On some elliptic curves defined over \(Q\) of free rank \(\geq 9\)

DOI10.1007/BF01303626zbMath0422.14025MaRDI QIDQ1133591

Kumiko Nakata

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154659

zbMATH Keywords

elliptic curvesrank of Mordell-Weil group

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

Specializations of Finitely Generated Subgroups of Abelian Varieties ⋮ Specializations of Finitely Generated Subgroups of Abelian Varieties

Cites Work

• Unnamed Item
• Über rationale Punkte auf Kurven dritter Ordnung vom Geschlechte eins
• Über den Rang von Kurven \(y^2=x(x+a)(x+b)\)
• Über rationale Punkte auf Kurven \(y^2=x(x^2-c^2)\)
• A Search for Elliptic Curves With Large Rank
• Three Elliptic Curves with Rank at Least Seven
• Über einige rationale elliptische Kurven mit freiem Rang 8.

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