Properties

Label 2624.2.co
Level $2624$
Weight $2$
Character orbit 2624.co
Rep. character $\chi_{2624}(3,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $2672$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2624 = 2^{6} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2624.co (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2624 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2624, [\chi])\).

Total New Old
Modular forms 2704 2704 0
Cusp forms 2672 2672 0
Eisenstein series 32 32 0

Trace form

\( 2672 q - 8 q^{2} - 8 q^{3} - 8 q^{5} + 16 q^{6} - 16 q^{7} + 40 q^{8} - 8 q^{9} + O(q^{10}) \) \( 2672 q - 8 q^{2} - 8 q^{3} - 8 q^{5} + 16 q^{6} - 16 q^{7} + 40 q^{8} - 8 q^{9} + 8 q^{10} - 8 q^{11} + 16 q^{12} - 8 q^{13} - 24 q^{14} - 8 q^{15} - 16 q^{16} - 8 q^{17} - 16 q^{18} - 8 q^{19} - 8 q^{20} - 56 q^{21} - 40 q^{22} - 8 q^{24} - 8 q^{26} + 40 q^{27} + 8 q^{28} - 8 q^{29} - 24 q^{30} - 8 q^{32} - 64 q^{34} - 48 q^{35} - 32 q^{36} - 16 q^{37} + 32 q^{38} - 8 q^{39} - 80 q^{40} - 8 q^{41} - 64 q^{42} - 8 q^{43} - 8 q^{44} - 88 q^{46} - 8 q^{47} - 8 q^{48} + 2560 q^{49} - 8 q^{50} - 16 q^{51} - 56 q^{52} - 8 q^{53} - 72 q^{54} - 16 q^{55} - 8 q^{56} - 16 q^{57} - 8 q^{58} - 16 q^{59} - 8 q^{60} - 8 q^{61} + 80 q^{62} - 56 q^{63} - 48 q^{64} - 16 q^{65} + 40 q^{67} - 48 q^{68} - 8 q^{69} - 64 q^{70} - 16 q^{71} - 8 q^{73} - 208 q^{74} - 56 q^{75} - 72 q^{76} - 8 q^{77} + 80 q^{78} - 8 q^{79} + 48 q^{80} - 8 q^{82} - 16 q^{83} - 120 q^{84} + 32 q^{85} + 80 q^{86} - 8 q^{87} - 216 q^{88} - 16 q^{89} - 8 q^{90} - 24 q^{91} - 16 q^{92} + 16 q^{93} - 8 q^{94} - 64 q^{95} - 8 q^{96} - 56 q^{98} - 8 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2624, [\chi])\) into newform subspaces

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