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Properties

Label 2873.2.bj
Level $2873$
Weight $2$
Character orbit 2873.bj
Rep. character $\chi_{2873}(220,\cdot)$
Character field $\Q(\zeta_{26})$
Dimension $3264$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.bj (of order \(26\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2873 \)
Character field: \(\Q(\zeta_{26})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 3312 3312 0
Cusp forms 3264 3264 0
Eisenstein series 48 48 0

Trace form

\( 3264 q - 26 q^{2} + 250 q^{4} - 26 q^{8} + 258 q^{9} + O(q^{10}) \) \( 3264 q - 26 q^{2} + 250 q^{4} - 26 q^{8} + 258 q^{9} - 22 q^{13} - 26 q^{15} - 286 q^{16} - 19 q^{17} - 26 q^{18} - 26 q^{21} - 290 q^{25} - 46 q^{26} - 14 q^{30} - 156 q^{32} - 26 q^{33} - 78 q^{34} - 18 q^{35} - 334 q^{36} + 124 q^{38} - 2 q^{42} - 42 q^{43} - 156 q^{47} - 290 q^{49} - 26 q^{50} - 100 q^{51} + 96 q^{52} + 44 q^{53} - 68 q^{55} - 234 q^{59} + 78 q^{60} + 202 q^{64} - 40 q^{66} + 286 q^{67} + 120 q^{68} - 36 q^{69} + 312 q^{72} + 286 q^{76} - 18 q^{77} - 346 q^{81} - 26 q^{83} - 26 q^{84} - 52 q^{85} - 26 q^{86} - 118 q^{87} - 26 q^{93} - 2 q^{94} - 26 q^{98} + O(q^{100}) \)

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.