# Properties

 Label 2100.2.di Level 2100 Weight 2 Character orbit di Rep. character $$\chi_{2100}(179,\cdot)$$ Character field $$\Q(\zeta_{30})$$ Dimension 3776 Sturm bound 960

# Related objects

## Defining parameters

 Level: $$N$$ $$=$$ $$2100 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 2100.di (of order $$30$$ and degree $$8$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$2100$$ Character field: $$\Q(\zeta_{30})$$ Sturm bound: $$960$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(2100, [\chi])$$.

Total New Old
Modular forms 3904 3904 0
Cusp forms 3776 3776 0
Eisenstein series 128 128 0

## Trace form

 $$3776q - 6q^{4} - 4q^{6} - 6q^{9} + O(q^{10})$$ $$3776q - 6q^{4} - 4q^{6} - 6q^{9} - 16q^{10} - 5q^{12} - 80q^{13} - 6q^{16} + 6q^{21} - 40q^{22} - 14q^{24} - 20q^{25} + 20q^{28} - 7q^{30} - 10q^{33} - 8q^{34} - 88q^{36} - 20q^{37} + 8q^{40} - 70q^{42} + 12q^{45} + 30q^{46} - 20q^{48} - 56q^{49} - 110q^{52} - 7q^{54} - 70q^{58} + 19q^{60} - 12q^{61} + 24q^{64} + 7q^{66} + 76q^{70} - 5q^{72} - 20q^{73} + 64q^{76} + 10q^{78} - 30q^{81} + 39q^{84} - 88q^{85} - 70q^{88} - 74q^{90} + 10q^{94} - 21q^{96} + 120q^{97} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(2100, [\chi])$$ 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