# Properties

 Label 1183.2.bl Level $1183$ Weight $2$ Character orbit 1183.bl Rep. character $\chi_{1183}(53,\cdot)$ Character field $\Q(\zeta_{39})$ Dimension $2880$ Sturm bound $242$

# Related objects

## Defining parameters

 Level: $$N$$ $$=$$ $$1183 = 7 \cdot 13^{2}$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 1183.bl (of order $$39$$ and degree $$24$$) Character conductor: $$\operatorname{cond}(\chi)$$ $$=$$ $$1183$$ Character field: $$\Q(\zeta_{39})$$ Sturm bound: $$242$$

## Dimensions

The following table gives the dimensions of various subspaces of $$M_{2}(1183, [\chi])$$.

Total New Old
Modular forms 2976 2976 0
Cusp forms 2880 2880 0
Eisenstein series 96 96 0

## Trace form

 $$2880q - 11q^{2} - 13q^{3} + 109q^{4} - 11q^{5} - 52q^{6} - 20q^{7} - 52q^{8} + 103q^{9} + O(q^{10})$$ $$2880q - 11q^{2} - 13q^{3} + 109q^{4} - 11q^{5} - 52q^{6} - 20q^{7} - 52q^{8} + 103q^{9} - 23q^{10} - 11q^{11} - 23q^{12} + 48q^{13} - 14q^{14} - 136q^{15} + 121q^{16} - 19q^{17} - 13q^{18} - 18q^{19} - 84q^{20} - 28q^{21} - 128q^{22} - 32q^{23} + 7q^{24} + 105q^{25} - 7q^{26} - 40q^{27} - 56q^{28} - 36q^{29} + 35q^{30} - 9q^{31} - 66q^{32} - 5q^{33} - 20q^{34} - 34q^{35} - 288q^{36} - 5q^{37} + 131q^{38} + 39q^{39} - 5q^{40} - 80q^{41} + 70q^{42} - 32q^{43} - 45q^{44} - 45q^{45} + 59q^{46} - 11q^{47} - 16q^{48} - 168q^{49} - 60q^{50} - 51q^{51} - 7q^{52} + 95q^{53} - 73q^{54} - 44q^{55} - 10q^{56} + 58q^{57} - 3q^{58} - 107q^{59} - 57q^{60} - 23q^{61} + 28q^{62} - q^{63} - 316q^{64} - 11q^{65} - 56q^{66} - 61q^{67} - 102q^{68} - 22q^{69} + 102q^{70} + 6q^{71} - 35q^{72} + 9q^{73} + 57q^{74} + 88q^{75} + 160q^{76} + 42q^{77} - 32q^{78} - 11q^{79} + 44q^{80} + 59q^{81} + 31q^{82} - 64q^{83} + 319q^{84} - 256q^{85} - 37q^{86} - 25q^{87} - 47q^{88} - 30q^{89} + 48q^{90} - 138q^{91} + 68q^{92} - 34q^{93} - 47q^{94} + 159q^{95} - 35q^{96} + 172q^{97} - 60q^{98} - 120q^{99} + O(q^{100})$$

## Decomposition of $$S_{2}^{\mathrm{new}}(1183, [\chi])$$ into newform subspaces

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