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Properties

Label 1045.2.bv
Level $1045$
Weight $2$
Character orbit 1045.bv
Rep. character $\chi_{1045}(84,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $928$
Sturm bound $240$

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Defining parameters

Level: \( N \) \(=\) \( 1045 = 5 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1045.bv (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1045 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(240\)

Dimensions

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

Total New Old
Modular forms 992 992 0
Cusp forms 928 928 0
Eisenstein series 64 64 0

Trace form

\( 928 q - 118 q^{4} - q^{5} - 10 q^{6} + 102 q^{9} + O(q^{10}) \) \( 928 q - 118 q^{4} - q^{5} - 10 q^{6} + 102 q^{9} - 24 q^{11} - 12 q^{14} - 21 q^{15} + 90 q^{16} - 20 q^{19} - 84 q^{20} - 30 q^{24} + q^{25} + 36 q^{26} - 30 q^{29} + 10 q^{30} - 48 q^{34} + 15 q^{35} - 136 q^{36} - 40 q^{39} - 120 q^{40} + 60 q^{41} + 2 q^{44} - 4 q^{45} - 304 q^{49} - 30 q^{51} + 5 q^{55} - 126 q^{59} + 12 q^{60} + 120 q^{64} - 84 q^{66} - 132 q^{70} + 6 q^{71} - 10 q^{74} - 30 q^{79} + 3 q^{80} + 154 q^{81} + 100 q^{85} + 42 q^{86} - 84 q^{89} - 105 q^{90} + 108 q^{91} - 130 q^{95} - 260 q^{96} + 22 q^{99} + O(q^{100}) \)

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.