English

Computing classical modular forms

Number Theory 2022-05-31 v4

Abstract

We discuss practical and some theoretical aspects of computing a database of classical modular forms in the L-functions and Modular Forms Database (LMFDB).

Cite

@article{arxiv.2002.04717,
  title  = {Computing classical modular forms},
  author = {Alex J. Best and Jonathan Bober and Andrew R. Booker and Edgar Costa and John Cremona and Maarten Derickx and Min Lee and David Lowry-Duda and David Roe and Andrew V. Sutherland and John Voight},
  journal= {arXiv preprint arXiv:2002.04717},
  year   = {2022}
}

Comments

63 pages; minor edits, including a correction to Conjecture 8.5.1