All congruent numbers less than 2000

DOI10.1007/BF01451411zbMath0561.10007MaRDI QIDQ2266038

Gerhard Kramarz

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164059

zbMATH Keywords

elliptic curverational pointcongruent numbersarea of right triangle with rational sides

Mathematics Subject Classification ID

Elliptic curves (14H52) Holomorphic modular forms of integral weight (11F11) Linear Diophantine equations (11D04) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

On the rank of an elliptic curve in elementary 2-extensions ⋮ Ranks of Elliptic Curves in Families of Quadratic Twists ⋮ Rank Computations for the Congruent Number Elliptic Curves ⋮ Congruent Number Theta Coefficients to 1012 ⋮ Application of the method of Dem'yanenko-Manin to certain families of curves of genus 2 or 3 ⋮ All congruent numbers less than 10 000

Cites Work

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• A classical Diophantine problem and modular forms of weight \(3/2\)
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• On the conjecture of Birch and Swinnerton-Dyer
• On the Conjecture of Birch and Swinnerton-Dyer for an Elliptic Curve of Rank 3
• Unsolved problems in number theory

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