Properties

Label 2592.2.cl
Level $2592$
Weight $2$
Character orbit 2592.cl
Rep. character $\chi_{2592}(13,\cdot)$
Character field $\Q(\zeta_{216})$
Dimension $30960$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2592 = 2^{5} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2592.cl (of order \(216\) and degree \(72\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2592 \)
Character field: \(\Q(\zeta_{216})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2592, [\chi])\).

Total New Old
Modular forms 31248 31248 0
Cusp forms 30960 30960 0
Eisenstein series 288 288 0

Trace form

\( 30960 q - 72 q^{2} - 72 q^{3} - 72 q^{4} - 72 q^{5} - 72 q^{6} - 72 q^{7} - 72 q^{8} - 72 q^{9} + O(q^{10}) \) \( 30960 q - 72 q^{2} - 72 q^{3} - 72 q^{4} - 72 q^{5} - 72 q^{6} - 72 q^{7} - 72 q^{8} - 72 q^{9} - 72 q^{10} - 72 q^{11} - 72 q^{12} - 72 q^{13} - 72 q^{14} - 72 q^{16} - 72 q^{18} - 72 q^{19} - 72 q^{20} - 72 q^{21} - 72 q^{22} - 72 q^{23} - 72 q^{24} - 72 q^{25} - 36 q^{26} - 72 q^{27} - 36 q^{28} - 72 q^{29} - 72 q^{30} - 144 q^{31} - 72 q^{32} - 144 q^{33} - 72 q^{34} - 72 q^{35} - 72 q^{36} - 72 q^{37} - 72 q^{38} - 72 q^{39} - 72 q^{40} - 72 q^{41} + 108 q^{42} - 72 q^{43} - 72 q^{44} - 72 q^{45} - 72 q^{46} - 72 q^{48} - 540 q^{50} - 72 q^{51} - 72 q^{52} - 36 q^{53} - 72 q^{54} - 36 q^{55} - 72 q^{56} - 72 q^{57} - 72 q^{58} - 72 q^{59} - 72 q^{60} - 72 q^{61} - 72 q^{62} - 144 q^{63} - 72 q^{64} - 144 q^{65} - 360 q^{66} - 72 q^{67} - 72 q^{68} - 72 q^{69} - 72 q^{70} - 72 q^{71} - 72 q^{72} - 72 q^{73} - 72 q^{74} - 72 q^{75} - 72 q^{76} - 72 q^{77} - 72 q^{78} - 144 q^{80} - 144 q^{82} - 72 q^{83} - 72 q^{84} - 72 q^{85} - 72 q^{86} - 72 q^{87} - 72 q^{88} - 72 q^{89} - 72 q^{90} - 72 q^{91} - 72 q^{92} - 72 q^{93} - 72 q^{94} - 144 q^{95} - 72 q^{96} - 144 q^{97} - 72 q^{98} - 72 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2592, [\chi])\) into newform subspaces

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