Properties

Label 152.4.w
Level $152$
Weight $4$
Character orbit 152.w
Rep. character $\chi_{152}(15,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $0$
Newform subspaces $0$
Sturm bound $80$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 152 = 2^{3} \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 152.w (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 76 \)
Character field: \(\Q(\zeta_{18})\)
Newform subspaces: \( 0 \)
Sturm bound: \(80\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(152, [\chi])\).

Total New Old
Modular forms 384 0 384
Cusp forms 336 0 336
Eisenstein series 48 0 48

Decomposition of \(S_{4}^{\mathrm{old}}(152, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(152, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 2}\)