Properties

Label 4004.2.fx
Level $4004$
Weight $2$
Character orbit 4004.fx
Rep. character $\chi_{4004}(355,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $5312$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 4004 = 2^{2} \cdot 7 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4004.fx (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4004 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4004, [\chi])\).

Total New Old
Modular forms 5440 5440 0
Cusp forms 5312 5312 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(4004, [\chi])\) into newform subspaces

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