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On the relative Modell-Weil rank of elliptic quartic curves

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Publication:1150410
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DOI10.2969/jmsj/03240665zbMath0456.14013OpenAlexW2003418497MaRDI QIDQ1150410

Takashi Ono

Publication date: 1980

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03240665


zbMATH Keywords

group of rational pointsMordell-Weil groupquadratic extensionelliptic quartic curverelative Mordell-Weil rank


Mathematics Subject Classification ID

Quadratic extensions (11R11) Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Arithmetic ground fields for abelian varieties (14K15) Global ground fields in algebraic geometry (14G25)


Related Items (1)

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







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