PGL2 (Fℓ) number fields with rational companion forms

David P. Roberts

    Research output: Contribution to journalArticlepeer-review


    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


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

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