Elliptic curves over $\Q$ of conductor 6864

Conductor	j-invariant	Rank	Torsion order	Torsion structure
Analytic order of Ш	$p$ div |Ш|	Maximal primes	Nonmax $p$	Bad $p$
Number of integral points	Regulator	CM	CM discriminant	Semistable
Curves per isogeny class	Cyclic isogeny degree	Isogeny class size	Isogeny class degree	Potential good reduction

Results (1-50 of 72 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
6864.a1	6864s2	6864.a	6864s	$[0, -1, 0, -9872, 381504]$	$2$	trivial
6864.a2	6864s1	6864.a	6864s	$[0, -1, 0, 208, 2496]$	$2$	trivial
6864.b1	6864e1	6864.b	6864e	$[0, -1, 0, 168, 144]$	$2$	trivial
6864.c1	6864n2	6864.c	6864n	$[0, -1, 0, -1864, 31600]$	$1$	$[2]$
6864.c2	6864n1	6864.c	6864n	$[0, -1, 0, -104, 624]$	$1$	$[2]$
6864.d1	6864c4	6864.d	6864c	$[0, -1, 0, -1704, 27600]$	$1$	$[2]$
6864.d2	6864c3	6864.d	6864c	$[0, -1, 0, -1464, -20976]$	$1$	$[2]$
6864.d3	6864c2	6864.d	6864c	$[0, -1, 0, -144, 144]$	$1$	$[2, 2]$
6864.d4	6864c1	6864.d	6864c	$[0, -1, 0, 36, 0]$	$1$	$[2]$
6864.e1	6864r3	6864.e	6864r	$[0, -1, 0, -109824, -13972032]$	$0$	$[2]$
6864.e2	6864r5	6864.e	6864r	$[0, -1, 0, -48144, 3953280]$	$0$	$[4]$
6864.e3	6864r4	6864.e	6864r	$[0, -1, 0, -7584, -167616]$	$0$	$[2, 4]$
6864.e4	6864r2	6864.e	6864r	$[0, -1, 0, -6864, -216576]$	$0$	$[2, 2]$
6864.e5	6864r1	6864.e	6864r	$[0, -1, 0, -384, -4032]$	$0$	$[2]$
6864.e6	6864r6	6864.e	6864r	$[0, -1, 0, 21456, -1166592]$	$0$	$[4]$
6864.f1	6864m2	6864.f	6864m	$[0, -1, 0, -11044, -438020]$	$1$	$[2]$
6864.f2	6864m1	6864.f	6864m	$[0, -1, 0, -109, -18116]$	$1$	$[2]$
6864.g1	6864j1	6864.g	6864j	$[0, -1, 0, -92390416, -342145483328]$	$0$	trivial
6864.g2	6864j2	6864.g	6864j	$[0, -1, 0, 261649424, 21474752782912]$	$0$	trivial
6864.h1	6864p4	6864.h	6864p	$[0, -1, 0, -7676908, 8189094508]$	$0$	$[2]$
6864.h2	6864p3	6864.h	6864p	$[0, -1, 0, -7676773, 8189396800]$	$0$	$[2]$
6864.h3	6864p2	6864.h	6864p	$[0, -1, 0, -193588, -15763556]$	$0$	$[2]$
6864.h4	6864p1	6864.h	6864p	$[0, -1, 0, -95173, 11162788]$	$0$	$[2]$
6864.i1	6864a2	6864.i	6864a	$[0, -1, 0, -40888, 2941984]$	$1$	$[2]$
6864.i2	6864a1	6864.i	6864a	$[0, -1, 0, 2852, 212608]$	$1$	$[2]$
6864.j1	6864q4	6864.j	6864q	$[0, -1, 0, -1042808, 410183280]$	$0$	$[2]$
6864.j2	6864q3	6864.j	6864q	$[0, -1, 0, -59768, 7530096]$	$0$	$[2]$
6864.j3	6864q2	6864.j	6864q	$[0, -1, 0, -28808, -1062672]$	$0$	$[2]$
6864.j4	6864q1	6864.j	6864q	$[0, -1, 0, 5752, -122640]$	$0$	$[2]$
6864.k1	6864k2	6864.k	6864k	$[0, -1, 0, -117952, 15612928]$	$0$	$[2]$
6864.k2	6864k1	6864.k	6864k	$[0, -1, 0, -5312, 384000]$	$0$	$[2]$
6864.l1	6864b2	6864.l	6864b	$[0, -1, 0, -352, 352]$	$1$	$[2]$
6864.l2	6864b1	6864.l	6864b	$[0, -1, 0, 88, 0]$	$1$	$[2]$
6864.m1	6864d3	6864.m	6864d	$[0, -1, 0, -69752, 7113888]$	$0$	$[4]$
6864.m2	6864d2	6864.m	6864d	$[0, -1, 0, -4412, 109440]$	$0$	$[2, 2]$
6864.m3	6864d1	6864.m	6864d	$[0, -1, 0, -767, -5742]$	$0$	$[2]$
6864.m4	6864d4	6864.m	6864d	$[0, -1, 0, 2608, 418320]$	$0$	$[2]$
6864.n1	6864f2	6864.n	6864f	$[0, -1, 0, -47312, -3238368]$	$1$	$[2]$
6864.n2	6864f1	6864.n	6864f	$[0, -1, 0, 5928, -299520]$	$1$	$[2]$
6864.o1	6864o1	6864.o	6864o	$[0, -1, 0, -1663784, -825471888]$	$1$	trivial
6864.o2	6864o2	6864.o	6864o	$[0, -1, 0, -1291544, -1204934928]$	$1$	trivial
6864.p1	6864l2	6864.p	6864l	$[0, -1, 0, -976, 11968]$	$0$	$[2]$
6864.p2	6864l1	6864.p	6864l	$[0, -1, 0, -16, 448]$	$0$	$[2]$
6864.q1	6864ba1	6864.q	6864ba	$[0, 1, 0, -9152, -7614156]$	$1$	trivial
6864.r1	6864h5	6864.r	6864h	$[0, 1, 0, -81504, 8907732]$	$1$	$[4]$
6864.r2	6864h3	6864.r	6864h	$[0, 1, 0, -7144, 14276]$	$1$	$[2, 4]$
6864.r3	6864h2	6864.r	6864h	$[0, 1, 0, -4724, -126084]$	$1$	$[2, 2]$
6864.r4	6864h1	6864.r	6864h	$[0, 1, 0, -4719, -126360]$	$1$	$[2]$
6864.r5	6864h4	6864.r	6864h	$[0, 1, 0, -2384, -248700]$	$1$	$[2]$
6864.r6	6864h6	6864.r	6864h	$[0, 1, 0, 28496, 142580]$	$1$	$[4]$