Triangles and elliptic curves. V
[For part IV of this paper see ibid. 71, No. 5, 104-106 (1995; Zbl 0841.14028).] The author defines a bunch \(E(\lambda,k)\) of elliptic space curves over a field \(k\) of characteristic not two \((\lambda\in k\), \(\lambda \neq 0,1)\). He gives a surjective mapping \(E(\lambda,k) \to\mathbb{P}^1(k)\) which is an analogue of the branched covering of Riemann surfaces. He examines this map for special fields \(k\) including some local and global fields of interest in number theory. Reviewer's remark: The reference to \textit{L. Euler}'s ``Vollständige Anleitung zur Algebra'' [see e.g. Stuttgart 1959; Zbl 0083.24406)] would be more helpful if the author had given the section and the paragraph in which the cited reference is hidden.
scientific article; zbMATH DE number 897670