Properties

Label 4003.2.o
Level 4003
Weight 2
Character orbit o
Rep. character \(\chi_{4003}(4,\cdot)\)
Character field \(\Q(\zeta_{2001})\)
Dimension 410256
Sturm bound 667

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Defining parameters

Level: \( N \) = \( 4003 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4003.o (of order \(2001\) and degree \(1232\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4003 \)
Character field: \(\Q(\zeta_{2001})\)
Sturm bound: \(667\)

Dimensions

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

Total New Old
Modular forms 412720 412720 0
Cusp forms 410256 410256 0
Eisenstein series 2464 2464 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.