Properties

Label 6018.2.bf
Level 6018
Weight 2
Character orbit bf
Rep. character \(\chi_{6018}(47,\cdot)\)
Character field \(\Q(\zeta_{116})\)
Dimension 20160
Sturm bound 2160

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Defining parameters

Level: \( N \) = \( 6018 = 2 \cdot 3 \cdot 17 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6018.bf (of order \(116\) and degree \(56\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 3009 \)
Character field: \(\Q(\zeta_{116})\)
Sturm bound: \(2160\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6018, [\chi])\).

Total New Old
Modular forms 60928 20160 40768
Cusp forms 60032 20160 39872
Eisenstein series 896 0 896

Decomposition of \(S_{2}^{\mathrm{new}}(6018, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(6018, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3009, [\chi])\)\(^{\oplus 2}\)