Properties

Label 4033.2.jx
Level $4033$
Weight $2$
Character orbit 4033.jx
Rep. character $\chi_{4033}(39,\cdot)$
Character field $\Q(\zeta_{108})$
Dimension $12456$
Sturm bound $696$

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Defining parameters

Level: \( N \) \(=\) \( 4033 = 37 \cdot 109 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4033.jx (of order \(108\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4033 \)
Character field: \(\Q(\zeta_{108})\)
Sturm bound: \(696\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4033, [\chi])\).

Total New Old
Modular forms 12600 12600 0
Cusp forms 12456 12456 0
Eisenstein series 144 144 0

Decomposition of \(S_{2}^{\mathrm{new}}(4033, [\chi])\) into newform subspaces

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