Properties

Label 2151.1.p
Level $2151$
Weight $1$
Character orbit 2151.p
Rep. character $\chi_{2151}(71,\cdot)$
Character field $\Q(\zeta_{34})$
Dimension $0$
Newform subspaces $0$
Sturm bound $240$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2151 = 3^{2} \cdot 239 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2151.p (of order \(34\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 717 \)
Character field: \(\Q(\zeta_{34})\)
Newform subspaces: \( 0 \)
Sturm bound: \(240\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2151, [\chi])\).

Total New Old
Modular forms 64 0 64
Cusp forms 0 0 0
Eisenstein series 64 0 64

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