On 3-adic heights on elliptic curves

DOI10.1016/j.jnt.2015.07.003zbMath1400.11115OpenAlexW1575041203MaRDI QIDQ898806

Jennifer S. Balakrishnan

Publication date: 21 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.07.003

zbMATH Keywords

elliptic curvesKedlaya's algorithmp-adic heightsp-adic Birch and Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Heights (11G50)

Related Items (2)

Quadratic Chabauty for (bi)elliptic curves and Kim's conjecture ⋮ Preface

Uses Software

• SageMath

Cites Work

• Unnamed Item
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• \(p\)-adic interpolation of real analytic Eisenstein series
• The \(p\)-adic sigma function
• Computation of \(p\)-adic heights and log convergence
• Efficient Computation of p-Adic Heights
• Proving the Birch and Swinnerton-Dyer conjecture for specific elliptic curves of analytic rank zero and one
• $p$-adic heights of Heegner points and $\Lambda $-adic regulators

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