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Properties

Label 1045.2.bp
Level $1045$
Weight $2$
Character orbit 1045.bp
Rep. character $\chi_{1045}(37,\cdot)$
Character field $\Q(\zeta_{20})$
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.bp (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1045 \)
Character field: \(\Q(\zeta_{20})\)
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

\( 928 q - 16 q^{5} - 24 q^{6} - 18 q^{7} + O(q^{10}) \) \( 928 q - 16 q^{5} - 24 q^{6} - 18 q^{7} - 24 q^{11} + 184 q^{16} - 18 q^{17} + 16 q^{20} - 48 q^{23} - 56 q^{25} - 72 q^{26} - 12 q^{28} + 60 q^{30} - 16 q^{35} - 232 q^{36} + 10 q^{38} + 20 q^{42} - 76 q^{43} - 136 q^{45} + 24 q^{47} + 20 q^{55} + 94 q^{57} + 108 q^{58} - 24 q^{61} - 116 q^{62} - 2 q^{63} - 32 q^{66} - 148 q^{68} + 32 q^{73} - 40 q^{76} - 118 q^{77} - 24 q^{80} + 80 q^{81} - 36 q^{82} - 92 q^{83} - 100 q^{85} - 8 q^{87} + 160 q^{92} - 44 q^{93} - 66 q^{95} - 120 q^{96} + O(q^{100}) \)

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.