On Level One Cuspidal Bianchi Modular Forms

Alexander D. Rahm (1) , Mehmet Haluk Sengun (2)

1 NUIG - Department of Mathematics
2 WMI - Warwick Mathematics Institute

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.

Domaines: Théorie des nombres [math.NT]

Alexander D. Rahm, Mehmet Haluk Sengun. On Level One Cuspidal Bianchi Modular Forms. LMS Journal of Computation and Mathematics, 2013, 16, pp. 187-199. ⟨10.1112/S1461157013000053⟩. ⟨hal-00589184v3⟩