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Properties

Label 2873.2.be
Level $2873$
Weight $2$
Character orbit 2873.be
Rep. character $\chi_{2873}(485,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $1776$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.be (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 2288 1936 352
Cusp forms 2064 1776 288
Eisenstein series 224 160 64

Trace form

\( 1776 q + 12 q^{2} + 4 q^{3} + 12 q^{6} + 12 q^{7} + 4 q^{9} + O(q^{10}) \) \( 1776 q + 12 q^{2} + 4 q^{3} + 12 q^{6} + 12 q^{7} + 4 q^{9} - 8 q^{10} + 12 q^{11} + 40 q^{12} - 16 q^{14} + 36 q^{15} + 800 q^{16} - 12 q^{17} + 12 q^{19} + 12 q^{22} + 12 q^{24} + 64 q^{25} - 176 q^{27} - 60 q^{28} + 20 q^{29} - 56 q^{35} + 28 q^{36} + 12 q^{37} - 48 q^{40} - 60 q^{41} - 12 q^{42} + 20 q^{43} - 108 q^{45} - 36 q^{46} + 160 q^{48} + 20 q^{49} + 24 q^{50} - 16 q^{51} - 112 q^{53} + 48 q^{54} - 32 q^{56} - 84 q^{58} + 12 q^{59} - 44 q^{61} + 56 q^{62} + 48 q^{63} - 136 q^{66} + 120 q^{67} - 232 q^{68} + 16 q^{69} + 12 q^{71} - 72 q^{74} + 32 q^{75} + 84 q^{76} - 112 q^{77} - 176 q^{79} - 144 q^{80} - 52 q^{82} + 120 q^{84} + 132 q^{85} - 36 q^{87} - 28 q^{88} + 448 q^{90} + 64 q^{92} - 84 q^{93} - 20 q^{94} + 36 q^{95} - 60 q^{97} + O(q^{100}) \)

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

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