Properties

Label 8033.2.db
Level $8033$
Weight $2$
Character orbit 8033.db
Rep. character $\chi_{8033}(11,\cdot)$
Character field $\Q(\zeta_{1932})$
Dimension $365904$
Sturm bound $1390$

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Defining parameters

Level: \( N \) \(=\) \( 8033 = 29 \cdot 277 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8033.db (of order \(1932\) and degree \(528\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8033 \)
Character field: \(\Q(\zeta_{1932})\)
Sturm bound: \(1390\)

Dimensions

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

Total New Old
Modular forms 368016 368016 0
Cusp forms 365904 365904 0
Eisenstein series 2112 2112 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.

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database