Properties

Label 48.2.d
Level $48$
Weight $2$
Character orbit 48.d
Rep. character $\chi_{48}(25,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $16$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 48 = 2^{4} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 48.d (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(16\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(48, [\chi])\).

Total New Old
Modular forms 12 0 12
Cusp forms 4 0 4
Eisenstein series 8 0 8

Decomposition of \(S_{2}^{\mathrm{old}}(48, [\chi])\) into lower level spaces

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