Properties

 Label 1520.2.eg Level $1520$ Weight $2$ Character orbit 1520.eg Rep. character $\chi_{1520}(53,\cdot)$ Character field $\Q(\zeta_{36})$ Dimension $2832$ Sturm bound $480$

Related objects

Defining parameters

 Level: $$N$$ $$=$$ $$1520 = 2^{4} \cdot 5 \cdot 19$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 1520.eg (of order $$36$$ and degree $$12$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$1520$$ Character field: $$\Q(\zeta_{36})$$ Sturm bound: $$480$$

Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(1520, [\chi])$$.

Total New Old
Modular forms 2928 2928 0
Cusp forms 2832 2832 0
Eisenstein series 96 96 0

Trace form

 $$2832q - 12q^{2} - 24q^{3} + 12q^{4} - 12q^{5} - 24q^{6} - 18q^{8} + O(q^{10})$$ $$2832q - 12q^{2} - 24q^{3} + 12q^{4} - 12q^{5} - 24q^{6} - 18q^{8} - 12q^{10} - 12q^{11} - 18q^{12} - 24q^{13} - 24q^{15} - 12q^{16} - 24q^{17} - 24q^{20} - 24q^{21} - 36q^{24} + 36q^{26} - 36q^{27} + 48q^{28} - 6q^{30} - 72q^{31} + 18q^{32} - 24q^{33} - 48q^{34} + 18q^{35} - 72q^{36} - 114q^{38} + 132q^{40} - 48q^{42} - 6q^{45} - 36q^{46} - 24q^{47} - 96q^{48} - 18q^{50} - 48q^{51} - 12q^{52} + 48q^{54} + 120q^{58} - 78q^{60} - 24q^{61} - 84q^{62} + 60q^{63} - 48q^{64} - 36q^{65} - 24q^{66} - 6q^{68} - 144q^{69} - 12q^{70} + 120q^{72} + 144q^{74} - 24q^{76} + 54q^{78} + 90q^{80} - 48q^{81} - 252q^{82} - 12q^{83} - 216q^{84} - 12q^{85} - 24q^{86} - 18q^{88} - 66q^{90} - 24q^{91} - 12q^{92} - 60q^{93} - 24q^{95} + 48q^{96} - 24q^{97} + 18q^{98} + O(q^{100})$$

Decomposition of $$S_{2}^{\mathrm{new}}(1520, [\chi])$$ into newform subspaces

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