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Properties

Label 2793.2.cv
Level $2793$
Weight $2$
Character orbit 2793.cv
Rep. character $\chi_{2793}(64,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $2256$
Sturm bound $746$

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Defining parameters

Level: \( N \) \(=\) \( 2793 = 3 \cdot 7^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2793.cv (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 931 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(746\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2793, [\chi])\).

Total New Old
Modular forms 4512 2256 2256
Cusp forms 4416 2256 2160
Eisenstein series 96 0 96

Trace form

\( 2256 q + 4 q^{3} + 192 q^{4} + 4 q^{5} + 24 q^{8} + 188 q^{9} + O(q^{10}) \) \( 2256 q + 4 q^{3} + 192 q^{4} + 4 q^{5} + 24 q^{8} + 188 q^{9} - 4 q^{10} + 36 q^{11} - 24 q^{12} - 2 q^{14} + 200 q^{16} - 18 q^{17} - 8 q^{19} + 104 q^{20} - 6 q^{21} - 8 q^{22} + 16 q^{23} + 200 q^{25} + 120 q^{26} - 8 q^{27} + 16 q^{28} - 8 q^{29} + 304 q^{31} + 40 q^{32} + 8 q^{33} + 8 q^{34} + 50 q^{35} + 192 q^{36} - 92 q^{37} - 68 q^{38} - 60 q^{39} - 24 q^{41} + 24 q^{42} - 20 q^{43} + 76 q^{44} + 20 q^{45} - 64 q^{46} - 20 q^{47} - 168 q^{48} + 32 q^{49} - 16 q^{50} + 74 q^{52} - 24 q^{53} + 6 q^{55} - 120 q^{56} + 20 q^{57} + 16 q^{58} - 56 q^{59} + 10 q^{61} - 8 q^{62} + 14 q^{63} - 360 q^{64} - 96 q^{65} + 48 q^{66} + 40 q^{67} - 56 q^{68} - 16 q^{69} - 16 q^{70} + 30 q^{72} + 20 q^{73} + 20 q^{74} - 56 q^{75} - 70 q^{76} - 36 q^{77} + 40 q^{78} - 128 q^{80} + 188 q^{81} + 54 q^{82} - 172 q^{83} - 12 q^{84} + 84 q^{85} + 70 q^{86} - 120 q^{88} + 38 q^{89} - 4 q^{90} + 24 q^{91} + 40 q^{92} - 20 q^{93} + 112 q^{94} - 40 q^{95} - 68 q^{97} - 104 q^{98} - 4 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2793, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(2793, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2793, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(931, [\chi])\)\(^{\oplus 2}\)