[en] In this article we present a heuristic model that describes the asymptotic behaviour of the number of primes p such that the p-th coefficient of a given eigenform is a rational integer. We treat the case of a weight 2 eigenform with quadratic coefficient field without inner twists. Moreover we present numerical data which agrees with our model and the assumptions we made to obtain it.
Disciplines :
Mathematics
Author, co-author :
Van Hirtum, Jasper ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit ; KU Leuven > Mathematics > PhD student
Language :
English
Title :
On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field
