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Properties

Label 1088.2.dj
Level $1088$
Weight $2$
Character orbit 1088.dj
Rep. character $\chi_{1088}(253,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $1136$
Sturm bound $288$

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Defining parameters

Level: \( N \) \(=\) \( 1088 = 2^{6} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1088.dj (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

\( 1136 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 8 q^{6} - 16 q^{7} - 8 q^{8} - 8 q^{9} + O(q^{10}) \) \( 1136 q - 8 q^{2} - 8 q^{3} - 8 q^{5} - 8 q^{6} - 16 q^{7} - 8 q^{8} - 8 q^{9} - 24 q^{10} - 8 q^{11} - 8 q^{12} - 24 q^{14} - 80 q^{15} - 16 q^{16} - 8 q^{17} + 24 q^{18} - 8 q^{19} - 40 q^{20} - 24 q^{21} - 8 q^{22} - 8 q^{23} - 48 q^{24} - 8 q^{25} - 8 q^{26} + 16 q^{27} - 40 q^{28} - 8 q^{29} - 32 q^{30} + 32 q^{32} + 56 q^{34} - 56 q^{35} - 8 q^{36} - 8 q^{37} - 56 q^{38} - 8 q^{39} - 8 q^{40} - 8 q^{41} - 48 q^{42} - 8 q^{43} - 8 q^{44} - 72 q^{45} + 80 q^{46} + 56 q^{48} + 1024 q^{49} - 16 q^{50} - 8 q^{51} - 16 q^{52} - 8 q^{53} + 56 q^{54} - 8 q^{56} + 56 q^{58} - 8 q^{59} - 40 q^{60} - 8 q^{61} - 8 q^{62} - 72 q^{63} - 16 q^{65} + 8 q^{66} - 16 q^{67} - 8 q^{68} - 40 q^{69} - 120 q^{70} - 72 q^{71} + 112 q^{72} - 16 q^{73} + 80 q^{74} - 48 q^{75} - 8 q^{76} - 8 q^{77} + 144 q^{78} + 24 q^{79} + 104 q^{80} - 88 q^{82} + 72 q^{83} + 24 q^{84} - 8 q^{85} - 16 q^{86} - 8 q^{87} - 48 q^{88} - 56 q^{90} - 32 q^{91} - 8 q^{92} - 8 q^{93} + 64 q^{94} - 8 q^{96} - 176 q^{98} + 16 q^{99} + O(q^{100}) \)

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.