Regulators of rank one quadratic twists

DOI10.5802/JTNB.643zbMath1201.11057arXiv0707.0772OpenAlexW2025701913MaRDI QIDQ1026976

Christophe Delaunay, Xavier-François Roblot

Publication date: 30 June 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0772

zbMATH Keywords

elliptic curvesquadratic twists

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Algebraic number theory computations (11Y40) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (3)

Orders of Tate-Shafarevich groups for the Neumann-Setzer type elliptic curves ⋮ On elliptic curves and random matrix theory ⋮ A heuristic for boundedness of ranks of elliptic curves

Cites Work

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• Heegner points and derivatives of \(L\)-series
• The Rankin's \(L\)-function and Heegner points for general discriminants
• À propos de la conjecture de Lang sur la minoration de la hauteur de Néron–Tate pour les courbes elliptiques sur Q
• On the Distribution of Analytic Values on Quadratic Twists of Elliptic Curves
• Hauteur asymptotique des points de Heegner
• Discretisation for odd quadratic twists
• Heuristics on class groups and on Tate-Shafarevich groups
• Integral moments of L-functions
• Numerical Investigations Related to the Derivatives of theL-Series of Certain Elliptic Curves
• MOMENTS OF THE ORDERS OF TATE–SHAFAREVICH GROUPS
• Derivatives of random matrix characteristic polynomials with applications to elliptic curves
• Random matrix theory and \(L\)-functions at \(s=1/2\).

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