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Properties

Label 2873.2.bu
Level $2873$
Weight $2$
Character orbit 2873.bu
Rep. character $\chi_{2873}(157,\cdot)$
Character field $\Q(\zeta_{52})$
Dimension $6480$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.bu (of order \(52\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2873 \)
Character field: \(\Q(\zeta_{52})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 6576 6576 0
Cusp forms 6480 6480 0
Eisenstein series 96 96 0

Trace form

\( 6480 q - 22 q^{3} + 488 q^{4} - 30 q^{5} - 30 q^{6} - 22 q^{7} + O(q^{10}) \) \( 6480 q - 22 q^{3} + 488 q^{4} - 30 q^{5} - 30 q^{6} - 22 q^{7} - 18 q^{10} - 34 q^{11} - 18 q^{12} - 48 q^{13} - 14 q^{14} - 576 q^{16} - 38 q^{17} - 64 q^{18} - 10 q^{20} - 60 q^{21} - 32 q^{22} - 44 q^{23} - 50 q^{24} - 34 q^{27} - 10 q^{28} - 14 q^{29} - 76 q^{30} - 114 q^{31} - 20 q^{33} - 30 q^{34} - 12 q^{35} - 54 q^{37} + 60 q^{38} - 26 q^{39} + 164 q^{40} - 18 q^{41} + 82 q^{44} + 112 q^{45} - 30 q^{46} - 264 q^{47} - 6 q^{48} - 80 q^{50} - 46 q^{51} - 64 q^{52} - 250 q^{54} + 144 q^{55} - 70 q^{56} + 40 q^{57} - 114 q^{58} - 62 q^{61} - 116 q^{62} - 42 q^{63} + 456 q^{64} - 26 q^{65} + 164 q^{67} - 140 q^{68} + 12 q^{69} - 38 q^{71} - 652 q^{72} - 14 q^{73} - 172 q^{74} - 260 q^{75} - 26 q^{78} - 46 q^{79} - 64 q^{80} + 448 q^{81} - 6 q^{82} - 92 q^{84} - 6 q^{85} - 92 q^{86} - 186 q^{88} - 48 q^{89} - 66 q^{90} - 18 q^{91} - 78 q^{92} + 32 q^{95} - 272 q^{96} - 66 q^{97} - 136 q^{98} - 76 q^{99} + O(q^{100}) \)

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.