Properties

Label 2156.1.s
Level $2156$
Weight $1$
Character orbit 2156.s
Rep. character $\chi_{2156}(393,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $0$
Newform subspaces $0$
Sturm bound $336$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2156 = 2^{2} \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2156.s (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 11 \)
Character field: \(\Q(\zeta_{10})\)
Newform subspaces: \( 0 \)
Sturm bound: \(336\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2156, [\chi])\).

Total New Old
Modular forms 108 0 108
Cusp forms 12 0 12
Eisenstein series 96 0 96

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

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

Decomposition of \(S_{1}^{\mathrm{old}}(2156, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(2156, [\chi]) \simeq \) \(S_{1}^{\mathrm{new}}(539, [\chi])\)\(^{\oplus 3}\)