Properties

Label 2304.3.bs
Level $2304$
Weight $3$
Character orbit 2304.bs
Rep. character $\chi_{2304}(53,\cdot)$
Character field $\Q(\zeta_{64})$
Dimension $8192$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2304 = 2^{8} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 2304.bs (of order \(64\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 768 \)
Character field: \(\Q(\zeta_{64})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 24704 8192 16512
Cusp forms 24448 8192 16256
Eisenstein series 256 0 256

Trace form

\( 8192q + O(q^{10}) \) \( 8192q + O(q^{100}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(2304, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

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

\( S_{3}^{\mathrm{old}}(2304, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(768, [\chi])\)\(^{\oplus 2}\)