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Properties

Label 2873.2.bb
Level $2873$
Weight $2$
Character orbit 2873.bb
Rep. character $\chi_{2873}(606,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $1768$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.bb (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 221 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 2296 1928 368
Cusp forms 2072 1768 304
Eisenstein series 224 160 64

Trace form

\( 1768 q + 8 q^{2} + 16 q^{3} + 8 q^{5} + 8 q^{6} + 8 q^{7} - 8 q^{8} + 16 q^{9} + O(q^{10}) \) \( 1768 q + 8 q^{2} + 16 q^{3} + 8 q^{5} + 8 q^{6} + 8 q^{7} - 8 q^{8} + 16 q^{9} + 8 q^{11} - 112 q^{14} - 8 q^{15} - 32 q^{17} - 16 q^{18} + 8 q^{19} - 8 q^{20} + 16 q^{21} + 48 q^{22} - 24 q^{24} - 80 q^{27} + 88 q^{28} - 24 q^{29} + 40 q^{31} + 24 q^{32} + 48 q^{33} - 24 q^{34} + 32 q^{35} + 8 q^{37} + 80 q^{38} - 80 q^{40} + 56 q^{41} + 16 q^{42} + 64 q^{43} - 24 q^{44} - 104 q^{45} - 24 q^{46} + 256 q^{48} - 32 q^{49} - 56 q^{53} + 80 q^{54} + 80 q^{55} - 32 q^{57} + 40 q^{58} - 56 q^{59} - 48 q^{60} - 80 q^{61} - 96 q^{62} + 80 q^{63} + 96 q^{64} + 128 q^{66} - 64 q^{67} + 16 q^{68} - 40 q^{70} - 56 q^{71} - 136 q^{72} - 32 q^{73} - 152 q^{74} + 112 q^{75} - 104 q^{76} - 16 q^{79} - 64 q^{80} + 16 q^{81} + 8 q^{83} + 160 q^{84} + 112 q^{85} + 16 q^{86} - 80 q^{87} - 80 q^{89} - 56 q^{90} - 80 q^{92} - 112 q^{93} + 16 q^{94} - 64 q^{95} - 16 q^{96} - 40 q^{97} - 64 q^{99} + O(q^{100}) \)

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

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