Properties

Label 729.1.h
Level $729$
Weight $1$
Character orbit 729.h
Rep. character $\chi_{729}(26,\cdot)$
Character field $\Q(\zeta_{54})$
Dimension $0$
Newform subspaces $0$
Sturm bound $81$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 729 = 3^{6} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 729.h (of order \(54\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 81 \)
Character field: \(\Q(\zeta_{54})\)
Newform subspaces: \( 0 \)
Sturm bound: \(81\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(729, [\chi])\).

Total New Old
Modular forms 162 72 90
Cusp forms 0 0 0
Eisenstein series 162 72 90

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