Efficient Solution of Rational Conics

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Efficient Solution of Rational Conics

We present efficient algorithms for solving Legendre equations over Q (equivalently, for finding rational points on rational conics) and parametrizing all solutions. Unlike existing algorithms, no integer factorization is required, provided that the prime factors of the discriminant are known.

Bibliographic Details
Main Authors:	Cremona, John E, Rusin, David
Format:	Article
Published:	American Mathematical Society 2001
Subjects:	genus one curves conics rational points
Online Access:	https://eprints.nottingham.ac.uk/60/

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