Properties

Label 8033.2.cl
Level $8033$
Weight $2$
Character orbit 8033.cl
Rep. character $\chi_{8033}(4,\cdot)$
Character field $\Q(\zeta_{322})$
Dimension $91344$
Sturm bound $1390$

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Defining parameters

Level: \( N \) \(=\) \( 8033 = 29 \cdot 277 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8033.cl (of order \(322\) and degree \(132\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8033 \)
Character field: \(\Q(\zeta_{322})\)
Sturm bound: \(1390\)

Dimensions

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

Total New Old
Modular forms 91872 91872 0
Cusp forms 91344 91344 0
Eisenstein series 528 528 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