On group orders of rational points of elliptic curves

Author: Weng, Annegret

Source: Quaestiones Mathematicae, Volume 25, Number 4, 1 December 2002 , pp. 513-525(13)

Publisher: NISC Pty Ltd

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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.

Keywords: ELLIPTIC CURVES OVER FINITE FIELDS; DISTRIBUTION OF GROUP ORDERS

Document Type: Research article

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