Properties

Label 6017.2.j
Level 6017
Weight 2
Character orbit j
Rep. character \(\chi_{6017}(628,\cdot)\)
Character field \(\Q(\zeta_{7})\)
Dimension 2748
Sturm bound 1096

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Defining parameters

Level: \( N \) \(=\) \( 6017 = 11 \cdot 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6017.j (of order \(7\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 547 \)
Character field: \(\Q(\zeta_{7})\)
Sturm bound: \(1096\)

Dimensions

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

Total New Old
Modular forms 3300 2748 552
Cusp forms 3276 2748 528
Eisenstein series 24 0 24

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(6017, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6017, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(547, [\chi])\)\(^{\oplus 2}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database