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Properties

Label 1045.2.bj
Level $1045$
Weight $2$
Character orbit 1045.bj
Rep. character $\chi_{1045}(109,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $696$
Sturm bound $240$

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Defining parameters

Level: \( N \) \(=\) \( 1045 = 5 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1045.bj (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1045 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(240\)

Dimensions

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

Total New Old
Modular forms 744 744 0
Cusp forms 696 696 0
Eisenstein series 48 48 0

Trace form

\( 696 q - 24 q^{4} - 12 q^{5} - 24 q^{9} + O(q^{10}) \) \( 696 q - 24 q^{4} - 12 q^{5} - 24 q^{9} - 24 q^{14} + 12 q^{15} - 48 q^{16} - 12 q^{20} - 60 q^{25} - 72 q^{26} - 36 q^{31} - 24 q^{34} + 60 q^{36} + 30 q^{44} - 72 q^{45} - 228 q^{49} + 66 q^{55} + 48 q^{59} + 18 q^{60} + 252 q^{64} - 84 q^{66} - 36 q^{69} + 42 q^{70} - 120 q^{71} - 180 q^{80} - 36 q^{81} + 36 q^{86} + 48 q^{89} + 132 q^{91} - 180 q^{99} + O(q^{100}) \)

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.