Properties

Label 4033.2.h
Level 4033
Weight 2
Character orbit h
Rep. character \(\chi_{4033}(2443,\cdot)\)
Character field \(\Q(\zeta_{3})\)
Dimension 660
Sturm bound 696

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Defining parameters

Level: \( N \) = \( 4033 = 37 \cdot 109 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4033.h (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 109 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(696\)

Dimensions

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

Total New Old
Modular forms 696 660 36
Cusp forms 688 660 28
Eisenstein series 8 0 8

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.

Decomposition of \(S_{2}^{\mathrm{old}}(4033, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4033, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(109, [\chi])\)\(^{\oplus 2}\)