Properties

Label 6031.2.gl
Level $6031$
Weight $2$
Character orbit 6031.gl
Rep. character $\chi_{6031}(41,\cdot)$
Character field $\Q(\zeta_{162})$
Dimension $27918$
Sturm bound $1038$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6031 = 37 \cdot 163 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6031.gl (of order \(162\) and degree \(54\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6031 \)
Character field: \(\Q(\zeta_{162})\)
Sturm bound: \(1038\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6031, [\chi])\).

Total New Old
Modular forms 28134 28134 0
Cusp forms 27918 27918 0
Eisenstein series 216 216 0

Decomposition of \(S_{2}^{\mathrm{new}}(6031, [\chi])\) into newform subspaces

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