Fall, Moussa2025-01-062025-01-0620212636-8692https://search.trdizin.gov.tr/tr/yayin/detay/450919https://hdl.handle.net/20.500.14669/1210In 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.eninfo:eu-repo/semantics/openAccessDegree of algebraic pointsPlan curveRational pointsArticle552514509194