On the rank of an elliptic curve in elementary 2-extensions

DOI10.3792/pjaa.69.422zbMath0824.14027OpenAlexW2010754352MaRDI QIDQ1327781

Masanari Kida

Publication date: 8 August 1994

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

Full work available at URL: https://doi.org/10.3792/pjaa.69.422

zbMATH Keywords

rank of an elliptic curvetower of elementary abelian 2-extensions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Other abelian and metabelian extensions (11R20)

Related Items (3)

Variation of the reduction type of elliptic curves under small base change with wild ramification ⋮ Non-congruent numbers with arbitrarily many prime factors congruent to 3 modulo 8 ⋮ On the rank of elliptic curves in elementary cubic extensions

Cites Work

• Mock Heegner points and congruent numbers
• On the relative Modell-Weil rank of elliptic quartic curves
• All congruent numbers less than 2000
• ON THE RANK OF ELLIPTIC CURVES OVER Γ-EXTENSIONS
• ELLIPTIC CURVES OF INFINITE RANK OVER Γ-EXTENSIONS
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