Elliptic curve search results

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 1460 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
32.a3	32a2	32.a	32a	$[0, 0, 0, -1, 0]$	$0$	$[2, 2]$
32.a4	32a1	32.a	32a	$[0, 0, 0, 4, 0]$	$0$	$[4]$
64.a3	64a1	64.a	64a	$[0, 0, 0, -4, 0]$	$0$	$[2, 2]$
64.a4	64a4	64.a	64a	$[0, 0, 0, 1, 0]$	$0$	$[2]$
256.b1	256b1	256.b	256b	$[0, 0, 0, -2, 0]$	$1$	$[2]$
256.b2	256b2	256.b	256b	$[0, 0, 0, 8, 0]$	$1$	$[2]$
256.c1	256c2	256.c	256c	$[0, 0, 0, -8, 0]$	$0$	$[2]$
256.c2	256c1	256.c	256c	$[0, 0, 0, 2, 0]$	$0$	$[2]$
288.a1	288a2	288.a	288a	$[0, 0, 0, -12, 0]$	$1$	$[2]$
288.a2	288a1	288.a	288a	$[0, 0, 0, 3, 0]$	$1$	$[2]$
288.d3	288d1	288.d	288d	$[0, 0, 0, -9, 0]$	$0$	$[2, 2]$
288.d4	288d4	288.d	288d	$[0, 0, 0, 36, 0]$	$0$	$[2]$
288.e1	288e2	288.e	288e	$[0, 0, 0, -108, 0]$	$0$	$[2]$
288.e2	288e1	288.e	288e	$[0, 0, 0, 27, 0]$	$0$	$[2]$
576.a1	576g1	576.a	576g	$[0, 0, 0, -27, 0]$	$0$	$[2]$
576.a2	576g2	576.a	576g	$[0, 0, 0, 108, 0]$	$0$	$[2]$
576.c3	576h2	576.c	576h	$[0, 0, 0, -36, 0]$	$1$	$[2, 2]$
576.c4	576h1	576.c	576h	$[0, 0, 0, 9, 0]$	$1$	$[2]$
576.i1	576f1	576.i	576f	$[0, 0, 0, -3, 0]$	$0$	$[2]$
576.i2	576f2	576.i	576f	$[0, 0, 0, 12, 0]$	$0$	$[2]$
800.d3	800a1	800.d	800a	$[0, 0, 0, -25, 0]$	$1$	$[2, 2]$
800.d4	800a4	800.d	800a	$[0, 0, 0, 100, 0]$	$1$	$[2]$
800.e1	800h1	800.e	800h	$[0, 0, 0, -5, 0]$	$1$	$[2]$
800.e2	800h2	800.e	800h	$[0, 0, 0, 20, 0]$	$1$	$[2]$
800.f1	800d1	800.f	800d	$[0, 0, 0, -125, 0]$	$0$	$[2]$
800.f2	800d2	800.f	800d	$[0, 0, 0, 500, 0]$	$0$	$[2]$
1568.d1	1568b2	1568.d	1568b	$[0, 0, 0, -1372, 0]$	$0$	$[2]$
1568.d2	1568b1	1568.d	1568b	$[0, 0, 0, 343, 0]$	$0$	$[2]$
1568.e3	1568g1	1568.e	1568g	$[0, 0, 0, -49, 0]$	$1$	$[2, 2]$
1568.e4	1568g4	1568.e	1568g	$[0, 0, 0, 196, 0]$	$1$	$[2]$
1568.f1	1568a2	1568.f	1568a	$[0, 0, 0, -28, 0]$	$0$	$[2]$
1568.f2	1568a1	1568.f	1568a	$[0, 0, 0, 7, 0]$	$0$	$[2]$
1600.l1	1600u2	1600.l	1600u	$[0, 0, 0, -500, 0]$	$1$	$[2]$
1600.l2	1600u1	1600.l	1600u	$[0, 0, 0, 125, 0]$	$1$	$[2]$
1600.m1	1600t2	1600.m	1600t	$[0, 0, 0, -20, 0]$	$1$	$[2]$
1600.m2	1600t1	1600.m	1600t	$[0, 0, 0, 5, 0]$	$1$	$[2]$
1600.n3	1600o2	1600.n	1600o	$[0, 0, 0, -100, 0]$	$0$	$[2, 2]$
1600.n4	1600o1	1600.n	1600o	$[0, 0, 0, 25, 0]$	$0$	$[2]$
2304.a1	2304p2	2304.a	2304p	$[0, 0, 0, -72, 0]$	$1$	$[2]$
2304.a2	2304p1	2304.a	2304p	$[0, 0, 0, 18, 0]$	$1$	$[2]$
2304.c1	2304b1	2304.c	2304b	$[0, 0, 0, -6, 0]$	$1$	$[2]$
2304.c2	2304b2	2304.c	2304b	$[0, 0, 0, 24, 0]$	$1$	$[2]$
2304.d1	2304j2	2304.d	2304j	$[0, 0, 0, -216, 0]$	$0$	$[2]$
2304.d2	2304j1	2304.d	2304j	$[0, 0, 0, 54, 0]$	$0$	$[2]$
2304.m1	2304a1	2304.m	2304a	$[0, 0, 0, -54, 0]$	$1$	$[2]$
2304.m2	2304a2	2304.m	2304a	$[0, 0, 0, 216, 0]$	$1$	$[2]$
2304.n1	2304i2	2304.n	2304i	$[0, 0, 0, -24, 0]$	$0$	$[2]$
2304.n2	2304i1	2304.n	2304i	$[0, 0, 0, 6, 0]$	$0$	$[2]$
2304.p1	2304h1	2304.p	2304h	$[0, 0, 0, -18, 0]$	$0$	$[2]$
2304.p2	2304h2	2304.p	2304h	$[0, 0, 0, 72, 0]$	$0$	$[2]$