Properties

Label 8033.2.cm
Level $8033$
Weight $2$
Character orbit 8033.cm
Rep. character $\chi_{8033}(23,\cdot)$
Character field $\Q(\zeta_{483})$
Dimension $182688$
Sturm bound $1390$

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Defining parameters

Level: \( N \) \(=\) \( 8033 = 29 \cdot 277 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8033.cm (of order \(483\) and degree \(264\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8033 \)
Character field: \(\Q(\zeta_{483})\)
Sturm bound: \(1390\)

Dimensions

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

Total New Old
Modular forms 183744 183744 0
Cusp forms 182688 182688 0
Eisenstein series 1056 1056 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