Properties

Label 8033.2.bs
Level $8033$
Weight $2$
Character orbit 8033.bs
Rep. character $\chi_{8033}(182,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $16632$
Sturm bound $1390$

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 8033 = 29 \cdot 277 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8033.bs (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8033 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(1390\)

Dimensions

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

Total New Old
Modular forms 16728 16728 0
Cusp forms 16632 16632 0
Eisenstein series 96 96 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