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.c2	840b4	840.c	840b	$[0, -1, 0, -656, 4956]$	$0$	$[2]$
1680.k2	1680e3	1680.k	1680e	$[0, 1, 0, -656, -4956]$	$0$	$[2]$
2520.r2	2520t3	2520.r	2520t	$[0, 0, 0, -5907, -127906]$	$1$	$[2]$
4200.u2	4200w4	4200.u	4200w	$[0, 1, 0, -16408, 586688]$	$1$	$[2]$
5040.x2	5040o4	5040.x	5040o	$[0, 0, 0, -5907, 127906]$	$1$	$[4]$
5880.bf2	5880l3	5880.bf	5880l	$[0, 1, 0, -32160, -1635600]$	$0$	$[2]$
6720.u2	6720bn3	6720.u	6720bn	$[0, -1, 0, -2625, -37023]$	$1$	$[2]$
6720.cm2	6720bc4	6720.cm	6720bc	$[0, 1, 0, -2625, 37023]$	$0$	$[2]$
8400.z2	8400e3	8400.z	8400e	$[0, -1, 0, -16408, -586688]$	$0$	$[2]$
11760.z2	11760j4	11760.z	11760j	$[0, -1, 0, -32160, 1635600]$	$1$	$[4]$
12600.q2	12600l3	12600.q	12600l	$[0, 0, 0, -147675, -15988250]$	$0$	$[2]$
17640.u2	17640by4	17640.u	17640by	$[0, 0, 0, -289443, 43871758]$	$0$	$[2]$
20160.v2	20160do4	20160.v	20160do	$[0, 0, 0, -23628, 1023248]$	$1$	$[2]$
20160.ca2	20160bl3	20160.ca	20160bl	$[0, 0, 0, -23628, -1023248]$	$1$	$[2]$
25200.ep2	25200bl3	25200.ep	25200bl	$[0, 0, 0, -147675, 15988250]$	$1$	$[2]$
29400.bb2	29400cp3	29400.bb	29400cp	$[0, -1, 0, -804008, -202841988]$	$1$	$[2]$
33600.be2	33600b3	33600.be	33600b	$[0, -1, 0, -65633, 4759137]$	$1$	$[2]$
33600.gh2	33600gk3	33600.gh	33600gk	$[0, 1, 0, -65633, -4759137]$	$0$	$[2]$
35280.bs2	35280z3	35280.bs	35280z	$[0, 0, 0, -289443, -43871758]$	$1$	$[2]$
47040.r2	47040e3	47040.r	47040e	$[0, -1, 0, -128641, -12956159]$	$2$	$[2]$
47040.ep2	47040fv3	47040.ep	47040fv	$[0, 1, 0, -128641, 12956159]$	$0$	$[2]$
58800.hl2	58800ct3	58800.hl	58800ct	$[0, 1, 0, -804008, 202841988]$	$1$	$[2]$
88200.dz2	88200bw3	88200.dz	88200bw	$[0, 0, 0, -7236075, 5483969750]$	$1$	$[2]$
100800.du2	100800cz3	100800.du	100800cz	$[0, 0, 0, -590700, -127906000]$	$0$	$[2]$
100800.ma2	100800my3	100800.ma	100800my	$[0, 0, 0, -590700, 127906000]$	$0$	$[2]$
101640.f2	101640bp3	101640.f	101640bp	$[0, -1, 0, -79416, -6278820]$	$1$	$[2]$
141120.lu2	141120jc3	141120.lu	141120jc	$[0, 0, 0, -1157772, 350974064]$	$0$	$[2]$
141120.lv2	141120ba4	141120.lv	141120ba	$[0, 0, 0, -1157772, -350974064]$	$1$	$[2]$
141960.z2	141960v3	141960.z	141960v	$[0, -1, 0, -110920, 10444732]$	$1$	$[2]$
176400.je2	176400ox4	176400.je	176400ox	$[0, 0, 0, -7236075, -5483969750]$	$1$	$[2]$
203280.fc2	203280fr3	203280.fc	203280fr	$[0, 1, 0, -79416, 6278820]$	$0$	$[2]$
235200.ic2	235200ic3	235200.ic	235200ic	$[0, -1, 0, -3216033, 1625951937]$	$1$	$[2]$
235200.wn2	235200wn4	235200.wn	235200wn	$[0, 1, 0, -3216033, -1625951937]$	$1$	$[2]$
242760.da2	242760da3	242760.da	242760da	$[0, 1, 0, -189680, 23210928]$	$1$	$[2]$
283920.ia2	283920ia4	283920.ia	283920ia	$[0, 1, 0, -110920, -10444732]$	$0$	$[2]$
303240.bl2	303240bl4	303240.bl	303240bl	$[0, 1, 0, -236936, -32571840]$	$1$	$[2]$
304920.dm2	304920dm3	304920.dm	304920dm	$[0, 0, 0, -714747, 170242886]$	$0$	$[2]$
425880.o2	425880o4	425880.o	425880o	$[0, 0, 0, -998283, -281009482]$	$2$	$[2]$
444360.u2	444360u4	444360.u	444360u	$[0, -1, 0, -347200, -57522500]$	$1$	$[2]$
485520.dq2	485520dq4	485520.dq	485520dq	$[0, -1, 0, -189680, -23210928]$	$1$	$[2]$
705600.bcl2	-	705600.bcl	-	$[0, 0, 0, -28944300, 43871758000]$	$1$	$[2]$
705600.bcq2	-	705600.bcq	-	$[0, 0, 0, -28944300, -43871758000]$	$0$	$[2]$