Properties

Label 6018.2.bc
Level 6018
Weight 2
Character orbit bc
Rep. character \(\chi_{6018}(361,\cdot)\)
Character field \(\Q(\zeta_{116})\)
Dimension 10080
Sturm bound 2160

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 6018 = 2 \cdot 3 \cdot 17 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6018.bc (of order \(116\) and degree \(56\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 1003 \)
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 10080 50848
Cusp forms 60032 10080 49952
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

\( S_{2}^{\mathrm{old}}(6018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1003, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2006, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3009, [\chi])\)\(^{\oplus 2}\)