Research PapersNo Access

${PGL}_{2} (𝔽_{ℓ})$ number fields with rational companion forms

David P. Roberts

Division of Science and Mathematics, University of Minnesota Morris, Morris, MN 56267, USA

https://doi.org/10.1142/S1793042118500501Cited by:0 (Source: Crossref)

Abstract

We give a list of ${PGL}_{2} (𝔽_{ℓ})$ number fields for $ℓ \geq 11$ which have rational companion forms. Our list has 53 fields and seems likely to be complete. Some of the fields on our list are very lightly ramified for their Galois group.

Keywords:

AMSC: 11R21, 11F11, 11F80

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