Properties

Label 1728.1.cg
Level $1728$
Weight $1$
Character orbit 1728.cg
Rep. character $\chi_{1728}(43,\cdot)$
Character field $\Q(\zeta_{144})$
Dimension $0$
Newform subspaces $0$
Sturm bound $288$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1728 = 2^{6} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1728.cg (of order \(144\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1728 \)
Character field: \(\Q(\zeta_{144})\)
Newform subspaces: \( 0 \)
Sturm bound: \(288\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1728, [\chi])\).

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