On the number of solutions of Thue equations

Let $F(x,y)$ be an irreducible binary form of degree $r≥3,$ with rational integral coefficients. Let $Nr$ be the number of solutions of the equation $|F(x,y)| = 1,$ then using the methods developed by Bombieri, Schmidt and Stewart, we prove that $Nr<414r$ for $r≥24$ and that $Nr<375r$ for $r≥100.$ For $4≤r≤23,$ we obtain an upper bound of $Nr$ for F with large discriminant.