Rational points on a modular curve over a two-cyclotomic field

DOI10.1007/BF01087088zbMath0402.14008OpenAlexW1999696469MaRDI QIDQ1255536

M. I. Bashmakov, A. S. Kurochkin

Publication date: 1979

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01087088

zbMATH Keywords

cyclotomic fieldelliptic curveShafarevich-Tate groupFiniteness of the group of rational points

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Cyclotomic extensions (11R18)

Cites Work

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• BEHAVIOR OF THE CURVEx³+y³= 1 IN A CYCLOTOMIC Γ-EXTENSION
• CYCLOTOMIC FIELDS AND MODULAR CURVES

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