Properties

Label 4033.2.cn
Level 4033
Weight 2
Character orbit cn
Rep. character \(\chi_{4033}(529,\cdot)\)
Character field \(\Q(\zeta_{18})\)
Dimension 2064
Sturm bound 696

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Defining parameters

Level: \( N \) = \( 4033 = 37 \cdot 109 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4033.cn (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4033 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(696\)

Dimensions

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

Total New Old
Modular forms 2088 2088 0
Cusp forms 2064 2064 0
Eisenstein series 24 24 0

Decomposition of \(S_{2}^{\mathrm{new}}(4033, [\chi])\) into irreducible Hecke orbits

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