Properties

Label 1944.1.bn
Level $1944$
Weight $1$
Character orbit 1944.bn
Rep. character $\chi_{1944}(5,\cdot)$
Character field $\Q(\zeta_{162})$
Dimension $0$
Newform subspaces $0$
Sturm bound $324$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1944 = 2^{3} \cdot 3^{5} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1944.bn (of order \(162\) and degree \(54\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1944 \)
Character field: \(\Q(\zeta_{162})\)
Newform subspaces: \( 0 \)
Sturm bound: \(324\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1944, [\chi])\).

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

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