Properties

Label 1344.4.cr
Level $1344$
Weight $4$
Character orbit 1344.cr
Rep. character $\chi_{1344}(25,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1024$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1344 = 2^{6} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 1344.cr (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 224 \)
Character field: \(\Q(\zeta_{24})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1024\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1344, [\chi])\).

Total New Old
Modular forms 6208 0 6208
Cusp forms 6080 0 6080
Eisenstein series 128 0 128

Decomposition of \(S_{4}^{\mathrm{old}}(1344, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(1344, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(224, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{4}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 2}\)