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Properties

Label 2873.2.k
Level $2873$
Weight $2$
Character orbit 2873.k
Rep. character $\chi_{2873}(506,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $440$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.k (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 221 \)
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 576 480 96
Cusp forms 520 440 80
Eisenstein series 56 40 16

Trace form

\( 440 q + 4 q^{3} + 424 q^{4} + O(q^{10}) \) \( 440 q + 4 q^{3} + 424 q^{4} + 20 q^{10} + 24 q^{12} + 12 q^{14} + 392 q^{16} + 8 q^{17} - 4 q^{22} - 8 q^{27} - 8 q^{29} - 88 q^{30} - 72 q^{35} - 40 q^{38} + 48 q^{40} - 92 q^{48} + 44 q^{51} + 48 q^{55} + 28 q^{56} - 8 q^{61} + 16 q^{62} + 280 q^{64} - 140 q^{68} + 16 q^{69} + 144 q^{74} + 20 q^{75} - 28 q^{79} - 288 q^{81} - 96 q^{82} + 48 q^{88} + 60 q^{90} - 92 q^{92} - 56 q^{95} + O(q^{100}) \)

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

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