# Properties

 Label 2001.2.s Level $2001$ Weight $2$ Character orbit 2001.s Rep. character $\chi_{2001}(344,\cdot)$ Character field $\Q(\zeta_{14})$ Dimension $1416$ Sturm bound $480$

# Related objects

## Defining parameters

 Level: $$N$$ $$=$$ $$2001 = 3 \cdot 23 \cdot 29$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 2001.s (of order $$14$$ and degree $$6$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$2001$$ Character field: $$\Q(\zeta_{14})$$ Sturm bound: $$480$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(2001, [\chi])$$.

Total New Old
Modular forms 1464 1464 0
Cusp forms 1416 1416 0
Eisenstein series 48 48 0

## Trace form

 $$1416q - 10q^{3} + 212q^{4} + 8q^{6} - 18q^{9} + O(q^{10})$$ $$1416q - 10q^{3} + 212q^{4} + 8q^{6} - 18q^{9} - 14q^{12} - 292q^{16} - 24q^{18} - 58q^{24} - 232q^{25} + 20q^{27} - 36q^{31} - 56q^{36} + 44q^{39} + 72q^{46} - 97q^{48} + 352q^{49} - 88q^{52} - 46q^{54} + 100q^{55} - 58q^{58} - 46q^{64} - 51q^{69} - 320q^{70} - 64q^{72} + 20q^{73} - 16q^{75} + 124q^{78} - 34q^{81} - 40q^{82} - 92q^{85} - 62q^{87} + 66q^{93} - 208q^{94} + 5q^{96} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(2001, [\chi])$$ into newform subspaces

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