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A computation of modular forms of weight one and small level

Content Provider	Springer Nature Link
Author	Lauder, Alan Buzzard, Kevin
Copyright Year	2016
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.Nous faisons état de calculs de formes modulaires paraboliques (aussi dites cuspidales) holomorphes de poids 1 et de petits niveaux (au plus 1500 à ce stade-ci) et nous les classifions selon les images projectives des représentations d’Artin attachées à ces formes. On trouvera sur la page Web les informations obtenues, comme les développements en séries de Fourier et les dimensions de ces espaces de formes, sous forme de tableaux faciles à lire et créés dans le cadre de ce projet via Magma et Sage.
Starting Page	213
Ending Page	219
Page Count	7
File Format	PDF
ISSN	21954755
Journal	Annales mathématiques du Québec
Volume Number	41
Issue Number	2
e-ISSN	21954763
Language	English
Publisher	Springer International Publishing
Publisher Date	2016-11-10
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Galois representations Weight one Algebra Holomorphic modular forms of integral weight Galois representation Analysis Mathematics Number Theory Modular form
Content Type	Text
Resource Type	Article
Subject	Mathematics

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