Properties

Label 6008.2.bp
Level 6008
Weight 2
Character orbit bp
Rep. character \(\chi_{6008}(49,\cdot)\)
Character field \(\Q(\zeta_{125})\)
Dimension 18800
Sturm bound 1504

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Defining parameters

Level: \( N \) = \( 6008 = 2^{3} \cdot 751 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6008.bp (of order \(125\) and degree \(100\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 751 \)
Character field: \(\Q(\zeta_{125})\)
Sturm bound: \(1504\)

Dimensions

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

Total New Old
Modular forms 75600 18800 56800
Cusp forms 74800 18800 56000
Eisenstein series 800 0 800

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.

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

\( S_{2}^{\mathrm{old}}(6008, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(751, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1502, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3004, [\chi])\)\(^{\oplus 2}\)