On the rank of elliptic curves in elementary cubic extensions

DOI10.1155/2015/501629zbMath1423.11108OpenAlexW1963416926WikidataQ59103327 ScholiaQ59103327MaRDI QIDQ2337583

Rintaro Kozuma

Publication date: 20 November 2019

Published in: Journal of Numbers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/501629

zbMATH Keywords

elliptic curvesMordell-Weil rankconstruction of elementary cubic extension

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic extensions (11R16)

Cites Work

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• Systematic growth of Mordell-Weil groups of abelian varieties in towers of number fields
• On the rank of an elliptic curve in elementary 2-extensions
• Cyclic cubic field with explicit Artin symbols
• Rational points of Abelian varieties with values in towers of number fields
• ELLIPTIC CURVES RELATED TO CYCLIC CUBIC EXTENSIONS
• ELLIPTIC CURVES OF INFINITE RANK OVER Γ-EXTENSIONS
• Ranks of elliptic curves in cubic extensions

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