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A Database of Hilbert Modular Forms

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Arithmetic Geometry, Number Theory, and Computation

Part of the book series: Simons Symposia ((SISY))

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Abstract

We describe the computation of tables of Hilbert modular forms of parallel weight 2 over totally real fields.

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References

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Acknowledgements

The authors would like to thank Lassina Dembélé and Matthew Greenberg for useful discussions. Particular thanks also go to the organizers (John Cremona, Nicolas Mascot, Aurel Page, and Haluk Şengün) of the LMFDB Workshop at the University of Warwick, June 12–16, 2017, and to John Cremona, Aurel Page, and Dan Yasaki and for their helpful efforts at this workshop and beyond. Voight was supported by an NSF Grant (DMS-0901971) during the time that these computations were first undertaken and by an NSF CAREER Award (DMS-1151047) while work was completed.

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics F07, University of Sydney, Sydney, NSW, Australia

    Steve Donnelly

  2. Department of Mathematics, Dartmouth College, Hanover, NH, USA

    John Voight

Authors
  1. Steve Donnelly
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  2. John Voight
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Corresponding author

Correspondence to John Voight .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, Boston University, Boston, MA, USA

    Jennifer S. Balakrishnan

  2. Department of Mathematics, Harvard University, Cambridge, MA, USA

    Noam Elkies

  3. Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI, USA

    Brendan Hassett

  4. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA

    Bjorn Poonen

  5. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA

    Andrew V. Sutherland

  6. Department of Mathematics, Dartmouth College, Hanover, NH, USA

    John Voight

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Donnelly, S., Voight, J. (2021). A Database of Hilbert Modular Forms. In: Balakrishnan, J.S., Elkies, N., Hassett, B., Poonen, B., Sutherland, A.V., Voight, J. (eds) Arithmetic Geometry, Number Theory, and Computation. Simons Symposia. Springer, Cham. https://doi.org/10.1007/978-3-030-80914-0_12

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