Properties

Label 144.7.t
Level $144$
Weight $7$
Character orbit 144.t
Rep. character $\chi_{144}(7,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $0$
Newform subspaces $0$
Sturm bound $168$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 144.t (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 72 \)
Character field: \(\Q(\zeta_{6})\)
Newform subspaces: \( 0 \)
Sturm bound: \(168\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{7}(144, [\chi])\).

Total New Old
Modular forms 296 0 296
Cusp forms 280 0 280
Eisenstein series 16 0 16

Decomposition of \(S_{7}^{\mathrm{old}}(144, [\chi])\) into lower level spaces

\( S_{7}^{\mathrm{old}}(144, [\chi]) \cong \) \(S_{7}^{\mathrm{new}}(72, [\chi])\)\(^{\oplus 2}\)