ON TWISTS OF THE FERMAT CUBIC x3 + y3 = 2

DOI10.1142/S1793042113500802zbMath1286.11090OpenAlexW2091440692MaRDI QIDQ5746416

Tomasz Jędrzejak

Publication date: 18 February 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042113500802

zbMATH Keywords

Selmer groupsroot numbersFermat cubicrank of an elliptic curvetwists of curvesFermat elliptic curve

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Elliptic curves over local fields (11G07)

Related Items (1)

On ranks of quadratic twists of a Mordell curve

Cites Work

• Über die kleinste quadratfreie Zahl einer arithmetischen Reihe
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• On the Quadratic Twists of a Family of Elliptic Curves
• The effect of twisting on the 2-Selmer group
• The Analytic Rank of a Family of Jacobians of Fermat Curves
• L-series with nonzero central critical value
• ON THE L-FUNCTION OF THE CURVES $\lowercase{y}^2 = \lowercase{x}^5 + A$
• Ranks in Families of Jacobian Varieties of Twisted Fermat Curves
• Height estimates on cubic twists of the Fermat elliptic curve
• The non-vanishing of central values of automorphic \(L\)-functions and Landau-Siegel zeros

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