Properties

Label 3456.2.cr
Level $3456$
Weight $2$
Character orbit 3456.cr
Rep. character $\chi_{3456}(13,\cdot)$
Character field $\Q(\zeta_{288})$
Dimension $55104$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 3456 = 2^{7} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3456.cr (of order \(288\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3456 \)
Character field: \(\Q(\zeta_{288})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3456, [\chi])\).

Total New Old
Modular forms 55488 55488 0
Cusp forms 55104 55104 0
Eisenstein series 384 384 0

Trace form

\( 55104 q - 96 q^{2} - 96 q^{3} - 96 q^{4} - 96 q^{5} - 96 q^{6} - 96 q^{7} - 48 q^{8} - 96 q^{9} + O(q^{10}) \) \( 55104 q - 96 q^{2} - 96 q^{3} - 96 q^{4} - 96 q^{5} - 96 q^{6} - 96 q^{7} - 48 q^{8} - 96 q^{9} - 48 q^{10} - 96 q^{11} - 96 q^{12} - 96 q^{13} - 96 q^{14} - 96 q^{15} - 96 q^{16} - 48 q^{17} - 96 q^{18} - 48 q^{19} - 96 q^{20} - 96 q^{21} - 96 q^{22} - 96 q^{23} - 96 q^{24} - 96 q^{25} - 192 q^{26} - 96 q^{27} - 192 q^{28} - 96 q^{29} - 96 q^{30} - 96 q^{31} - 96 q^{32} - 96 q^{33} - 96 q^{34} - 48 q^{35} - 96 q^{36} - 48 q^{37} - 96 q^{38} - 96 q^{39} - 96 q^{40} - 96 q^{41} - 96 q^{42} - 96 q^{43} - 48 q^{44} - 96 q^{45} - 48 q^{46} - 96 q^{47} - 96 q^{48} - 96 q^{49} - 96 q^{50} - 96 q^{51} - 96 q^{52} - 192 q^{53} - 96 q^{54} - 192 q^{55} - 96 q^{56} - 96 q^{57} - 528 q^{58} - 96 q^{59} - 96 q^{60} - 96 q^{61} - 48 q^{62} - 48 q^{64} - 96 q^{66} - 96 q^{67} - 96 q^{68} - 96 q^{69} - 96 q^{70} - 48 q^{71} - 96 q^{72} - 48 q^{73} - 96 q^{74} - 96 q^{75} - 96 q^{76} - 96 q^{77} - 96 q^{78} - 96 q^{79} - 192 q^{80} - 96 q^{81} - 192 q^{82} - 96 q^{83} - 96 q^{84} - 96 q^{85} - 96 q^{86} - 96 q^{87} - 96 q^{88} - 48 q^{89} - 96 q^{90} - 48 q^{91} - 96 q^{92} - 96 q^{93} - 96 q^{94} - 96 q^{95} - 96 q^{96} - 96 q^{97} - 48 q^{98} - 96 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3456, [\chi])\) into newform subspaces

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