Properties

Label 72.1.g
Level $72$
Weight $1$
Character orbit 72.g
Rep. character $\chi_{72}(55,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $12$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 72 = 2^{3} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 72.g (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(12\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(72, [\chi])\).

Total New Old
Modular forms 8 0 8
Cusp forms 0 0 0
Eisenstein series 8 0 8

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