Properties

Label 2304.2.bu
Level $2304$
Weight $2$
Character orbit 2304.bu
Rep. character $\chi_{2304}(35,\cdot)$
Character field $\Q(\zeta_{64})$
Dimension $4096$
Sturm bound $768$

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Defining parameters

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

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2304, [\chi])\).

Total New Old
Modular forms 12416 4096 8320
Cusp forms 12160 4096 8064
Eisenstein series 256 0 256

Trace form

\( 4096q + O(q^{10}) \) \( 4096q + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2304, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2304, [\chi])\) into lower level spaces

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