Properties

Label 6008.2.bt
Level 6008
Weight 2
Character orbit bt
Rep. character \(\chi_{6008}(11,\cdot)\)
Character field \(\Q(\zeta_{150})\)
Dimension 30000
Sturm bound 1504

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Defining parameters

Level: \( N \) = \( 6008 = 2^{3} \cdot 751 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6008.bt (of order \(150\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 6008 \)
Character field: \(\Q(\zeta_{150})\)
Sturm bound: \(1504\)

Dimensions

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

Total New Old
Modular forms 30160 30160 0
Cusp forms 30000 30000 0
Eisenstein series 160 160 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.