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Properties

Label 2873.2.p
Level $2873$
Weight $2$
Character orbit 2873.p
Rep. character $\chi_{2873}(168,\cdot)$
Character field $\Q(\zeta_{8})$
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.p (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 221 \)
Character field: \(\Q(\zeta_{8})\)
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

\( 888 q + 8 q^{3} + 8 q^{9} + O(q^{10}) \) \( 888 q + 8 q^{3} + 8 q^{9} - 16 q^{10} - 16 q^{12} - 56 q^{14} - 776 q^{16} + 24 q^{17} + 72 q^{22} - 40 q^{25} - 88 q^{27} + 40 q^{29} + 80 q^{35} - 40 q^{36} - 72 q^{40} + 120 q^{42} + 40 q^{43} - 40 q^{48} - 8 q^{49} - 8 q^{51} + 16 q^{53} - 64 q^{56} + 56 q^{61} - 32 q^{62} + 16 q^{66} + 136 q^{68} - 160 q^{69} + 64 q^{75} - 8 q^{77} - 40 q^{79} - 104 q^{82} + 48 q^{87} + 40 q^{88} + 320 q^{90} - 184 q^{92} - 40 q^{94} + 72 q^{95} + O(q^{100}) \)

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

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