Properties

Label 1156.1.s
Level $1156$
Weight $1$
Character orbit 1156.s
Rep. character $\chi_{1156}(5,\cdot)$
Character field $\Q(\zeta_{272})$
Dimension $0$
Newform subspaces $0$
Sturm bound $153$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1156 = 2^{2} \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1156.s (of order \(272\) and degree \(128\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 289 \)
Character field: \(\Q(\zeta_{272})\)
Newform subspaces: \( 0 \)
Sturm bound: \(153\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1156, [\chi])\).

Total New Old
Modular forms 384 0 384
Cusp forms 0 0 0
Eisenstein series 384 0 384

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