- Journal of Mathematical Sciences and Modelling
- Vol: 4 Issue: 2
- Parametrization of Algebraic Points of Low Degrees on the Schaeffer Curve
Parametrization of Algebraic Points of Low Degrees on the Schaeffer Curve
Authors : Moussa Fall
Pages : 51-55
Doi:10.33187/jmsm.931258
View : 19 | Download : 9
Publication Date : 2021-08-31
Article Type : Research
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] ( 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