Elliptic curve search results

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

Results (34 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
3360.f3	3360e1	3360.f	3360e	$[0, -1, 0, -4326, 90576]$	$0$	$[2, 2]$
3360.n3	3360i1	3360.n	3360i	$[0, 1, 0, -4326, -90576]$	$0$	$[2, 2]$
6720.v2	6720bp2	6720.v	6720bp	$[0, -1, 0, -17305, -707303]$	$1$	$[2, 2]$
6720.ci2	6720cm2	6720.ci	6720cm	$[0, 1, 0, -17305, 707303]$	$1$	$[2, 2]$
10080.bq3	10080bw1	10080.bq	10080bw	$[0, 0, 0, -38937, 2406616]$	$0$	$[2, 2]$
10080.bu3	10080ce1	10080.bu	10080ce	$[0, 0, 0, -38937, -2406616]$	$1$	$[2, 2]$
16800.m3	16800bj1	16800.m	16800bj	$[0, -1, 0, -108158, -11105688]$	$1$	$[2, 2]$
16800.bm3	16800bt1	16800.bm	16800bt	$[0, 1, 0, -108158, 11105688]$	$1$	$[2, 2]$
20160.g2	20160dx2	20160.g	20160dx	$[0, 0, 0, -155748, 19252928]$	$1$	$[2, 2]$
20160.cn2	20160ef2	20160.cn	20160ef	$[0, 0, 0, -155748, -19252928]$	$0$	$[2, 2]$
23520.o3	23520j1	23520.o	23520j	$[0, -1, 0, -211990, 30643600]$	$1$	$[2, 2]$
23520.bv3	23520v1	23520.bv	23520v	$[0, 1, 0, -211990, -30643600]$	$0$	$[2, 2]$
33600.n2	33600ep2	33600.n	33600ep	$[0, -1, 0, -432633, 89278137]$	$0$	$[2, 2]$
33600.hj2	33600gs2	33600.hj	33600gs	$[0, 1, 0, -432633, -89278137]$	$0$	$[2, 2]$
47040.h2	47040eo2	47040.h	47040eo	$[0, -1, 0, -847961, -244300839]$	$1$	$[2, 2]$
47040.fj2	47040ge2	47040.fj	47040ge	$[0, 1, 0, -847961, 244300839]$	$0$	$[2, 2]$
50400.f3	50400bb1	50400.f	50400bb	$[0, 0, 0, -973425, -300827000]$	$0$	$[2, 2]$
50400.dx3	50400bn1	50400.dx	50400bn	$[0, 0, 0, -973425, 300827000]$	$1$	$[2, 2]$
70560.f3	70560dl1	70560.f	70560dl	$[0, 0, 0, -1907913, 825469288]$	$0$	$[2, 2]$
70560.bu3	70560de1	70560.bu	70560de	$[0, 0, 0, -1907913, -825469288]$	$0$	$[2, 2]$
100800.hb2	100800lt2	100800.hb	100800lt	$[0, 0, 0, -3893700, -2406616000]$	$1$	$[2, 2]$
100800.ji2	100800nw2	100800.ji	100800nw	$[0, 0, 0, -3893700, 2406616000]$	$0$	$[2, 2]$
117600.dr3	117600fb1	117600.dr	117600fb	$[0, -1, 0, -5299758, -3819850488]$	$1$	$[2, 2]$
117600.ex3	117600hd1	117600.ex	117600hd	$[0, 1, 0, -5299758, 3819850488]$	$0$	$[2, 2]$
141120.jf2	141120j2	141120.jf	141120j	$[0, 0, 0, -7631652, -6603754304]$	$1$	$[2, 2]$
141120.pc2	141120cd2	141120.pc	141120cd	$[0, 0, 0, -7631652, 6603754304]$	$1$	$[2, 2]$
235200.mb2	235200mb2	235200.mb	235200mb	$[0, -1, 0, -21199033, 30580002937]$	$1$	$[2, 2]$
235200.qa2	235200qa2	235200.qa	235200qa	$[0, 1, 0, -21199033, -30580002937]$	$0$	$[2, 2]$
352800.cl3	352800cl1	352800.cl	352800cl	$[0, 0, 0, -47697825, 103183661000]$	$1$	$[2, 2]$
352800.nk3	352800nk1	352800.nk	352800nk	$[0, 0, 0, -47697825, -103183661000]$	$1$	$[2, 2]$
406560.e3	406560e1	406560.e	406560e	$[0, -1, 0, -523486, -118462760]$	$1$	$[2, 2]$
406560.ea3	406560ea1	406560.ea	406560ea	$[0, 1, 0, -523486, 118462760]$	$1$	$[2, 2]$
705600.fy2	-	705600.fy	-	$[0, 0, 0, -190791300, -825469288000]$	$0$	$[2, 2]$
705600.bvf2	-	705600.bvf	-	$[0, 0, 0, -190791300, 825469288000]$	$0$	$[2, 2]$