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Properties

Label 2912.2.jf
Level $2912$
Weight $2$
Character orbit 2912.jf
Rep. character $\chi_{2912}(11,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $3552$
Sturm bound $896$

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Defining parameters

Level: \( N \) \(=\) \( 2912 = 2^{5} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2912.jf (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2912 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2912, [\chi])\).

Total New Old
Modular forms 3616 3616 0
Cusp forms 3552 3552 0
Eisenstein series 64 64 0

Trace form

\( 3552 q - 4 q^{2} - 8 q^{3} - 12 q^{4} - 4 q^{5} - 16 q^{6} - 12 q^{7} - 16 q^{8} - 8 q^{9} + O(q^{10}) \) \( 3552 q - 4 q^{2} - 8 q^{3} - 12 q^{4} - 4 q^{5} - 16 q^{6} - 12 q^{7} - 16 q^{8} - 8 q^{9} - 4 q^{11} - 16 q^{13} - 24 q^{14} - 32 q^{15} + 4 q^{16} + 12 q^{18} - 4 q^{19} + 16 q^{20} - 20 q^{21} - 80 q^{22} - 12 q^{23} - 4 q^{24} - 4 q^{26} - 32 q^{27} - 68 q^{28} - 8 q^{29} - 4 q^{32} - 8 q^{33} - 24 q^{34} + 56 q^{35} - 24 q^{36} - 4 q^{37} + 120 q^{38} - 4 q^{39} - 8 q^{40} - 8 q^{41} + 36 q^{42} - 24 q^{43} - 36 q^{44} + 24 q^{45} - 40 q^{46} - 8 q^{47} - 8 q^{48} - 8 q^{50} + 72 q^{51} - 4 q^{52} - 8 q^{53} - 28 q^{54} - 8 q^{55} + 16 q^{56} - 4 q^{58} - 68 q^{59} + 12 q^{60} - 8 q^{61} + 48 q^{62} + 112 q^{63} - 8 q^{65} - 8 q^{66} - 4 q^{67} + 68 q^{68} - 24 q^{69} + 16 q^{70} + 56 q^{71} - 84 q^{72} + 4 q^{74} - 12 q^{75} - 16 q^{76} + 28 q^{77} + 128 q^{78} - 16 q^{79} - 4 q^{80} + 32 q^{82} - 16 q^{83} - 28 q^{84} - 36 q^{85} + 12 q^{86} + 4 q^{87} + 4 q^{89} - 84 q^{91} - 32 q^{92} + 44 q^{93} - 56 q^{94} - 108 q^{96} - 32 q^{97} + 72 q^{98} + 8 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2912, [\chi])\) into newform subspaces

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