# Properties

 Label 3549.2.dv Level $3549$ Weight $2$ Character orbit 3549.dv Rep. character $\chi_{3549}(62,\cdot)$ Character field $\Q(\zeta_{78})$ Dimension $11568$ Sturm bound $970$

# Related objects

## Defining parameters

 Level: $$N$$ $$=$$ $$3549 = 3 \cdot 7 \cdot 13^{2}$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 3549.dv (of order $$78$$ and degree $$24$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$3549$$ Character field: $$\Q(\zeta_{78})$$ Sturm bound: $$970$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(3549, [\chi])$$.

Total New Old
Modular forms 11760 11760 0
Cusp forms 11568 11568 0
Eisenstein series 192 192 0

## Trace form

 $$11568q + 380q^{4} - 43q^{7} - 52q^{9} + O(q^{10})$$ $$11568q + 380q^{4} - 43q^{7} - 52q^{9} - 18q^{15} + 384q^{16} - 52q^{18} - 26q^{21} - 76q^{22} + 852q^{25} - 46q^{28} - 112q^{30} - 70q^{36} - 92q^{37} - 68q^{39} - 22q^{42} - 126q^{43} - 124q^{46} - 45q^{49} - 80q^{51} + 26q^{57} - 108q^{58} - 52q^{60} - 28q^{63} - 1144q^{64} - 382q^{67} + 14q^{72} - 218q^{78} - 36q^{79} - 20q^{81} - 339q^{84} - 236q^{85} + 104q^{88} - 37q^{91} + 68q^{93} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(3549, [\chi])$$ into newform subspaces

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