Septic fields with discriminant ±2a3b

John W. Jones, David P. Roberts

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We classify septic number fields which are unramified outside of {∞, 2, 3} by a targeted Hunter search; there are exactly 10 such fields, all with Galois group S7. We also describe separate computations which strongly suggest that none of these fields come from specializing septic genus zero three-point covers.

Original languageEnglish (US)
Pages (from-to)1975-1985
Number of pages11
JournalMathematics of Computation
Issue number244
StatePublished - Oct 2003


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