Properties

Label 4033.2.ht
Level 4033
Weight 2
Character orbit ht
Rep. character \(\chi_{4033}(192,\cdot)\)
Character field \(\Q(\zeta_{54})\)
Dimension 6246
Sturm bound 696

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Defining parameters

Level: \( N \) = \( 4033 = 37 \cdot 109 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4033.ht (of order \(54\) and degree \(18\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4033 \)
Character field: \(\Q(\zeta_{54})\)
Sturm bound: \(696\)

Dimensions

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

Total New Old
Modular forms 6318 6318 0
Cusp forms 6246 6246 0
Eisenstein series 72 72 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.