The Hecke algebra acts on \(S_k^{\mathrm{new}}(N, \chi)\), breaking it up into irreducible pieces. Each piece is spanned by a set of conjugate eigenforms with Fourier coefficients in a number field of degree equal to the dimension of the subspace. We refer to an irreducible orbit as a **newform**.

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- Last edited by David Roe on 2018-10-12 19:32:26

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- 2018-10-12 19:32:26 by David Roe (Reviewed)