Properties

Label 8033.2.cb
Level $8033$
Weight $2$
Character orbit 8033.cb
Rep. character $\chi_{8033}(407,\cdot)$
Character field $\Q(\zeta_{138})$
Dimension $28512$
Sturm bound $1390$

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Defining parameters

Level: \( N \) \(=\) \( 8033 = 29 \cdot 277 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8033.cb (of order \(138\) and degree \(44\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 277 \)
Character field: \(\Q(\zeta_{138})\)
Sturm bound: \(1390\)

Dimensions

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

Total New Old
Modular forms 30712 28512 2200
Cusp forms 30536 28512 2024
Eisenstein series 176 0 176

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(8033, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8033, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(277, [\chi])\)\(^{\oplus 2}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database