LMS Journal of Computation and Mathematics

Research Article

On level one cuspidal Bianchi modular forms

Alexander D. Rahma1 and Mehmet Haluk Şengüna2

a1 Department of Mathematics,National University of Ireland at Galway, Ireland email Alexander.Rahm@nuigalway.ie

a2 Mathematics Institute, University of Warwick,Coventry CV4 7AL, United Kingdom email M.H.Sengun@warwick.ac.uk

Abstract

In this paper, we present the outcome of vast computer calculations, locating several of the very rare instances of level one cuspidal Bianchi modular forms that are not lifts of elliptic modular forms.

(Received September 10 2012)

(Revised February 19 2013)

(Online publication August 2013)

2010 Mathematics Subject Classification

  • 11F55;
  • 11F75 (primary);
  • 57T15 (secondary)

Footnotes

  The first author is funded by the Irish Research Council. The second author is funded by a Marie Curie Intra-European Fellowship.