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Some remarks on Heegner point computations

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arxiv math/0506325 v2 pith:FRBWJBGX submitted 2005-06-16 math.NT

Mark Watkins This is my paper · ORCID
classification math.NT
keywords heegnerpointrationalsomealgorithmscomputationscoursecremona
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We explain how to find a rational point on a rational elliptic curve of rank 1 using Heegner points. We give some examples, and list new algorithms that are due to Cremona and Delaunay. These are notes from a short course given at the Institut Henri Poincare in December 2004.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An exact way to verify whether n is a congruent number using Heegner points

    math.NT 2024-11 reject novelty 2.0 of 10

    The paper proposes a Heegner point method for certifying congruent numbers, but it is neither new nor rigorous, and its examples are already known.

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