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arXiv · 1508.07206

On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field

Jasper Van Hirtum
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Abstract

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.

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Jasper Van Hirtum. 2016-01-13. On the Distribution of Frobenius of Weight 2 Eigenforms with Quadratic Coefficient Field. https://arxiv.org/abs/1508.07206

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