Algebraic Points of Degree at Most 5 on the Affine Curve y\(^{2}\) = x\(^{5}\) - 243
EL Hadji Sow, Pape Modou Sarr, Oumar Sall
Asian Research Journal of Mathematics · pp. 51–58 · Published 13 Dec 2021
10.9734/arjom/2021/v17i1030336Abstract
In this work, we determine the set of algebraic points of degree at most 5 on the ane curve y2 = x5 - 243. This result extends a result of J.TH Mulholland who described in [4] the set of \(\mathbb{Q}\)- rational points i.e the set of points of degree one over \(\mathbb{Q}\) on this curve.
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