Properties

Label 6008.2.w
Level 6008
Weight 2
Character orbit w
Rep. character \(\chi_{6008}(2333,\cdot)\)
Character field \(\Q(\zeta_{10})\)
Dimension 3000
Sturm bound 1504

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 6008 = 2^{3} \cdot 751 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6008.w (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 6008 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(1504\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6008, [\chi])\).

Total New Old
Modular forms 3016 3016 0
Cusp forms 3000 3000 0
Eisenstein series 16 16 0

Decomposition of \(S_{2}^{\mathrm{new}}(6008, [\chi])\) into irreducible Hecke orbits

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