Parametrization of algebraic points of low degree on the hyperelliptic curves \(y^2=x(x^2-n^2)(x^2-4n^2)\)

DOI10.1007/978-3-031-52681-7_16zbMATH Open1546.14059MaRDI QIDQ6610757

Author name not available (Why is that?), Moussa Fall, Oumar Sall

Publication date: 26 September 2024

zbMATH Keywords

hyperelliptic curvesMordell-Weil groupstwo-descentdegree of an algebraic point

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Plane and space curves (14H50) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Higher degree equations; Fermat's equation (11D41) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Finiteness theorems for abelian varieties over number fields.
• Two-descent on some genus two curves
• Implementing 2-descent for Jacobians of hyperelliptic curves
• Rational points on Jacobians of hyperelliptic curves.

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