Properties

Label 6017.2.cb
Level $6017$
Weight $2$
Character orbit 6017.cb
Rep. character $\chi_{6017}(64,\cdot)$
Character field $\Q(\zeta_{455})$
Dimension $157248$
Sturm bound $1096$

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Defining parameters

Level: \( N \) \(=\) \( 6017 = 11 \cdot 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6017.cb (of order \(455\) and degree \(288\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6017 \)
Character field: \(\Q(\zeta_{455})\)
Sturm bound: \(1096\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6017, [\chi])\).

Total New Old
Modular forms 158400 158400 0
Cusp forms 157248 157248 0
Eisenstein series 1152 1152 0

Decomposition of \(S_{2}^{\mathrm{new}}(6017, [\chi])\) into newform subspaces

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