Infinitely many elliptic curves of rank exactly two

DOI10.3792/pjaa.92.64zbMath1350.11064OpenAlexW4254069592MaRDI QIDQ318824

Dongho Byeon, Keunyoung Jeong

Publication date: 5 October 2016

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1461868542

zbMATH Keywords

elliptic curveMordell-Weil grouprank

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (2)

Rank bias for elliptic curves \(\bmod\,p\) ⋮ Infinitely many elliptic curves of rank exactly two. II

Cites Work

• Groupes de Selmer et corps cubiques. (Selmer group and cubic fields)
• Sums of two rational cubes with many prime factors
• Bounded gaps between primes
• The parity of the rank of the Mordell-Weil group
• Ranks of elliptic curves
• Rank-one quadratic twists of an infinite family of elliptic curves
• The Analytic Rank of a Family of Elliptic Curves
• Additive representation in thin sequences, II: The binary Goldbach problem
• The Square-Free Sieve and the Rank of Elliptic Curves

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