Boundedness of Mordell-Weil ranks of certain elliptic curves and Lang's conjecture.

DOI10.1016/S0022-314X(02)00126-9zbMath1042.11037WikidataQ123096742 ScholiaQ123096742MaRDI QIDQ1394924

Hizuru Yamagishi

Publication date: 25 June 2003

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

zbMATH Keywords

Lang's conjectureMordell-Weil rankrational pointElliptic curvesvariety of general type

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05)

Cites Work

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• Number theory III: Diophantine geometry
• Rational points on certain abelian varieties over function fields
• On certain twisted families of elliptic curves of rank 8
• A unified method of construction of elliptic curves with high Mordell-Weil rank.
• On elliptic curves of rank four with three-division rational point.
• On the existence of elliptic curves of Mordell-Weil rank 6 with four parameters

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