Indivisible points on families of elliptic curves

DOI10.1006/jnth.1997.2092zbMath0885.11038OpenAlexW1963772197MaRDI QIDQ1355095

Keith Ramsay, Rajiv Gupta

Publication date: 8 April 1998

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2092

zbMATH Keywords

rational pointheight functionsfamilies of elliptic curvesindivisible points

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (3)

Geometric non-vanishing ⋮ Lower bounds of the canonical height on quadratic twists of elliptic curves ⋮ Lower bounds for the rank of families of abelian varieties under base change

Cites Work

• Division fields of \(Y^ 2=X^ 3-aX\)
• Lower bound for the canonical height on elliptic curves
• Diophantine approximations and diophantine equations
• On the difference of the Weil height and the Neron-Tate height
• On the Equation Y 2 = X(X 2 + p)
• Divisibility of the Specialization Map for Families of Elliptic Curves
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