Properties

Label 1183.2.bz
Level $1183$
Weight $2$
Character orbit 1183.bz
Rep. character $\chi_{1183}(4,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $2856$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1183 = 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1183.bz (of order \(78\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1183 \)
Character field: \(\Q(\zeta_{78})\)
Sturm bound: \(242\)

Dimensions

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

Total New Old
Modular forms 2952 2952 0
Cusp forms 2856 2856 0
Eisenstein series 96 96 0

Trace form

\( 2856q - 13q^{2} - 11q^{3} + 221q^{4} - 13q^{5} - 46q^{6} - 19q^{7} - 52q^{8} + 98q^{9} + O(q^{10}) \) \( 2856q - 13q^{2} - 11q^{3} + 221q^{4} - 13q^{5} - 46q^{6} - 19q^{7} - 52q^{8} + 98q^{9} - 22q^{10} - 16q^{11} - 11q^{12} - 48q^{13} - 34q^{14} - 95q^{15} - 243q^{16} + 5q^{17} - 10q^{18} - 45q^{19} - 46q^{20} - 42q^{21} - 22q^{22} - 16q^{23} - 31q^{24} - 120q^{25} - 19q^{26} - 62q^{27} - 21q^{28} - 48q^{29} - 125q^{30} - 28q^{31} + 117q^{32} + 2q^{33} - 52q^{34} - 11q^{35} - 139q^{36} - 13q^{37} + 61q^{38} - 106q^{39} - 9q^{40} - 37q^{41} - 129q^{42} - 54q^{43} + 63q^{44} - 13q^{45} - 117q^{46} - 13q^{47} - 46q^{48} - 109q^{49} - 76q^{50} - 13q^{51} - 8q^{52} - 122q^{53} + 65q^{54} - 32q^{55} - 45q^{56} - 13q^{57} - 50q^{58} + 91q^{59} + 20q^{60} - 9q^{61} - 88q^{62} + 67q^{63} + 172q^{64} - 37q^{65} - 19q^{66} - 43q^{67} - 141q^{68} - 94q^{69} + 294q^{70} - 163q^{71} - 64q^{72} - 70q^{73} + 25q^{74} - 51q^{75} + 120q^{76} - 32q^{77} - 99q^{78} + 15q^{79} + 39q^{80} + 78q^{81} - 9q^{82} - 52q^{83} + 475q^{84} + 55q^{85} - q^{86} - 19q^{87} - 54q^{88} - 52q^{90} - 63q^{91} - 34q^{92} + 208q^{93} + 155q^{94} - 181q^{95} - 25q^{96} - 118q^{97} + 16q^{98} + O(q^{100}) \)

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

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