Properties

Label 4008.2.i
Level $4008$
Weight $2$
Character orbit 4008.i
Rep. character $\chi_{4008}(3005,\cdot)$
Character field $\Q$
Dimension $668$
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.i (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4008 \)
Character field: \(\Q\)
Sturm bound: \(1344\)

Dimensions

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

Total New Old
Modular forms 676 676 0
Cusp forms 668 668 0
Eisenstein series 8 8 0

Decomposition of \(S_{2}^{\mathrm{new}}(4008, [\chi])\) into newform subspaces

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