computing-gross-pizer-prasad-eigenspaces

We provide algorithms in Magma for computing the eigenspaces of quaternionic modular forms with level structure given by Special (Bass) order. We work with definite quaternion algebras.

https://github.com/luca-dallava/computing-gross-pizer-prasad-eigenspaces

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We provide algorithms in Magma for computing the eigenspaces of quaternionic modular forms with level structure given by Special (Bass) order. We work with definite quaternion algebras.

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  • Host: GitHub
  • Owner: Luca-DallAva
  • License: mit
  • Default Branch: main
  • Size: 62.5 KB
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Created over 3 years ago · Last pushed over 2 years ago
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README.md

Computing-Gross-Pizer-Prasad-Eigenspaces

We provide algorithms in Magma for computing the eigenspaces of quaternionic modular forms with level structure given by Special (Bass) order. We work with definite quaternion algebras.

A nice and fast way to produce newforms is via the command Newforms(label) (https://magma.maths.usyd.edu.au/magma/handbook/text/1654#18846). One can call all the newforms with trivial character, level 'N' and weight 'w' as Newforms('Nkw'), e.g. Newforms('75k2') produces a list of normalized new modular forms of level 75 and weight 2.

GrossPizerPrasadEigenspaces is the main procedure.

Owner

  • Name: Luca Dall'Ava
  • Login: Luca-DallAva
  • Kind: user

Citation (CITATION.cff)

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
- family-names: "Dall'Ava"
  given-names: "Luca"
  orcid: "https://orcid.org/0000-0003-3639-8500"
title: "Computing-Gross-Pizer-Prasad-Eigenspaces"
version: 1.0.0
doi: 10.5281/zenodo.1234
date-released: 2024-02-01
url: "https://github.com/Luca-DallAva/Computing-Gross-Pizer-Prasad-Eigenspaces"

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