Algebraic points on the curve of affine equation \(y^2 = x(x-3)(x-4)(x-6)(x-7)\)

DOI10.1007/s13370-023-01128-7OpenAlexW4389087515MaRDI QIDQ6179375

Oumar Sall, Boubacar Sidy Balde

Publication date: 16 January 2024

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01128-7

zbMATH Keywords

linear systemsMordell-Weil groupGalois conjugatesAbel-Jacobi theorem

Mathematics Subject Classification ID

Plane and space curves (14H50) Jacobians, Prym varieties (14H40) Rational numbers as sums of fractions (11D68)

Cites Work

• Parameterization of algebraic points of a given degree on the curve of the affine equation \(y^3=x(x - 1)(x - 2)(x - 3)\)
• Computing a Selmer group of a Jacobian using functions on the curve
• Computing the Mordell-Weil Rank of Jacobians of Curves of Genus Two
• Unnamed Item

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