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.
|Original language||English (US)|
|Number of pages||32|
|Journal||Journal of Number Theory|
|State||Published - Jul 2005|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory