Properties

Label 1183.2.r
Level $1183$
Weight $2$
Character orbit 1183.r
Rep. character $\chi_{1183}(506,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $184$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1183 = 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1183.r (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 91 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(242\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1183, [\chi])\).

Total New Old
Modular forms 272 224 48
Cusp forms 216 184 32
Eisenstein series 56 40 16

Trace form

\( 184 q + 4 q^{3} + 82 q^{4} - 64 q^{9} + O(q^{10}) \) \( 184 q + 4 q^{3} + 82 q^{4} - 64 q^{9} + 6 q^{10} - 18 q^{12} - 66 q^{16} - 10 q^{17} + 32 q^{22} + 14 q^{23} + 54 q^{25} - 92 q^{27} + 16 q^{29} - 20 q^{30} + 12 q^{35} - 4 q^{36} - 46 q^{38} - 8 q^{40} - 14 q^{42} - 20 q^{43} + 76 q^{48} - 46 q^{49} - 26 q^{51} + 12 q^{53} - 32 q^{55} + 28 q^{56} + 10 q^{61} - 40 q^{62} - 120 q^{64} - 4 q^{66} + 104 q^{68} + 64 q^{69} - 42 q^{74} - 4 q^{75} + 92 q^{77} - 30 q^{79} + 28 q^{81} + 40 q^{82} + 16 q^{87} - 10 q^{88} + 108 q^{90} - 64 q^{92} + 28 q^{94} + 18 q^{95} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1183, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1183, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1183, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(91, [\chi])\)\(^{\oplus 2}\)