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Properties

Label 2624.2.ej
Level $2624$
Weight $2$
Character orbit 2624.ej
Rep. character $\chi_{2624}(11,\cdot)$
Character field $\Q(\zeta_{80})$
Dimension $10688$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2624 = 2^{6} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2624.ej (of order \(80\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2624 \)
Character field: \(\Q(\zeta_{80})\)
Sturm bound: \(672\)

Dimensions

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

Total New Old
Modular forms 10816 10816 0
Cusp forms 10688 10688 0
Eisenstein series 128 128 0

Trace form

\( 10688 q - 32 q^{2} - 32 q^{3} - 40 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} + O(q^{10}) \) \( 10688 q - 32 q^{2} - 32 q^{3} - 40 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 24 q^{16} - 32 q^{17} - 24 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 16 q^{22} - 40 q^{23} - 32 q^{24} - 40 q^{25} - 32 q^{26} - 80 q^{27} - 32 q^{28} - 32 q^{29} - 80 q^{30} - 80 q^{31} - 32 q^{32} - 8 q^{34} - 32 q^{35} - 56 q^{36} - 24 q^{37} - 72 q^{38} - 32 q^{39} + 80 q^{40} - 32 q^{41} - 112 q^{42} + 96 q^{43} - 32 q^{44} - 40 q^{45} - 32 q^{46} - 32 q^{47} - 112 q^{48} - 40 q^{49} - 32 q^{50} - 24 q^{51} - 16 q^{52} - 32 q^{53} - 32 q^{54} + 32 q^{55} - 32 q^{56} - 24 q^{57} + 24 q^{58} - 24 q^{59} + 176 q^{60} - 32 q^{61} - 72 q^{62} + 56 q^{63} - 88 q^{64} - 64 q^{65} - 40 q^{66} - 32 q^{67} - 32 q^{68} - 128 q^{69} + 448 q^{70} - 32 q^{71} + 320 q^{72} - 32 q^{73} - 120 q^{74} + 72 q^{75} - 216 q^{76} - 32 q^{77} - 120 q^{78} - 32 q^{79} + 72 q^{80} - 104 q^{82} - 64 q^{83} + 80 q^{84} + 8 q^{85} - 120 q^{86} - 32 q^{87} - 312 q^{88} - 32 q^{89} - 672 q^{90} + 64 q^{91} - 24 q^{92} - 152 q^{93} + 176 q^{94} - 112 q^{95} - 112 q^{96} + 216 q^{98} - 104 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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