Properties

Label 2304.3.bx
Level $2304$
Weight $3$
Character orbit 2304.bx
Rep. character $\chi_{2304}(41,\cdot)$
Character field $\Q(\zeta_{96})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1152$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2304 = 2^{8} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 2304.bx (of order \(96\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1152 \)
Character field: \(\Q(\zeta_{96})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1152\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(2304, [\chi])\).

Total New Old
Modular forms 24704 0 24704
Cusp forms 24448 0 24448
Eisenstein series 256 0 256

Decomposition of \(S_{3}^{\mathrm{old}}(2304, [\chi])\) into lower level spaces

\( S_{3}^{\mathrm{old}}(2304, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(1152, [\chi])\)\(^{\oplus 2}\)