Properties

Label 4033.2.bf
Level $4033$
Weight $2$
Character orbit 4033.bf
Rep. character $\chi_{4033}(608,\cdot)$
Character field $\Q(\zeta_{9})$
Dimension $2076$
Sturm bound $696$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4033 = 37 \cdot 109 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4033.bf (of order \(9\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4033 \)
Character field: \(\Q(\zeta_{9})\)
Sturm bound: \(696\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4033, [\chi])\).

Total New Old
Modular forms 2100 2100 0
Cusp forms 2076 2076 0
Eisenstein series 24 24 0

Decomposition of \(S_{2}^{\mathrm{new}}(4033, [\chi])\) into newform subspaces

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