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Properties

Label 2873.2.cs
Level $2873$
Weight $2$
Character orbit 2873.cs
Rep. character $\chi_{2873}(6,\cdot)$
Character field $\Q(\zeta_{624})$
Dimension $52032$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.cs (of order \(624\) and degree \(192\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2873 \)
Character field: \(\Q(\zeta_{624})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 52800 52800 0
Cusp forms 52032 52032 0
Eisenstein series 768 768 0

Trace form

\( 52032 q - 192 q^{2} - 200 q^{3} - 184 q^{4} - 192 q^{5} - 192 q^{6} - 192 q^{7} - 208 q^{8} - 200 q^{9} + O(q^{10}) \) \( 52032 q - 192 q^{2} - 200 q^{3} - 184 q^{4} - 192 q^{5} - 192 q^{6} - 192 q^{7} - 208 q^{8} - 200 q^{9} - 184 q^{10} - 192 q^{11} - 208 q^{12} - 184 q^{13} - 176 q^{14} - 160 q^{15} - 184 q^{17} - 352 q^{18} - 192 q^{19} - 168 q^{20} - 208 q^{21} - 240 q^{22} - 288 q^{23} - 224 q^{24} - 208 q^{25} - 192 q^{26} - 176 q^{27} - 208 q^{28} - 184 q^{29} - 184 q^{30} - 224 q^{31} - 160 q^{32} - 128 q^{34} - 400 q^{35} - 184 q^{36} - 192 q^{37} - 128 q^{38} - 192 q^{39} - 176 q^{40} - 184 q^{41} - 296 q^{42} - 216 q^{43} - 352 q^{44} - 200 q^{45} - 160 q^{46} + 264 q^{47} + 160 q^{48} - 184 q^{49} - 208 q^{51} - 384 q^{52} - 512 q^{53} + 936 q^{54} - 200 q^{55} - 184 q^{56} - 272 q^{57} - 96 q^{58} - 224 q^{59} - 168 q^{60} - 200 q^{61} - 136 q^{62} - 192 q^{63} - 208 q^{64} - 272 q^{65} - 384 q^{66} + 128 q^{67} + 320 q^{68} - 368 q^{69} + 560 q^{70} - 256 q^{71} + 952 q^{72} - 112 q^{73} - 504 q^{74} - 968 q^{75} - 1360 q^{76} - 208 q^{77} - 128 q^{78} - 240 q^{79} - 184 q^{80} - 56 q^{81} - 184 q^{82} - 192 q^{83} - 32 q^{84} - 400 q^{85} - 384 q^{86} - 248 q^{87} - 184 q^{88} - 432 q^{89} - 168 q^{90} - 312 q^{91} - 176 q^{92} - 184 q^{93} - 152 q^{94} - 152 q^{95} - 408 q^{96} - 240 q^{97} - 272 q^{98} - 248 q^{99} + O(q^{100}) \)

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.