Properties

Label 2873.2.cc
Level $2873$
Weight $2$
Character orbit 2873.cc
Rep. character $\chi_{2873}(55,\cdot)$
Character field $\Q(\zeta_{156})$
Dimension $12960$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.cc (of order \(156\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2873 \)
Character field: \(\Q(\zeta_{156})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 13152 13152 0
Cusp forms 12960 12960 0
Eisenstein series 192 192 0

Trace form

\( 12960 q - 50 q^{3} - 632 q^{4} - 36 q^{5} - 42 q^{6} - 50 q^{7} + O(q^{10}) \) \( 12960 q - 50 q^{3} - 632 q^{4} - 36 q^{5} - 42 q^{6} - 50 q^{7} - 48 q^{10} - 44 q^{11} - 48 q^{12} - 108 q^{13} - 52 q^{14} + 408 q^{16} - 58 q^{17} - 128 q^{18} - 32 q^{20} - 120 q^{21} - 4 q^{22} - 22 q^{23} - 52 q^{24} - 32 q^{27} - 68 q^{28} - 46 q^{29} - 68 q^{30} + 48 q^{31} - 88 q^{33} - 36 q^{34} - 132 q^{35} - 66 q^{37} - 264 q^{38} - 22 q^{39} - 290 q^{40} - 42 q^{41} - 112 q^{44} - 184 q^{45} - 72 q^{46} + 132 q^{47} - 48 q^{48} - 88 q^{50} + 4 q^{51} - 80 q^{52} - 326 q^{54} - 336 q^{55} - 38 q^{56} - 46 q^{57} + 48 q^{58} - 70 q^{61} + 98 q^{62} - 54 q^{63} + 864 q^{64} - 40 q^{65} - 308 q^{67} + 32 q^{68} - 120 q^{69} - 82 q^{71} + 544 q^{72} - 148 q^{73} + 190 q^{74} + 104 q^{75} - 154 q^{78} - 20 q^{79} - 56 q^{80} - 568 q^{81} - 30 q^{82} - 172 q^{84} - 78 q^{85} + 56 q^{86} - 48 q^{88} - 24 q^{89} - 96 q^{90} - 114 q^{91} + 12 q^{92} - 374 q^{95} + 254 q^{96} - 92 q^{98} - 140 q^{99} + O(q^{100}) \)

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

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