Properties

Label 6031.2.fs
Level $6031$
Weight $2$
Character orbit 6031.fs
Rep. character $\chi_{6031}(13,\cdot)$
Character field $\Q(\zeta_{108})$
Dimension $18648$
Sturm bound $1038$

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Defining parameters

Level: \( N \) \(=\) \( 6031 = 37 \cdot 163 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6031.fs (of order \(108\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6031 \)
Character field: \(\Q(\zeta_{108})\)
Sturm bound: \(1038\)

Dimensions

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

Total New Old
Modular forms 18792 18792 0
Cusp forms 18648 18648 0
Eisenstein series 144 144 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.