Twists of elliptic curves

DOI10.3842/SIGMA.2017.083zbMath1433.11076arXiv1707.02893MaRDI QIDQ1680635

Jaap Top, Max Kronberg, Muhammad Afzal Soomro

Publication date: 16 November 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02893

zbMATH Keywords

Galois cohomologyelliptic curveautomorphismstwist

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Varieties over finite and local fields (11G25) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (4)

Serre’s genus fifty example ⋮ Computing twists of hyperelliptic curves ⋮ Counting the number of the twists of certain polarized abelian varieties ⋮ Counting points on the Fricke–Macbeath curve over finite fields

Cites Work

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• Counting points on the Fricke–Macbeath curve over finite fields
• On twists of smooth plane curves
• PRINCIPALIZATION OF IDEALS IN ABELIAN EXTENSIONS OF NUMBER FIELDS
• Capitulation in abelian extensions of number fields
• ℚ-rational cycles for degree-2 rational maps having an automorphism
• Diophantine Equations with Special Reference To Elliptic Curves

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