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Properties

Label 2873.2.bx
Level $2873$
Weight $2$
Character orbit 2873.bx
Rep. character $\chi_{2873}(16,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $6480$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.bx (of order \(78\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2873 \)
Character field: \(\Q(\zeta_{78})\)
Sturm bound: \(546\)

Dimensions

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

Total New Old
Modular forms 6576 6576 0
Cusp forms 6480 6480 0
Eisenstein series 96 96 0

Trace form

\( 6480 q - 48 q^{2} + 216 q^{4} - 64 q^{8} - 316 q^{9} + O(q^{10}) \) \( 6480 q - 48 q^{2} + 216 q^{4} - 64 q^{8} - 316 q^{9} - 38 q^{13} - 54 q^{15} + 204 q^{16} - 22 q^{17} - 28 q^{18} - 20 q^{19} - 8 q^{21} + 452 q^{25} - 82 q^{26} - 64 q^{30} + 84 q^{32} - 32 q^{33} - 27 q^{34} - 76 q^{35} - 330 q^{36} - 106 q^{38} - 24 q^{42} - 36 q^{43} + 58 q^{47} - 300 q^{49} - 24 q^{50} - 63 q^{51} - 284 q^{52} + 80 q^{53} + 50 q^{55} + 366 q^{59} - 244 q^{60} - 568 q^{64} - 362 q^{66} - 110 q^{67} + 29 q^{68} - 136 q^{69} + 316 q^{70} + 368 q^{72} - 342 q^{76} - 40 q^{77} + 202 q^{81} - 12 q^{83} - 76 q^{84} - 158 q^{85} - 156 q^{86} - 122 q^{87} + 20 q^{89} - 80 q^{93} - 294 q^{94} - 120 q^{98} + O(q^{100}) \)

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.