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Properties

Label 2873.2.f
Level $2873$
Weight $2$
Character orbit 2873.f
Rep. character $\chi_{2873}(846,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $444$
Sturm bound $546$

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Defining parameters

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

Dimensions

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

Total New Old
Modular forms 572 488 84
Cusp forms 516 444 72
Eisenstein series 56 44 12

Trace form

\( 444 q + 4 q^{3} - 420 q^{4} - 4 q^{5} - 4 q^{6} + 4 q^{7} + O(q^{10}) \) \( 444 q + 4 q^{3} - 420 q^{4} - 4 q^{5} - 4 q^{6} + 4 q^{7} + 8 q^{10} - 8 q^{11} + 8 q^{12} - 4 q^{14} + 388 q^{16} - 4 q^{17} - 12 q^{18} + 16 q^{20} - 8 q^{21} + 28 q^{22} + 8 q^{23} - 24 q^{24} - 8 q^{27} + 16 q^{28} + 4 q^{29} + 72 q^{30} + 16 q^{31} + 32 q^{33} - 4 q^{34} - 8 q^{35} - 28 q^{37} + 8 q^{38} - 68 q^{40} + 8 q^{41} + 56 q^{44} + 8 q^{45} - 56 q^{46} + 48 q^{47} - 52 q^{48} - 28 q^{50} - 20 q^{51} - 68 q^{54} - 32 q^{55} - 20 q^{56} - 12 q^{57} + 16 q^{58} - 28 q^{61} + 32 q^{62} - 16 q^{63} - 260 q^{64} + 8 q^{67} - 104 q^{68} + 64 q^{69} - 12 q^{71} + 76 q^{72} + 12 q^{73} + 60 q^{74} - 76 q^{75} - 28 q^{79} - 12 q^{80} - 292 q^{81} + 44 q^{82} - 40 q^{84} + 20 q^{85} - 40 q^{86} - 80 q^{88} + 56 q^{89} - 136 q^{90} + 4 q^{92} + 32 q^{95} + 92 q^{96} - 40 q^{97} - 84 q^{98} - 24 q^{99} + O(q^{100}) \)

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

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