PGL2 (Fℓ) number fields with rational companion forms

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We give a list of PGL2(Fℓ) number fields for ℓ ≥ 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.

Original languageEnglish (US)
Pages (from-to)825-845
Number of pages21
JournalInternational Journal of Number Theory
Issue number3
StatePublished - Apr 1 2018

Bibliographical note

Publisher Copyright:
© 2018 World Scientific Publishing Company.


  • Galois group
  • Number field
  • companion form
  • discriminant
  • modular form


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