Properties

Label 6042.2.cc
Level $6042$
Weight $2$
Character orbit 6042.cc
Rep. character $\chi_{6042}(221,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $8640$
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.cc (of order \(78\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3021 \)
Character field: \(\Q(\zeta_{78})\)
Sturm bound: \(2160\)

Dimensions

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

Total New Old
Modular forms 26112 8640 17472
Cusp forms 25728 8640 17088
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

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