Properties

Label 4008.2.x
Level $4008$
Weight $2$
Character orbit 4008.x
Rep. character $\chi_{4008}(11,\cdot)$
Character field $\Q(\zeta_{166})$
Dimension $54776$
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.x (of order \(166\) and degree \(82\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4008 \)
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 55432 0
Cusp forms 54776 54776 0
Eisenstein series 656 656 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.