Properties

Label 4003.2.f
Level 4003
Weight 2
Character orbit f
Rep. character \(\chi_{4003}(102,\cdot)\)
Character field \(\Q(\zeta_{29})\)
Dimension 9296
Sturm bound 667

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Defining parameters

Level: \( N \) = \( 4003 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4003.f (of order \(29\) and degree \(28\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4003 \)
Character field: \(\Q(\zeta_{29})\)
Sturm bound: \(667\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4003, [\chi])\).

Total New Old
Modular forms 9352 9352 0
Cusp forms 9296 9296 0
Eisenstein series 56 56 0

Decomposition of \(S_{2}^{\mathrm{new}}(4003, [\chi])\) into irreducible Hecke orbits

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