Properties

Label 48.4.f
Level $48$
Weight $4$
Character orbit 48.f
Rep. character $\chi_{48}(23,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $32$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 48 = 2^{4} \cdot 3 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 48.f (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 24 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(32\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(48, [\chi])\).

Total New Old
Modular forms 28 0 28
Cusp forms 20 0 20
Eisenstein series 8 0 8

Decomposition of \(S_{4}^{\mathrm{old}}(48, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(48, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(24, [\chi])\)\(^{\oplus 2}\)