The Arithmetic of Elliptic Curves
《The Arithmetic of Elliptic Curves》 · 第 298 页 · Chapter IX，Section 7「Quantitative Results」，Conjecture 7.4(b)
There are absolute constants $C$ and $\kappa$ such that for every elliptic curve $E/\mathbb Q$ given by a Weierstrass equation $y^2=x^3+Ax+B$ with $A,B\in\mathbb Z$ and for every integral point $P\in E(\mathbb Q)$, i.e., satisfying $x(P)\in\mathbb Z$, we have $|x(P)|\leq C\max\{|A|,|B|\}^{\kappa}$.