Elliptic curves associated with simplest quartic fields

DOI10.5802/jtnb.575zbMath1123.11018OpenAlexW2317700145MaRDI QIDQ2642756

Sylvain Duquesne

Publication date: 4 September 2007

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

Full work available at URL: http://www.numdam.org/item?id=JTNB_2007__19_1_81_0

zbMATH Keywords

generatorMordell-Weil grouprankcanonical heightnaive heightintgral pointsimplest quartic field, elliptic curve

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Heights (11G50)

Related Items (6)

Generators for the elliptic curve \(y^2=x^3-nx\) of rank at least three ⋮ On the Mordell-Weil group of the elliptic curve ⋮ Generators for the elliptic curve \(y^2=x^3-nx\) ⋮ On the Simplest Quartic Fields and Related Thue Equations ⋮ Lower bounds of the canonical height on quadratic twists of elliptic curves ⋮ Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\)

Cites Work

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• Signes locaux des courbes elliptiques en 2 et 3
• Power Integral Bases in the Family of Simplest Quartic Fields
• On the class number and unit index of simplest quartic fields
• Algorithmic Number Theory

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