Published March 15, 2023 | Version v1
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Algebraic Points of any Given Degree on the Affine Curves y 2 = x(x + 2p)(x + 4p)(x 2 − 8p 2 )

  • 1. l Assane Seck University, Departement of mathematics, Ziguinchor, Sene

Description

We give the set of algebraic points of any given degree of a family curves : Cp : y 2 = x(x + 2p)(x + 4p)(x 2 − 8p 2 ) with p ≡ 7 [16] These curves are described by E.V. Flynn and J. Redmond in [4], who showed that the MordellWeill group is finite and explained the generators of the torsion group for this family curves

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