A computation of modular forms of weight one and small level

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Title: A computation of modular forms of weight one and small level
Author(s): Buzzard, K
Lauder, A
Item Type: Journal Article
Abstract: We report on a computation of holomorphic cuspidal modular forms of weight one and small level (currently level at most 1500) and classification of them according to the projective image of their attached Artin representations. The data we have gathered, such as Fourier expansions and projective images of Hecke newforms and dimensions of space of forms, is available in both Magma and Sage readable formats on a webpage created in support of this project.
Publication Date: 10-Nov-2016
Date of Acceptance: 2-Oct-2016
URI: http://hdl.handle.net/10044/1/44030
DOI: https://dx.doi.org/10.1007/s40316-016-0072-8
ISSN: 2195-4763
Publisher: Springer Verlag
Start Page: 213
End Page: 219
Journal / Book Title: Annales mathématiques du Québec
Volume: 41
Issue: 2
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/L025485/1
Copyright Statement: © 2016 The Authors. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Keywords: Science & Technology
Physical Sciences
Mathematics
Modular form
Weight one
Galois representation
math.NT
math.NT
11Y99
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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