Properties

Label 4033.2.bm
Level 4033
Weight 2
Character orbit bm
Rep. character \(\chi_{4033}(68,\cdot)\)
Character field \(\Q(\zeta_{12})\)
Dimension 1380
Sturm bound 696

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Defining parameters

Level: \( N \) = \( 4033 = 37 \cdot 109 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4033.bm (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 4033 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(696\)

Dimensions

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

Total New Old
Modular forms 1396 1396 0
Cusp forms 1380 1380 0
Eisenstein series 16 16 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.