Properties

Label 6018.2.i
Level 6018
Weight 2
Character orbit i
Rep. character \(\chi_{6018}(353,\cdot)\)
Character field \(\Q(\zeta_{4})\)
Dimension 720
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.i (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 3009 \)
Character field: \(\Q(i)\)
Sturm bound: \(2160\)

Dimensions

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

Total New Old
Modular forms 2176 720 1456
Cusp forms 2144 720 1424
Eisenstein series 32 0 32

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

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