Ranks of Elliptic Curves in Families of Quadratic Twists

DOI10.1080/10586458.2000.10504661zbMath0959.11023arXivmath/9912249OpenAlexW2015929417MaRDI QIDQ2706538

Karl Rubin, Alice Silverberg

Publication date: 19 March 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912249

zbMATH Keywords

elliptic curvesranksheightstwists

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (6)

Analytic number theory. Abstracts from the workshop held November 6--12, 2022 ⋮ An application of Mumford's gap principle. ⋮ A family of elliptic curves with rank \(\geq 5\) ⋮ A heuristic for boundedness of ranks of elliptic curves ⋮ On the ranks of elliptic curves in families of quadratic twists over number fields ⋮ Ranks of elliptic curves

Cites Work

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• The size of Selmer groups for the congruent number problem
• Modular curves and the Eisenstein ideal
• The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.
• Un analogue du calcul de Heegner. (An analogue of the Heegner calculus)
• All congruent numbers less than 2000
• Diophantine analysis and modular forms
• Rank Computations for the Congruent Number Elliptic Curves
• The Square-Free Sieve and the Rank of Elliptic Curves

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