Counting rational points on elliptic curves with a rational 2-torsion point

DOI10.4171/RLM/945zbMath1483.11117arXiv2105.04032OpenAlexW3162978663MaRDI QIDQ2075657

Francesco Naccarato

Publication date: 15 February 2022

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04032

zbMATH Keywords

elliptic curvesrankscanonical heightsmall rational points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Cites Work

• Small rational points on elliptic curves over number fields
• The canonical height and integral points on elliptic curves
• On the difference of the Weil height and the Neron-Tate height
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Counting points of small height on elliptic curves
• The Arithmetic of Elliptic Curves
• On the number of rational points on certain elliptic curves
• Rational Points on Elliptic Curves
• A Problem on Sums of Two Squares

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