# Properties

 Label 4025.2.dm Level 4025 Weight 2 Character orbit dm Rep. character $$\chi_{4025}(4,\cdot)$$ Character field $$\Q(\zeta_{330})$$ Dimension 38080 Sturm bound 960

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## Defining parameters

 Level: $$N$$ = $$4025 = 5^{2} \cdot 7 \cdot 23$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 4025.dm (of order $$330$$ and degree $$80$$) Character conductor: $$\operatorname{cond}(\chi)$$ = $$4025$$ Character field: $$\Q(\zeta_{330})$$ Sturm bound: $$960$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(4025, [\chi])$$.

Total New Old
Modular forms 38720 38720 0
Cusp forms 38080 38080 0
Eisenstein series 640 640 0

## Decomposition of $$S_{2}^{\mathrm{new}}(4025, [\chi])$$ 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