Properties

Label 6042.2.bs
Level $6042$
Weight $2$
Character orbit 6042.bs
Rep. character $\chi_{6042}(49,\cdot)$
Character field $\Q(\zeta_{39})$
Dimension $4320$
Sturm bound $2160$

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Defining parameters

Level: \( N \) \(=\) \( 6042 = 2 \cdot 3 \cdot 19 \cdot 53 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6042.bs (of order \(39\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1007 \)
Character field: \(\Q(\zeta_{39})\)
Sturm bound: \(2160\)

Dimensions

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

Total New Old
Modular forms 26112 4320 21792
Cusp forms 25728 4320 21408
Eisenstein series 384 0 384

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

\( S_{2}^{\mathrm{old}}(6042, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1007, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2014, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3021, [\chi])\)\(^{\oplus 2}\)