Properties

Label 2304.3.cb
Level $2304$
Weight $3$
Character orbit 2304.cb
Rep. character $\chi_{2304}(5,\cdot)$
Character field $\Q(\zeta_{192})$
Dimension $49024$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2304 = 2^{8} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 2304.cb (of order \(192\) and degree \(64\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2304 \)
Character field: \(\Q(\zeta_{192})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(2304, [\chi])\).

Total New Old
Modular forms 49280 49280 0
Cusp forms 49024 49024 0
Eisenstein series 256 256 0

Trace form

\( 49024q - 96q^{2} - 64q^{3} - 32q^{4} - 96q^{5} - 64q^{6} - 32q^{7} - 64q^{9} + O(q^{10}) \) \( 49024q - 96q^{2} - 64q^{3} - 32q^{4} - 96q^{5} - 64q^{6} - 32q^{7} - 64q^{9} - 128q^{10} - 96q^{11} - 64q^{12} - 32q^{13} - 96q^{14} - 64q^{15} - 32q^{16} - 64q^{18} - 128q^{19} - 96q^{20} - 64q^{21} - 32q^{22} - 96q^{23} - 64q^{24} - 32q^{25} - 64q^{27} - 128q^{28} - 96q^{29} - 64q^{30} - 32q^{31} - 96q^{32} - 64q^{33} - 32q^{34} - 64q^{36} - 128q^{37} - 96q^{38} - 64q^{39} - 32q^{40} - 96q^{41} - 64q^{42} - 32q^{43} - 64q^{45} - 128q^{46} - 96q^{47} - 64q^{48} - 32q^{49} - 96q^{50} - 64q^{51} - 32q^{52} - 64q^{54} - 128q^{55} - 96q^{56} - 64q^{57} - 32q^{58} - 96q^{59} - 64q^{60} - 32q^{61} - 64q^{63} - 128q^{64} - 96q^{65} - 64q^{66} - 32q^{67} - 96q^{68} - 64q^{69} - 32q^{70} - 64q^{72} - 128q^{73} - 96q^{74} - 64q^{75} - 32q^{76} - 96q^{77} - 64q^{78} - 32q^{79} - 64q^{81} - 128q^{82} - 96q^{83} - 64q^{84} - 32q^{85} - 96q^{86} - 64q^{87} - 32q^{88} - 64q^{90} - 128q^{91} - 96q^{92} - 64q^{93} - 32q^{94} - 96q^{95} - 64q^{96} - 32q^{97} - 64q^{99} + O(q^{100}) \)

Decomposition of \(S_{3}^{\mathrm{new}}(2304, [\chi])\) into newform subspaces

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