Properties

Label 4033.2.gr
Level $4033$
Weight $2$
Character orbit 4033.gr
Rep. character $\chi_{4033}(55,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $4164$
Sturm bound $696$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4033 = 37 \cdot 109 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4033.gr (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4033 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(696\)

Dimensions

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

Total New Old
Modular forms 4212 4212 0
Cusp forms 4164 4164 0
Eisenstein series 48 48 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.