Title

On Atkin-Swinnerton-Dyer congruence relations

Document Type

Article

Publication Date

7-1-2005

Abstract

In this paper, we exhibit a noncongruence subgroup Γ whose space of weight 3 cusp forms S3(Γ) admits a basis satisfying the Atkin-Swinnerton-Dyer congruence relations with two weight 3 newforms for certain congruence subgroups. This gives a modularity interpretation of the motive attached to S3(Γ) by Scholl and also verifies the Atkin-Swinnerton-Dyer congruence conjecture for this space. © 2004 Elsevier Inc. All rights reserved.

Publication Source (Journal or Book title)

Journal of Number Theory

First Page

117

Last Page

148

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