Rational solutions of Diophantine equations isomorphic to elliptic curves with applications to complex multiplication

DOI10.1016/0022-314X(86)90005-3zbMath0584.14019MaRDI QIDQ1070300

Clara Wajngurt

Publication date: 1986

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

zbMATH Keywords

elliptic curvesrational pointscomplex multiplicationgroup of endomorphismsrational solutions of cubic Diophantine equations

Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Complex multiplication and abelian varieties (14K22) Cubic and quartic Diophantine equations (11D25) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

On the Mordell-Weil group of certain abelian varieties defined over the rational function field

Cites Work

• Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957--58
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