Properties

Label 72.22.o
Level $72$
Weight $22$
Character orbit 72.o
Rep. character $\chi_{72}(23,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $0$
Newform subspaces $0$
Sturm bound $264$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 72 = 2^{3} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 22 \)
Character orbit: \([\chi]\) \(=\) 72.o (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 36 \)
Character field: \(\Q(\zeta_{6})\)
Newform subspaces: \( 0 \)
Sturm bound: \(264\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{22}(72, [\chi])\).

Total New Old
Modular forms 512 0 512
Cusp forms 496 0 496
Eisenstein series 16 0 16

Decomposition of \(S_{22}^{\mathrm{old}}(72, [\chi])\) into lower level spaces

\( S_{22}^{\mathrm{old}}(72, [\chi]) \cong \) \(S_{22}^{\mathrm{new}}(36, [\chi])\)\(^{\oplus 2}\)