Properties

Label 6018.2.bn
Level 6018
Weight 2
Character orbit bn
Rep. character \(\chi_{6018}(5,\cdot)\)
Character field \(\Q(\zeta_{464})\)
Dimension 80640
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.bn (of order \(464\) and degree \(224\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 3009 \)
Character field: \(\Q(\zeta_{464})\)
Sturm bound: \(2160\)

Dimensions

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

Total New Old
Modular forms 243712 80640 163072
Cusp forms 240128 80640 159488
Eisenstein series 3584 0 3584

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

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