Properties

Label 4001.2.r
Level 4001
Weight 2
Character orbit 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 irreducible Hecke orbits

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