↑

Properties

Label 1088.2.cf
Level $1088$
Weight $2$
Character orbit 1088.cf
Rep. character $\chi_{1088}(77,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $1136$
Sturm bound $288$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1088 = 2^{6} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1088.cf (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1088 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1088, [\chi])\).

Total New Old
Modular forms 1168 1168 0
Cusp forms 1136 1136 0
Eisenstein series 32 32 0

Trace form

\( 1136 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} + O(q^{10}) \) \( 1136 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} + 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{14} - 16 q^{16} - 8 q^{17} + 24 q^{18} - 8 q^{19} + 24 q^{20} + 24 q^{21} + 40 q^{22} - 16 q^{23} - 48 q^{24} - 8 q^{25} - 8 q^{26} - 8 q^{27} + 40 q^{28} - 8 q^{29} + 32 q^{30} + 32 q^{32} - 24 q^{34} - 56 q^{35} - 8 q^{36} - 8 q^{37} + 56 q^{38} - 8 q^{40} - 48 q^{42} - 8 q^{43} + 80 q^{44} + 16 q^{45} - 88 q^{46} - 8 q^{48} - 16 q^{50} - 8 q^{51} - 16 q^{52} - 8 q^{53} + 104 q^{54} - 8 q^{56} - 8 q^{57} - 128 q^{58} - 8 q^{59} - 56 q^{60} - 8 q^{61} - 8 q^{62} - 72 q^{63} - 16 q^{65} + 8 q^{66} - 16 q^{67} - 112 q^{68} - 40 q^{69} - 8 q^{70} - 112 q^{72} - 8 q^{73} - 168 q^{74} + 8 q^{75} - 8 q^{76} - 8 q^{77} + 56 q^{78} - 40 q^{79} - 88 q^{80} + 88 q^{82} - 88 q^{83} + 24 q^{84} - 72 q^{85} - 16 q^{86} - 8 q^{87} - 8 q^{88} - 136 q^{90} - 104 q^{91} + 8 q^{92} - 8 q^{93} - 80 q^{94} - 8 q^{96} + 176 q^{98} + 88 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1088, [\chi])\) into newform subspaces

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