On the equation \(x^ 4+mx^ 2y^ 2+y^ 4=z^ 2\)

DOI10.1006/JNTH.1995.1021zbMath0822.11023OpenAlexW1966625227MaRDI QIDQ1345282

John W. Jones, Andrew Bremner

Publication date: 25 October 1995

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1995.1021

zbMATH Keywords

elliptic curveMordell-Weil groupdiophantine equationMordell-Weil ranks\(L\)-seriesShafarevich-Tate groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

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