Properties

Label 8033.2.u
Level $8033$
Weight $2$
Character orbit 8033.u
Rep. character $\chi_{8033}(1844,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $2772$
Sturm bound $1390$

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Defining parameters

Level: \( N \) \(=\) \( 8033 = 29 \cdot 277 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8033.u (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8033 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1390\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8033, [\chi])\).

Total New Old
Modular forms 2788 2788 0
Cusp forms 2772 2772 0
Eisenstein series 16 16 0

Decomposition of \(S_{2}^{\mathrm{new}}(8033, [\chi])\) into newform subspaces

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