Properties

Label 6042.2.ct
Level $6042$
Weight $2$
Character orbit 6042.ct
Rep. character $\chi_{6042}(5,\cdot)$
Character field $\Q(\zeta_{468})$
Dimension $51840$
Sturm bound $2160$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6042 = 2 \cdot 3 \cdot 19 \cdot 53 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6042.ct (of order \(468\) and degree \(144\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3021 \)
Character field: \(\Q(\zeta_{468})\)
Sturm bound: \(2160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6042, [\chi])\).

Total New Old
Modular forms 156672 51840 104832
Cusp forms 154368 51840 102528
Eisenstein series 2304 0 2304

Decomposition of \(S_{2}^{\mathrm{new}}(6042, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6042, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6042, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3021, [\chi])\)\(^{\oplus 2}\)