Elliptic curves over $\Q$ of conductor 27

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 (4 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
27.a1	27a2	27.a	27a	$[0, 0, 1, -270, -1708]$	$0$	trivial
27.a2	27a4	27.a	27a	$[0, 0, 1, -30, 63]$	$0$	$[3]$
27.a3	27a1	27.a	27a	$[0, 0, 1, 0, -7]$	$0$	$[3]$
27.a4	27a3	27.a	27a	$[0, 0, 1, 0, 0]$	$0$	$[3]$