Rational points on X_0^+ (p^r)

Yu. Bilu, P. Parent, M. Rebolledo

We show how the recent isogeny bounds due to É. Gaudron and G. Rémond allow to obtain the triviality of X_0^+ (p^r)(Q), for r>1 and p a prime exceeding 2.10^{11}. This includes the…