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Properties

Label 2873.2.bi
Level $2873$
Weight $2$
Character orbit 2873.bi
Rep. character $\chi_{2873}(103,\cdot)$
Character field $\Q(\zeta_{26})$
Dimension $2928$
Sturm bound $546$

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Defining parameters

Level: \( N \) \(=\) \( 2873 = 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2873.bi (of order \(26\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 169 \)
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 2928 384
Cusp forms 3264 2928 336
Eisenstein series 48 0 48

Trace form

\( 2928 q + 4 q^{3} + 248 q^{4} - 248 q^{9} + O(q^{10}) \) \( 2928 q + 4 q^{3} + 248 q^{4} - 248 q^{9} - 4 q^{10} - 122 q^{13} + 16 q^{14} - 104 q^{15} - 256 q^{16} - 4 q^{17} - 78 q^{18} - 68 q^{22} + 152 q^{23} + 156 q^{24} + 248 q^{25} - 8 q^{26} + 28 q^{27} + 24 q^{29} - 76 q^{30} - 156 q^{32} - 16 q^{35} + 284 q^{36} - 16 q^{38} + 112 q^{39} - 8 q^{40} - 212 q^{42} - 28 q^{43} - 78 q^{47} - 62 q^{48} + 76 q^{49} - 8 q^{51} - 36 q^{52} + 66 q^{55} - 84 q^{56} - 78 q^{57} + 104 q^{60} + 44 q^{61} - 36 q^{62} + 130 q^{63} + 284 q^{64} + 4 q^{65} - 152 q^{66} + 12 q^{68} + 16 q^{69} - 78 q^{71} + 44 q^{74} + 42 q^{75} - 156 q^{76} + 148 q^{78} + 80 q^{79} - 204 q^{81} + 208 q^{82} - 260 q^{83} - 494 q^{84} + 156 q^{86} - 124 q^{87} - 240 q^{88} + 16 q^{90} - 68 q^{91} + 20 q^{92} - 130 q^{93} - 100 q^{95} + 156 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2873, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(169, [\chi])\)\(^{\oplus 2}\)