Properties

Label 6031.2.df
Level $6031$
Weight $2$
Character orbit 6031.df
Rep. character $\chi_{6031}(514,\cdot)$
Character field $\Q(\zeta_{27})$
Dimension $9324$
Sturm bound $1038$

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Defining parameters

Level: \( N \) \(=\) \( 6031 = 37 \cdot 163 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6031.df (of order \(27\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6031 \)
Character field: \(\Q(\zeta_{27})\)
Sturm bound: \(1038\)

Dimensions

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

Total New Old
Modular forms 9396 9396 0
Cusp forms 9324 9324 0
Eisenstein series 72 72 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.