Properties

Label 4005.2.cj
Level $4005$
Weight $2$
Character orbit 4005.cj
Rep. character $\chi_{4005}(52,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $4288$
Sturm bound $1080$

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Defining parameters

Level: \( N \) \(=\) \( 4005 = 3^{2} \cdot 5 \cdot 89 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4005.cj (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4005 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4005, [\chi])\).

Total New Old
Modular forms 4352 4352 0
Cusp forms 4288 4288 0
Eisenstein series 64 64 0

Decomposition of \(S_{2}^{\mathrm{new}}(4005, [\chi])\) into newform subspaces

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