Properties

Label 4009.2.cj
Level $4009$
Weight $2$
Character orbit 4009.cj
Rep. character $\chi_{4009}(810,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $4224$
Sturm bound $706$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4009 = 19 \cdot 211 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4009.cj (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4009 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(706\)

Dimensions

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

Total New Old
Modular forms 4272 4272 0
Cusp forms 4224 4224 0
Eisenstein series 48 48 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.