Elliptic curves over $\Q$ of conductor 1827

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 (13 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
1827.a1	1827d2	1827.a	1827d	$[1, -1, 1, -1391, -19614]$	$0$	$[2]$
1827.a2	1827d1	1827.a	1827d	$[1, -1, 1, -86, -300]$	$0$	$[2]$
1827.b1	1827c2	1827.b	1827c	$[1, -1, 1, -320, -2100]$	$1$	$[2]$
1827.b2	1827c1	1827.b	1827c	$[1, -1, 1, -5, -84]$	$1$	$[2]$
1827.c1	1827a1	1827.c	1827a	$[1, -1, 0, 0, 49]$	$1$	trivial
1827.d1	1827b3	1827.d	1827b	$[1, -1, 0, -1841616, -961476971]$	$1$	$[2]$
1827.d2	1827b5	1827.d	1827b	$[1, -1, 0, -382221, 74033554]$	$1$	$[2]$
1827.d3	1827b4	1827.d	1827b	$[1, -1, 0, -117306, -14395073]$	$1$	$[2, 2]$
1827.d4	1827b2	1827.d	1827b	$[1, -1, 0, -115101, -15001448]$	$1$	$[2, 2]$
1827.d5	1827b1	1827.d	1827b	$[1, -1, 0, -7056, -242501]$	$1$	$[2]$
1827.d6	1827b6	1827.d	1827b	$[1, -1, 0, 112329, -64042160]$	$1$	$[2]$
1827.e1	1827e2	1827.e	1827e	$[0, 0, 1, -19353, 1036381]$	$0$	trivial
1827.e2	1827e1	1827.e	1827e	$[0, 0, 1, 177, 31]$	$0$	trivial