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Properties

Label 2873.2.q
Level $2873$
Weight $2$
Character orbit 2873.q
Rep. character $\chi_{2873}(508,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $884$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.q (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 17 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(546\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2873, [\chi])\).

Total New Old
Modular forms 1152 972 180
Cusp forms 1040 884 156
Eisenstein series 112 88 24

Trace form

\( 884 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} + 4 q^{7} - 4 q^{8} + 16 q^{9} + O(q^{10}) \) \( 884 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} + 4 q^{7} - 4 q^{8} + 16 q^{9} - 4 q^{10} + 4 q^{11} - 20 q^{12} - 52 q^{14} - 16 q^{15} - 732 q^{16} - 8 q^{17} + 36 q^{18} + 16 q^{19} - 4 q^{20} - 12 q^{22} + 20 q^{23} - 12 q^{24} - 4 q^{25} - 80 q^{27} + 28 q^{28} + 12 q^{29} + 28 q^{31} - 4 q^{32} - 32 q^{33} - 44 q^{34} - 40 q^{35} - 8 q^{36} + 8 q^{37} - 80 q^{40} - 4 q^{41} + 80 q^{42} - 32 q^{43} + 20 q^{44} + 12 q^{45} + 60 q^{46} - 236 q^{48} + 32 q^{49} + 36 q^{50} + 20 q^{51} - 76 q^{53} - 24 q^{54} - 4 q^{56} + 24 q^{57} - 24 q^{58} + 72 q^{59} + 120 q^{60} + 56 q^{61} - 44 q^{62} - 76 q^{63} + 56 q^{66} - 32 q^{67} + 92 q^{68} + 32 q^{69} - 48 q^{70} - 36 q^{71} + 20 q^{73} - 20 q^{74} - 60 q^{75} - 96 q^{76} + 96 q^{77} - 44 q^{79} - 48 q^{80} + 116 q^{82} + 24 q^{83} - 112 q^{84} + 4 q^{85} - 40 q^{86} + 80 q^{87} + 52 q^{88} - 212 q^{90} + 12 q^{92} + 40 q^{93} + 32 q^{94} - 64 q^{95} - 196 q^{96} - 16 q^{97} - 20 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2873, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2873, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2873, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(221, [\chi])\)\(^{\oplus 2}\)