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Properties

Label 2015.2.eo
Level $2015$
Weight $2$
Character orbit 2015.eo
Rep. character $\chi_{2015}(77,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1760$
Sturm bound $448$

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Defining parameters

Level: \( N \) \(=\) \( 2015 = 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2015.eo (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2015 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(448\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2015, [\chi])\).

Total New Old
Modular forms 1824 1824 0
Cusp forms 1760 1760 0
Eisenstein series 64 64 0

Trace form

\( 1760 q - 20 q^{3} + O(q^{10}) \) \( 1760 q - 20 q^{3} - 12 q^{10} - 60 q^{12} - 10 q^{13} + 360 q^{16} - 20 q^{17} + 80 q^{22} - 20 q^{23} - 32 q^{25} - 80 q^{27} - 12 q^{35} + 1472 q^{36} - 68 q^{38} - 84 q^{40} - 140 q^{42} - 20 q^{43} - 140 q^{48} - 8 q^{51} - 120 q^{52} + 80 q^{55} - 32 q^{56} - 44 q^{62} + 100 q^{65} - 248 q^{66} + 20 q^{75} + 180 q^{77} - 20 q^{78} + 368 q^{81} - 28 q^{82} - 16 q^{87} - 180 q^{90} - 60 q^{91} - 88 q^{95} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2015, [\chi])\) into newform subspaces

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