Properties

Label 5733.2.bs
Level $5733$
Weight $2$
Character orbit 5733.bs
Rep. character $\chi_{5733}(803,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1104$
Sturm bound $1568$

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Defining parameters

Level: \( N \) \(=\) \( 5733 = 3^{2} \cdot 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5733.bs (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 819 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1568\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5733, [\chi])\).

Total New Old
Modular forms 1600 1136 464
Cusp forms 1536 1104 432
Eisenstein series 64 32 32

Decomposition of \(S_{2}^{\mathrm{new}}(5733, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5733, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5733, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(819, [\chi])\)\(^{\oplus 2}\)