Properties

Label 4009.2.di
Level $4009$
Weight $2$
Character orbit 4009.di
Rep. character $\chi_{4009}(128,\cdot)$
Character field $\Q(\zeta_{90})$
Dimension $8424$
Sturm bound $706$

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Defining parameters

Level: \( N \) \(=\) \( 4009 = 19 \cdot 211 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4009.di (of order \(90\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4009 \)
Character field: \(\Q(\zeta_{90})\)
Sturm bound: \(706\)

Dimensions

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

Total New Old
Modular forms 8520 8520 0
Cusp forms 8424 8424 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.