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Properties

Label 2624.2.cd
Level $2624$
Weight $2$
Character orbit 2624.cd
Rep. character $\chi_{2624}(173,\cdot)$
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.cd (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

\( 2672 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 8 q^{7} + O(q^{10}) \) \( 2672 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 8 q^{7} - 16 q^{10} - 8 q^{11} - 40 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{16} - 16 q^{17} - 16 q^{18} - 8 q^{19} + 24 q^{22} - 16 q^{23} - 8 q^{24} - 16 q^{25} - 8 q^{26} + 40 q^{27} - 48 q^{28} - 8 q^{29} - 72 q^{30} + 16 q^{34} - 56 q^{35} - 16 q^{37} + 32 q^{38} + 96 q^{39} - 16 q^{40} - 8 q^{41} - 16 q^{42} - 8 q^{44} - 16 q^{45} - 16 q^{47} - 8 q^{48} - 16 q^{51} - 56 q^{52} - 8 q^{53} - 8 q^{54} - 72 q^{55} - 88 q^{56} - 16 q^{57} + 64 q^{58} - 16 q^{59} + 24 q^{60} - 16 q^{63} - 16 q^{64} - 16 q^{65} - 48 q^{66} - 8 q^{67} + 8 q^{68} - 8 q^{69} - 8 q^{70} - 8 q^{71} - 160 q^{72} + 96 q^{75} - 72 q^{76} - 112 q^{78} - 16 q^{79} - 16 q^{81} + 72 q^{82} - 16 q^{83} - 48 q^{85} - 16 q^{86} + 160 q^{88} - 8 q^{89} + 96 q^{90} - 16 q^{92} + 16 q^{93} + 24 q^{94} - 88 q^{96} - 16 q^{98} - 32 q^{99} + O(q^{100}) \)

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.