Abstract
In [10], Guerzhoy found the dual space for the space of cusp forms of even integral weight and studied that space with respect to the Hecke operators. In this paper, we extend that result for higher level cases. Especially, we find a basis for the dual space consisting of eigenforms for the Hecke operators, show how to calculate those eigenforms explicitly, and examine algebraicity of the Fourier coefficients of eigenforms.
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