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On group orders of retional points of elliptic curves
Abstract
We consider elliptic curves without complex
multiplication defined over the rationals or with complex multiplication
defined over the Hilbert class field of the endomorphism ring. We examine the
distribution of almost prime group orders of these curves when reduced modulo a
prime ideal.
Mathematics Subject
Classification (2000): 11G20, 14G50, 11R45
Quaestiones Mathematicae 25 (2002), 513-525
multiplication defined over the rationals or with complex multiplication
defined over the Hilbert class field of the endomorphism ring. We examine the
distribution of almost prime group orders of these curves when reduced modulo a
prime ideal.
Mathematics Subject
Classification (2000): 11G20, 14G50, 11R45
Quaestiones Mathematicae 25 (2002), 513-525
