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Properties

Label 2873.2.x
Level $2873$
Weight $2$
Character orbit 2873.x
Rep. character $\chi_{2873}(191,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $888$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.x (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 221 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 1144 968 176
Cusp forms 1032 888 144
Eisenstein series 112 80 32

Trace form

\( 888 q + 2 q^{3} + 432 q^{4} + 16 q^{5} + 10 q^{6} + 2 q^{7} + O(q^{10}) \) \( 888 q + 2 q^{3} + 432 q^{4} + 16 q^{5} + 10 q^{6} + 2 q^{7} + 4 q^{10} + 8 q^{11} + 4 q^{12} - 32 q^{14} - 400 q^{16} - 14 q^{17} - 24 q^{18} + 20 q^{20} - 16 q^{21} + 14 q^{22} + 4 q^{23} + 20 q^{27} - 16 q^{28} + 14 q^{29} - 60 q^{30} - 4 q^{31} + 16 q^{33} + 16 q^{34} + 20 q^{35} - 14 q^{37} - 56 q^{38} - 52 q^{40} + 10 q^{41} - 8 q^{44} - 2 q^{45} + 32 q^{46} - 24 q^{47} + 76 q^{48} + 16 q^{50} + 56 q^{51} + 38 q^{54} - 4 q^{55} - 10 q^{56} + 84 q^{57} - 4 q^{58} - 26 q^{61} + 28 q^{62} - 2 q^{63} - 568 q^{64} + 4 q^{67} + 74 q^{68} - 16 q^{69} - 30 q^{71} - 28 q^{72} - 96 q^{73} + 36 q^{74} - 2 q^{75} + 16 q^{79} - 30 q^{80} + 328 q^{81} - 2 q^{82} - 68 q^{84} - 26 q^{85} + 160 q^{86} - 76 q^{88} + 28 q^{89} - 236 q^{90} - 136 q^{92} + 16 q^{95} - 32 q^{96} + 52 q^{97} + 12 q^{98} - 36 q^{99} + O(q^{100}) \)

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

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