Properties

Label 4008.2.u
Level 4008
Weight 2
Character orbit u
Rep. character \(\chi_{4008}(43,\cdot)\)
Character field \(\Q(\zeta_{166})\)
Dimension 27552
Sturm bound 1344

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Defining parameters

Level: \( N \) = \( 4008 = 2^{3} \cdot 3 \cdot 167 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4008.u (of order \(166\) and degree \(82\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 1336 \)
Character field: \(\Q(\zeta_{166})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4008, [\chi])\).

Total New Old
Modular forms 55432 27552 27880
Cusp forms 54776 27552 27224
Eisenstein series 656 0 656

Decomposition of \(S_{2}^{\mathrm{new}}(4008, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(4008, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4008, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1336, [\chi])\)\(^{\oplus 2}\)