, $\ldots$ |
$[(91, 4335)]$ |