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arXiv · 1611.06628

$PGL_2(\mathbb{F}_\ell)$ number fields with rational companion forms

David P. Roberts
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Abstract

We give a list of $PGL_2(\mathbb{F}_\ell)$ number fields for $\ell \geq 11$ which have rational companion forms. Our list has fifty-three fields and seems likely to be complete. Some of the fields on our list are very lightly ramified for their Galois group.

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David P. Roberts. 2016-11-21. $PGL_2(\mathbb{F}_\ell)$ number fields with rational companion forms. https://arxiv.org/abs/1611.06628

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