Properties

 Label 1840.2.bs Level $1840$ Weight $2$ Character orbit 1840.bs Rep. character $\chi_{1840}(79,\cdot)$ Character field $\Q(\zeta_{22})$ Dimension $720$ Sturm bound $576$

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$1840 = 2^{4} \cdot 5 \cdot 23$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 1840.bs (of order $$22$$ and degree $$10$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$460$$ Character field: $$\Q(\zeta_{22})$$ Sturm bound: $$576$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(1840, [\chi])$$.

Total New Old
Modular forms 3000 720 2280
Cusp forms 2760 720 2040
Eisenstein series 240 0 240

Trace form

 $$720q - 72q^{9} + O(q^{10})$$ $$720q - 72q^{9} - 24q^{29} - 24q^{41} + 96q^{49} - 36q^{69} + 384q^{81} - 60q^{85} + O(q^{100})$$

Decomposition of $$S_{2}^{\mathrm{new}}(1840, [\chi])$$ into newform subspaces

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

Decomposition of $$S_{2}^{\mathrm{old}}(1840, [\chi])$$ into lower level spaces

$$S_{2}^{\mathrm{old}}(1840, [\chi]) \cong$$ $$S_{2}^{\mathrm{new}}(460, [\chi])$$$$^{\oplus 3}$$