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Properties

Label 2873.2.bv
Level $2873$
Weight $2$
Character orbit 2873.bv
Rep. character $\chi_{2873}(101,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $6528$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.bv (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 6624 6624 0
Cusp forms 6528 6528 0
Eisenstein series 96 96 0

Trace form

\( 6528 q - 46 q^{2} - 322 q^{4} - 52 q^{8} - 318 q^{9} + O(q^{10}) \) \( 6528 q - 46 q^{2} - 322 q^{4} - 52 q^{8} - 318 q^{9} - 44 q^{13} - 46 q^{15} + 226 q^{16} - 29 q^{17} - 52 q^{18} - 72 q^{19} - 52 q^{21} - 580 q^{25} - 56 q^{26} - 28 q^{30} + 30 q^{32} - 40 q^{33} + 39 q^{34} - 24 q^{35} + 184 q^{36} - 154 q^{38} - 88 q^{42} - 48 q^{43} + 78 q^{47} + 218 q^{49} + 20 q^{50} + 79 q^{51} - 96 q^{52} - 86 q^{53} + 74 q^{55} - 414 q^{59} - 156 q^{60} + 476 q^{64} + 22 q^{66} - 382 q^{67} - 54 q^{68} - 180 q^{69} - 450 q^{72} + 230 q^{76} - 96 q^{77} + 172 q^{81} - 52 q^{83} - 16 q^{84} + 4 q^{85} - 52 q^{86} + 70 q^{87} - 60 q^{89} - 112 q^{93} - 142 q^{94} - 58 q^{98} + O(q^{100}) \)

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.