Source of Hilbert modular form data (reviewed)

The database of Hilbert modular forms was computed by Steve Donnelly and John Voight using algorithms implemented in [Magma] by Lassina Dembele, Steve Donnelly, Markus Kirschmer, and John Voight; the computational effort is described in Donnelly-Voight [arXiv:1605.02637]. A detailed overview and mathematical description of these algorithms can be found in a survey by Dembélé-Voight [arXiv:1010.5727].

Galois conjugate levels were added by John Cremona and Aurel Page.