Properties

Label 6017.2.bt
Level 6017
Weight 2
Character orbit bt
Rep. character \(\chi_{6017}(47,\cdot)\)
Character field \(\Q(\zeta_{195})\)
Dimension 52416
Sturm bound 1096

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Defining parameters

Level: \( N \) \(=\) \( 6017 = 11 \cdot 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6017.bt (of order \(195\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6017 \)
Character field: \(\Q(\zeta_{195})\)
Sturm bound: \(1096\)

Dimensions

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

Total New Old
Modular forms 52800 52800 0
Cusp forms 52416 52416 0
Eisenstein series 384 384 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.

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database