The local-global principle for divisibility in CM elliptic curves

DOI10.1016/j.jnt.2023.03.005arXiv2201.11839OpenAlexW4366526284MaRDI QIDQ6101541

Sheng Lu, Brendan Creutz

Publication date: 1 June 2023

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

Full work available at URL: https://arxiv.org/abs/2201.11839

zbMATH Keywords

Galois cohomologyelliptic curvesCM curvesrational points on modular curveslocal-global principle for divisibility

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Zeta functions and (L)-functions of number fields (11R42) Galois cohomology (11R34)

Related Items (1)

Local–global divisibility on algebraic tori

Cites Work

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• A linear lower bound on the gonality of modular curves
• Arithmetic on Curves of Genus 1 : III. The Tate-Šafarevič and Selmer Groups
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• Vanishing of Some Galois Cohomology Groups for Elliptic Curves
• Local-global principles for Weil–Châtelet divisibility in positive characteristic
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