Parametrization of Algebraic Points of Low Degrees on the Schaeffer Curve

Authors : Moussa FALL

Pages : 51-55

Doi:10.33187/jmsm.931258

View : 12 | Download : 6

Publication Date : 2021-08-31

Article Type : Research Paper

Abstract :In this paper, we give a parametrization of algebraic points of degree at most $4$ over $\mathbb{Q}$ on the schaeffer curve $\mathcal{C}$ of affine equation : $ y^{2}=x^{5}+1 $. The result extends our previous result which describes in [5] insert ignore into journalissuearticles values( Afr. Mat 29:1151-1157, 2018); the set of algebraic points of degree at most $3$ over $\mathbb{Q}$ on this curve.
Keywords : Degree of algebraic points, Plan curve, Rational points