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Properties

Label 2873.2.n
Level $2873$
Weight $2$
Character orbit 2873.n
Rep. character $\chi_{2873}(1206,\cdot)$
Character field $\Q(\zeta_{6})$
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.n (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 221 \)
Character field: \(\Q(\zeta_{6})\)
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

\( 440 q + 6 q^{2} + 210 q^{4} + 202 q^{9} + O(q^{10}) \) \( 440 q + 6 q^{2} + 210 q^{4} + 202 q^{9} + 6 q^{15} - 178 q^{16} + q^{17} + 6 q^{19} + 360 q^{25} - 48 q^{30} - 48 q^{32} + 12 q^{33} + 4 q^{35} - 196 q^{36} + 96 q^{38} - 60 q^{42} + 4 q^{43} - 126 q^{49} + 72 q^{50} + 80 q^{51} - 52 q^{53} + 32 q^{55} + 54 q^{59} - 336 q^{64} - 104 q^{66} - 18 q^{67} + 85 q^{68} - 66 q^{69} - 60 q^{72} - 30 q^{76} - 76 q^{77} - 172 q^{81} + 36 q^{84} - 9 q^{85} - 54 q^{87} + 18 q^{89} - 60 q^{93} - 30 q^{94} - 6 q^{98} + O(q^{100}) \)

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

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