↑

Properties

Label 2873.2.bf
Level $2873$
Weight $2$
Character orbit 2873.bf
Rep. character $\chi_{2873}(315,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $1760$
Sturm bound $546$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.bf (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 221 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 2304 1920 384
Cusp forms 2080 1760 320
Eisenstein series 224 160 64

Trace form

\( 1760 q + 4 q^{2} + 4 q^{3} + 16 q^{5} + 4 q^{6} + 4 q^{7} + 32 q^{8} + 4 q^{9} + O(q^{10}) \) \( 1760 q + 4 q^{2} + 4 q^{3} + 16 q^{5} + 4 q^{6} + 4 q^{7} + 32 q^{8} + 4 q^{9} - 4 q^{10} + 4 q^{11} + 40 q^{12} - 16 q^{14} - 4 q^{15} + 744 q^{16} + 20 q^{17} + 4 q^{19} - 4 q^{20} - 36 q^{22} + 8 q^{23} + 36 q^{24} + 24 q^{25} - 176 q^{27} + 60 q^{28} + 8 q^{29} - 16 q^{31} + 32 q^{32} - 16 q^{33} - 48 q^{34} + 72 q^{35} + 44 q^{36} + 4 q^{37} - 48 q^{40} - 28 q^{42} - 12 q^{43} + 176 q^{44} - 48 q^{45} + 20 q^{46} + 56 q^{48} - 12 q^{49} + 8 q^{50} - 16 q^{51} - 72 q^{53} - 8 q^{54} + 8 q^{56} + 96 q^{57} - 60 q^{58} + 36 q^{59} - 104 q^{60} - 44 q^{61} - 88 q^{62} + 40 q^{63} - 168 q^{66} - 24 q^{67} - 140 q^{68} + 128 q^{69} + 64 q^{70} + 68 q^{71} - 24 q^{73} - 92 q^{74} - 24 q^{75} - 4 q^{76} + 80 q^{77} - 176 q^{79} + 24 q^{80} + 56 q^{82} + 16 q^{83} + 72 q^{84} - 72 q^{85} - 96 q^{86} + 92 q^{87} - 28 q^{88} - 504 q^{90} - 160 q^{92} + 92 q^{93} + 28 q^{94} - 28 q^{95} - 88 q^{96} - 20 q^{97} + 40 q^{99} + O(q^{100}) \)

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

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