Elliptic curve search results

Conductor	j-invariant	Rank	Torsion	Complex multiplication
Bad$\ p$	Discriminant	Regulator	Analytic order of Ш	Galois image
Isogeny class size	Isogeny class degree	Cyclic isogeny degree	$p\ $div$\ $|Ш|	Nonmax$\ \ell$
Curves per isogeny class	Reduction	Integral points	Faltings height

Results (1-50 of 5316 matches)

 

Curve		Isogeny class		Weierstrass coefficients	Rank	Torsion
LMFDB label	Cremona label	LMFDB label	Cremona label
27.a3	27a1	27.a	27a	$[0, 0, 1, 0, -7]$	$0$	$[3]$
27.a4	27a3	27.a	27a	$[0, 0, 1, 0, 0]$	$0$	$[3]$
36.a3	36a3	36.a	36a	$[0, 0, 0, 0, -27]$	$0$	$[2]$
36.a4	36a1	36.a	36a	$[0, 0, 0, 0, 1]$	$0$	$[6]$
108.a1	108a2	108.a	108a	$[0, 0, 0, 0, -108]$	$0$	trivial
108.a2	108a1	108.a	108a	$[0, 0, 0, 0, 4]$	$0$	$[3]$
144.a3	144a1	144.a	144a	$[0, 0, 0, 0, -1]$	$0$	$[2]$
144.a4	144a3	144.a	144a	$[0, 0, 0, 0, 27]$	$0$	$[2]$
225.c1	225a2	225.c	225a	$[0, 0, 1, 0, -34]$	$1$	trivial
225.c2	225a1	225.c	225a	$[0, 0, 1, 0, 1]$	$1$	trivial
225.d1	225b2	225.d	225b	$[0, 0, 1, 0, -4219]$	$0$	trivial
225.d2	225b1	225.d	225b	$[0, 0, 1, 0, 156]$	$0$	$[3]$
243.a1	243a1	243.a	243a	$[0, 0, 1, 0, -1]$	$1$	trivial
243.a2	243a2	243.a	243a	$[0, 0, 1, 0, 20]$	$1$	$[3]$
243.b1	243b2	243.b	243b	$[0, 0, 1, 0, -61]$	$0$	trivial
243.b2	243b1	243.b	243b	$[0, 0, 1, 0, 2]$	$0$	$[3]$
432.d1	432b1	432.d	432b	$[0, 0, 0, 0, -4]$	$1$	trivial
432.d2	432b2	432.d	432b	$[0, 0, 0, 0, 108]$	$1$	trivial
432.e3	432a1	432.e	432a	$[0, 0, 0, 0, -16]$	$0$	trivial
432.e4	432a3	432.e	432a	$[0, 0, 0, 0, 432]$	$0$	trivial
441.d1	441b2	441.d	441b	$[0, 0, 1, 0, -331]$	$1$	trivial
441.d2	441b1	441.d	441b	$[0, 0, 1, 0, 12]$	$1$	$[3]$
441.e1	441a1	441.e	441a	$[0, 0, 1, 0, -4202]$	$0$	trivial
441.e2	441a2	441.e	441a	$[0, 0, 1, 0, 113447]$	$0$	trivial
576.e3	576a3	576.e	576a	$[0, 0, 0, 0, -216]$	$1$	$[2]$
576.e4	576a1	576.e	576a	$[0, 0, 0, 0, 8]$	$1$	$[2]$
576.f3	576e1	576.f	576e	$[0, 0, 0, 0, -8]$	$0$	$[2]$
576.f4	576e3	576.f	576e	$[0, 0, 0, 0, 216]$	$0$	$[2]$
675.d1	675c2	675.d	675c	$[0, 0, 1, 0, -169]$	$0$	trivial
675.d2	675c1	675.d	675c	$[0, 0, 1, 0, 6]$	$0$	$[3]$
675.e3	675a2	675.e	675a	$[0, 0, 1, 0, -844]$	$1$	trivial
675.e4	675a1	675.e	675a	$[0, 0, 1, 0, 31]$	$1$	trivial
675.f1	675e2	675.f	675e	$[0, 0, 1, 0, -21094]$	$0$	trivial
675.f2	675e1	675.f	675e	$[0, 0, 1, 0, 781]$	$0$	trivial
900.d1	900c2	900.d	900c	$[0, 0, 0, 0, -2700]$	$1$	trivial
900.d2	900c1	900.d	900c	$[0, 0, 0, 0, 100]$	$1$	$[3]$
900.f1	900a2	900.f	900a	$[0, 0, 0, 0, -337500]$	$0$	trivial
900.f2	900a1	900.f	900a	$[0, 0, 0, 0, 12500]$	$0$	trivial
900.g3	900b3	900.g	900b	$[0, 0, 0, 0, -3375]$	$0$	$[2]$
900.g4	900b1	900.g	900b	$[0, 0, 0, 0, 125]$	$0$	$[2]$
972.a1	972d2	972.a	972d	$[0, 0, 0, 0, -972]$	$1$	trivial
972.a2	972d1	972.a	972d	$[0, 0, 0, 0, 36]$	$1$	$[3]$
972.b1	972c2	972.b	972c	$[0, 0, 0, 0, -243]$	$1$	trivial
972.b2	972c1	972.b	972c	$[0, 0, 0, 0, 9]$	$1$	$[3]$
972.c1	972a1	972.c	972a	$[0, 0, 0, 0, -12]$	$0$	trivial
972.c2	972a2	972.c	972a	$[0, 0, 0, 0, 324]$	$0$	$[3]$
972.d1	972b1	972.d	972b	$[0, 0, 0, 0, -3]$	$0$	trivial
972.d2	972b2	972.d	972b	$[0, 0, 0, 0, 81]$	$0$	$[3]$
1089.e1	1089b1	1089.e	1089b	$[0, 0, 1, 0, -40263]$	$0$	trivial
1089.e2	1089b2	1089.e	1089b	$[0, 0, 1, 0, 1087094]$	$0$	trivial