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Properties

Label 1045.2.ci
Level $1045$
Weight $2$
Character orbit 1045.ci
Rep. character $\chi_{1045}(27,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $1856$
Sturm bound $240$

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Defining parameters

Level: \( N \) \(=\) \( 1045 = 5 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1045.ci (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1045 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(240\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1045, [\chi])\).

Total New Old
Modular forms 1984 1984 0
Cusp forms 1856 1856 0
Eisenstein series 128 128 0

Trace form

\( 1856 q - 18 q^{2} - 18 q^{3} - 2 q^{5} - 12 q^{6} - 36 q^{7} + O(q^{10}) \) \( 1856 q - 18 q^{2} - 18 q^{3} - 2 q^{5} - 12 q^{6} - 36 q^{7} - 48 q^{10} - 72 q^{11} - 18 q^{13} - 18 q^{15} - 220 q^{16} + 128 q^{20} - 96 q^{21} - 36 q^{22} - 34 q^{25} - 144 q^{26} - 54 q^{28} - 96 q^{30} - 60 q^{32} - 30 q^{33} - 2 q^{35} + 196 q^{36} - 112 q^{38} + 42 q^{40} - 144 q^{41} + 34 q^{42} - 68 q^{43} + 40 q^{45} + 6 q^{47} - 162 q^{48} - 180 q^{51} + 6 q^{52} + 36 q^{53} + 34 q^{55} + 80 q^{57} + 126 q^{60} - 12 q^{61} - 58 q^{62} - 100 q^{63} + 80 q^{66} - 96 q^{67} + 40 q^{68} - 66 q^{70} - 36 q^{71} + 234 q^{72} - 14 q^{73} + 16 q^{76} + 100 q^{77} + 252 q^{78} + 18 q^{80} - 212 q^{81} + 6 q^{82} + 176 q^{83} + 58 q^{85} - 36 q^{86} - 88 q^{87} + 126 q^{90} + 48 q^{91} - 52 q^{92} + 194 q^{93} + 96 q^{95} - 336 q^{96} - 66 q^{97} - 60 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1045, [\chi])\) into newform subspaces

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