Elliptic curves related with triangles (Q1817239)

The author generalizes the method of \textit{T. Ono} [ibid. 70, No. 7, 223-225 (1994; Zbl 0824.14029)] to show that the point \(P=(n^2, lmn)\) is (under two explicitly given conditions) a point of infinite order on the elliptic curve \(y^2= x(x+l^2- n^2) (x+m^2-n^2)\) over \(\mathbb{Q}\). He discusses further generalizations which can produce points of infinite order on other elliptic curves related to triangles [see also \textit{T. Ono}, Proc. Japan Acad., Ser. A 71, No. 7, 137-139 (1995; see the preceding review)]. -- So, this article is a good introduction to the scattered papers of \textit{T. Ono} about this theme.