Properties

Label 4033.2.if
Level 4033
Weight 2
Character orbit if
Rep. character \(\chi_{4033}(52,\cdot)\)
Character field \(\Q(\zeta_{108})\)
Dimension 12456
Sturm bound 696

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 4033 = 37 \cdot 109 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4033.if (of order \(108\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4033 \)
Character field: \(\Q(\zeta_{108})\)
Sturm bound: \(696\)

Dimensions

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

Total New Old
Modular forms 12600 12600 0
Cusp forms 12456 12456 0
Eisenstein series 144 144 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.