↑

Properties

Label 1183.2.i
Level $1183$
Weight $2$
Character orbit 1183.i
Rep. character $\chi_{1183}(944,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $188$
Sturm bound $242$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1183 = 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1183.i (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 91 \)
Character field: \(\Q(i)\)
Sturm bound: \(242\)

Dimensions

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

Total New Old
Modular forms 268 228 40
Cusp forms 212 188 24
Eisenstein series 56 40 16

Trace form

\( 188 q + 4 q^{2} + 8 q^{7} - 4 q^{8} - 148 q^{9} + O(q^{10}) \) \( 188 q + 4 q^{2} + 8 q^{7} - 4 q^{8} - 148 q^{9} + 8 q^{11} - 28 q^{14} + 4 q^{15} - 144 q^{16} + 8 q^{18} + 24 q^{22} + 20 q^{28} + 8 q^{29} + 16 q^{32} - 8 q^{35} - 12 q^{37} - 72 q^{42} - 12 q^{44} - 24 q^{46} + 28 q^{50} - 64 q^{53} + 8 q^{57} + 44 q^{58} - 44 q^{60} - 20 q^{63} - 60 q^{67} - 4 q^{70} + 28 q^{72} + 48 q^{74} - 24 q^{79} + 132 q^{81} + 4 q^{84} - 12 q^{85} - 36 q^{86} - 96 q^{92} + 28 q^{93} + 28 q^{98} - 12 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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