Properties

 Label 6025.2.hc Level $6025$ Weight $2$ Character orbit 6025.hc Rep. character $\chi_{6025}(352,\cdot)$ Character field $\Q(\zeta_{80})$ Dimension $19296$ Sturm bound $1210$

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$6025 = 5^{2} \cdot 241$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 6025.hc (of order $$80$$ and degree $$32$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$6025$$ Character field: $$\Q(\zeta_{80})$$ Sturm bound: $$1210$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(6025, [\chi])$$.

Total New Old
Modular forms 19424 19424 0
Cusp forms 19296 19296 0
Eisenstein series 128 128 0

Decomposition of $$S_{2}^{\mathrm{new}}(6025, [\chi])$$ into newform subspaces

The newforms in this space have not yet been added to the LMFDB.