Efficient Solution of Rational Conics
Cremona, John E and Rusin, David (2001) Efficient Solution of Rational Conics. Mathematics of Computation . (In Press)
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.
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