Properties

 Label 8033.2.bi Level $8033$ Weight $2$ Character orbit 8033.bi Rep. character $\chi_{8033}(161,\cdot)$ Character field $\Q(\zeta_{42})$ Dimension $8328$ Sturm bound $1390$

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$8033 = 29 \cdot 277$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 8033.bi (of order $$42$$ and degree $$12$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$8033$$ Character field: $$\Q(\zeta_{42})$$ Sturm bound: $$1390$$

Dimensions

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

Total New Old
Modular forms 8376 8376 0
Cusp forms 8328 8328 0
Eisenstein series 48 48 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