A quantitative primitive divisor result for points on elliptic curves (Q988067)

Let \(E/K\) be a elliptic curve defined over a number field, and let \(P\in E(K)\) be a point of infinite order. In the paper under review the author investigated the following question: how many integers \(n\geq 1\) fail to occur as the order of \(P\) modulo a prime of \(K\). The main result of the paper says that for \(K=\mathbb{Q}\), \(E\) a quadratic twist of \(y^2=x^3-x\), and \(P\in E(\mathbb{Q})\) of infinite order there is at most one such \(n\geq 3\).