Properties

Label 927.1.v
Level $927$
Weight $1$
Character orbit 927.v
Rep. character $\chi_{927}(10,\cdot)$
Character field $\Q(\zeta_{34})$
Dimension $16$
Newform subspaces $1$
Sturm bound $104$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 927 = 3^{2} \cdot 103 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 927.v (of order \(34\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 103 \)
Character field: \(\Q(\zeta_{34})\)
Newform subspaces: \( 1 \)
Sturm bound: \(104\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(927, [\chi])\).

Total New Old
Modular forms 80 32 48
Cusp forms 16 16 0
Eisenstein series 64 16 48

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 16 0 0 0

Trace form

\( 16q + q^{4} - 2q^{7} + O(q^{10}) \) \( 16q + q^{4} - 2q^{7} + 2q^{13} - q^{16} - 2q^{19} - q^{25} + 2q^{28} - 3q^{49} - 2q^{52} + 2q^{61} + q^{64} + 2q^{76} + 2q^{79} - 13q^{91} - 15q^{97} + O(q^{100}) \)

Decomposition of \(S_{1}^{\mathrm{new}}(927, [\chi])\) into newform subspaces

Label Dim. \(A\) Field Image CM RM Traces $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
927.1.v.a \(16\) \(0.463\) \(\Q(\zeta_{34})\) \(D_{34}\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{34}^{11}q^{4}+(\zeta_{34}^{2}+\zeta_{34}^{16})q^{7}+\cdots\)