Properties

Label 6008.2.h
Level 6008
Weight 2
Character orbit h
Rep. character \(\chi_{6008}(6007,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 1504
Trace bound 0

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Defining parameters

Level: \( N \) = \( 6008 = 2^{3} \cdot 751 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6008.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 3004 \)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(1504\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 756 0 756
Cusp forms 748 0 748
Eisenstein series 8 0 8

Decomposition of \(S_{2}^{\mathrm{old}}(6008, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6008, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3004, [\chi])\)\(^{\oplus 2}\)