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Properties

Label 2873.2.cn
Level $2873$
Weight $2$
Character orbit 2873.cn
Rep. character $\chi_{2873}(9,\cdot)$
Character field $\Q(\zeta_{312})$
Dimension $26112$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.cn (of order \(312\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2873 \)
Character field: \(\Q(\zeta_{312})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 26496 26496 0
Cusp forms 26112 26112 0
Eisenstein series 384 384 0

Trace form

\( 26112 q - 100 q^{2} - 100 q^{3} - 88 q^{5} - 100 q^{6} - 100 q^{7} - 72 q^{8} - 100 q^{9} + O(q^{10}) \) \( 26112 q - 100 q^{2} - 100 q^{3} - 88 q^{5} - 100 q^{6} - 100 q^{7} - 72 q^{8} - 100 q^{9} - 108 q^{10} - 100 q^{11} - 64 q^{12} - 56 q^{14} - 108 q^{15} - 1288 q^{16} - 100 q^{17} - 208 q^{18} - 48 q^{19} - 108 q^{20} - 72 q^{22} - 44 q^{23} - 68 q^{24} - 80 q^{25} - 96 q^{26} - 88 q^{27} - 44 q^{28} - 96 q^{29} + 88 q^{31} - 332 q^{32} - 224 q^{33} - 152 q^{34} - 136 q^{35} - 60 q^{36} - 100 q^{37} - 140 q^{39} - 56 q^{40} - 104 q^{41} - 84 q^{42} - 116 q^{43} + 72 q^{44} - 152 q^{45} - 84 q^{46} - 192 q^{48} - 100 q^{49} - 200 q^{50} - 120 q^{51} - 192 q^{52} - 236 q^{53} + 512 q^{54} - 96 q^{56} - 8 q^{57} + 44 q^{58} - 68 q^{59} - 208 q^{60} - 100 q^{61} - 404 q^{62} - 64 q^{63} - 204 q^{65} - 176 q^{66} - 232 q^{67} - 312 q^{68} - 80 q^{69} - 976 q^{70} - 36 q^{71} - 128 q^{73} - 44 q^{74} - 492 q^{75} + 516 q^{76} - 120 q^{77} - 100 q^{78} - 120 q^{79} - 28 q^{80} - 48 q^{82} - 88 q^{83} - 136 q^{84} - 176 q^{85} - 304 q^{86} - 12 q^{87} - 340 q^{88} - 32 q^{90} - 140 q^{91} - 376 q^{92} - 12 q^{93} - 76 q^{94} - 548 q^{95} - 868 q^{96} - 124 q^{97} - 168 q^{99} + O(q^{100}) \)

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.