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 (42 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
840.f4	840g1	840.f	840g	$[0, -1, 0, -735, 7920]$	$0$	$[4]$
1680.p4	1680h1	1680.p	1680h	$[0, 1, 0, -735, -7920]$	$1$	$[2]$
2520.g4	2520g1	2520.g	2520g	$[0, 0, 0, -6618, -207223]$	$1$	$[2]$
4200.z4	4200k1	4200.z	4200k	$[0, 1, 0, -18383, 953238]$	$0$	$[4]$
5040.j4	5040i1	5040.j	5040i	$[0, 0, 0, -6618, 207223]$	$0$	$[2]$
5880.z4	5880bc1	5880.z	5880bc	$[0, 1, 0, -36031, -2644510]$	$0$	$[2]$
6720.h4	6720bh1	6720.h	6720bh	$[0, -1, 0, -2941, -60419]$	$0$	$[2]$
6720.bn4	6720w1	6720.bn	6720w	$[0, 1, 0, -2941, 60419]$	$1$	$[2]$
8400.q4	8400j1	8400.q	8400j	$[0, -1, 0, -18383, -953238]$	$0$	$[2]$
11760.c4	11760f1	11760.c	11760f	$[0, -1, 0, -36031, 2644510]$	$0$	$[2]$
12600.e4	12600bw1	12600.e	12600bw	$[0, 0, 0, -165450, -25902875]$	$1$	$[2]$
17640.bp4	17640bg1	17640.bp	17640bg	$[0, 0, 0, -324282, 71077489]$	$0$	$[2]$
20160.dc4	20160ew1	20160.dc	20160ew	$[0, 0, 0, -26472, 1657784]$	$0$	$[2]$
20160.fk4	20160cn1	20160.fk	20160cn	$[0, 0, 0, -26472, -1657784]$	$0$	$[2]$
25200.fp4	25200bs1	25200.fp	25200bs	$[0, 0, 0, -165450, 25902875]$	$1$	$[2]$
29400.cc4	29400o1	29400.cc	29400o	$[0, -1, 0, -900783, -328762188]$	$0$	$[2]$
33600.l4	33600m1	33600.l	33600m	$[0, -1, 0, -73533, 7699437]$	$1$	$[2]$
33600.hh4	33600gu1	33600.hh	33600gu	$[0, 1, 0, -73533, -7699437]$	$0$	$[2]$
35280.fo4	35280cl1	35280.fo	35280cl	$[0, 0, 0, -324282, -71077489]$	$0$	$[2]$
47040.ch4	47040br1	47040.ch	47040br	$[0, -1, 0, -144125, -21011955]$	$1$	$[2]$
47040.he4	47040hd1	47040.he	47040hd	$[0, 1, 0, -144125, 21011955]$	$1$	$[2]$
58800.fq4	58800do1	58800.fq	58800do	$[0, 1, 0, -900783, 328762188]$	$1$	$[2]$
88200.s4	88200hd1	88200.s	88200hd	$[0, 0, 0, -8107050, 8884686125]$	$0$	$[2]$
100800.go4	100800ea1	100800.go	100800ea	$[0, 0, 0, -661800, -207223000]$	$0$	$[2]$
100800.iw4	100800ny1	100800.iw	100800ny	$[0, 0, 0, -661800, 207223000]$	$2$	$[2]$
101640.v4	101640k1	101640.v	101640k	$[0, -1, 0, -88975, -10185668]$	$1$	$[2]$
141120.v4	141120da1	141120.v	141120da	$[0, 0, 0, -1297128, -568619912]$	$0$	$[2]$
141120.gq4	141120mr1	141120.gq	141120mr	$[0, 0, 0, -1297128, 568619912]$	$1$	$[2]$
141960.a4	141960ck1	141960.a	141960ck	$[0, -1, 0, -124271, 16903236]$	$1$	$[2]$
176400.rt4	176400qm1	176400.rt	176400qm	$[0, 0, 0, -8107050, -8884686125]$	$1$	$[2]$
203280.hh4	203280ev1	203280.hh	203280ev	$[0, 1, 0, -88975, 10185668]$	$1$	$[2]$
235200.mn4	235200mn1	235200.mn	235200mn	$[0, -1, 0, -3603133, 2633700637]$	$1$	$[2]$
235200.qn4	235200qn1	235200.qn	235200qn	$[0, 1, 0, -3603133, -2633700637]$	$1$	$[2]$
242760.by4	242760by1	242760.by	242760by	$[0, 1, 0, -212511, 37636074]$	$1$	$[2]$
283920.gc4	283920gc1	283920.gc	283920gc	$[0, 1, 0, -124271, -16903236]$	$1$	$[2]$
303240.ce4	303240ce1	303240.ce	303240ce	$[0, 1, 0, -265455, -52730802]$	$1$	$[2]$
304920.r4	304920r1	304920.r	304920r	$[0, 0, 0, -800778, 275813813]$	$2$	$[2]$
425880.dv4	425880dv1	425880.dv	425880dv	$[0, 0, 0, -1118442, -455268931]$	$0$	$[2]$
444360.a4	444360a1	444360.a	444360a	$[0, -1, 0, -388991, -93251160]$	$1$	$[2]$
485520.ca4	485520ca1	485520.ca	485520ca	$[0, -1, 0, -212511, -37636074]$	$0$	$[2]$
705600.hy4	-	705600.hy	-	$[0, 0, 0, -32428200, -71077489000]$	$0$	$[2]$
705600.bxl4	-	705600.bxl	-	$[0, 0, 0, -32428200, 71077489000]$	$1$	$[2]$