Heegner points and the arithmetic of elliptic curves over ring class extensions

DOI10.1016/j.jnt.2011.12.018zbMath1276.11088OpenAlexW2049508988MaRDI QIDQ423614

J. Herrera, H. S. Yoon

Publication date: 4 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.12.018

zbMATH Keywords

elliptic curveBirch and Swinnerton-Dyer conjectureGross-Zagier formulaShafarevich-Tate groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

Remarks on Kato's Euler systems for elliptic curves with additive reduction

Uses Software

• SageMath

Cites Work

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• Global divisibility of Heegner points and Tamagawa numbers
• Néron Models
• Computing Special Values of MotivicL-Functions
• The Gross-Zagier Formula on Shimura Curves
• Explicit isogeny descent on elliptic curves
• Proving the Birch and Swinnerton-Dyer conjecture for specific elliptic curves of analytic rank zero and one
• Number Theory
• Heights of Heegner points on Shimura curves.

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