Properties

Label 4009.2.cw
Level $4009$
Weight $2$
Character orbit 4009.cw
Rep. character $\chi_{4009}(55,\cdot)$
Character field $\Q(\zeta_{45})$
Dimension $8448$
Sturm bound $706$

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Defining parameters

Level: \( N \) \(=\) \( 4009 = 19 \cdot 211 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4009.cw (of order \(45\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4009 \)
Character field: \(\Q(\zeta_{45})\)
Sturm bound: \(706\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4009, [\chi])\).

Total New Old
Modular forms 8544 8544 0
Cusp forms 8448 8448 0
Eisenstein series 96 96 0

Decomposition of \(S_{2}^{\mathrm{new}}(4009, [\chi])\) into newform subspaces

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