Elliptic curves over $\Q$ of conductor 64

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 (4 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
64.a1	64a2	64.a	64a	$[0, 0, 0, -44, -112]$	$0$	$[2]$
64.a2	64a3	64.a	64a	$[0, 0, 0, -44, 112]$	$0$	$[4]$
64.a3	64a1	64.a	64a	$[0, 0, 0, -4, 0]$	$0$	$[2, 2]$
64.a4	64a4	64.a	64a	$[0, 0, 0, 1, 0]$	$0$	$[2]$