Properties

Label 4001.2.r
Level $4001$
Weight $2$
Character orbit 4001.r
Rep. character $\chi_{4001}(16,\cdot)$
Character field $\Q(\zeta_{250})$
Dimension $33200$
Sturm bound $667$

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Defining parameters

Level: \( N \) \(=\) \( 4001 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4001.r (of order \(250\) and degree \(100\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4001 \)
Character field: \(\Q(\zeta_{250})\)
Sturm bound: \(667\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4001, [\chi])\).

Total New Old
Modular forms 33400 33400 0
Cusp forms 33200 33200 0
Eisenstein series 200 200 0

Decomposition of \(S_{2}^{\mathrm{new}}(4001, [\chi])\) into newform subspaces

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