Properties

Label 6039.2.fk
Level $6039$
Weight $2$
Character orbit 6039.fk
Rep. character $\chi_{6039}(1061,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1984$
Sturm bound $1488$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6039 = 3^{2} \cdot 11 \cdot 61 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6039.fk (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2013 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(1488\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6039, [\chi])\).

Total New Old
Modular forms 6016 1984 4032
Cusp forms 5888 1984 3904
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(6039, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6039, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6039, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2013, [\chi])\)\(^{\oplus 2}\)