Properties

Label 2015.2.gz
Level 2015
Weight 2
Character orbit gz
Rep. character \(\chi_{2015}(12,\cdot)\)
Character field \(\Q(\zeta_{60})\)
Dimension 3520
Sturm bound 448

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Defining parameters

Level: \( N \) = \( 2015 = 5 \cdot 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 2015.gz (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 2015 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(448\)

Dimensions

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

Total New Old
Modular forms 3648 3648 0
Cusp forms 3520 3520 0
Eisenstein series 128 128 0

Trace form

\( 3520q - 28q^{3} + O(q^{10}) \) \( 3520q - 28q^{3} - 36q^{10} - 48q^{12} - 14q^{13} + 816q^{16} - 28q^{17} - 92q^{22} - 40q^{23} - 16q^{25} - 48q^{26} + 20q^{27} - 24q^{35} - 1664q^{36} + 44q^{38} - 72q^{40} + 32q^{42} - 40q^{43} + 32q^{48} - 88q^{51} + 6q^{52} - 48q^{53} - 128q^{55} - 112q^{56} - 100q^{62} + 68q^{65} + 176q^{66} - 72q^{68} - 152q^{75} - 240q^{77} + 134q^{78} - 416q^{81} - 44q^{82} + 64q^{87} - 48q^{88} + 168q^{90} + 148q^{95} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2015, [\chi])\) into irreducible Hecke orbits

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