Properties

Label 2015.2.eu
Level 2015
Weight 2
Character orbit eu
Rep. character \(\chi_{2015}(324,\cdot)\)
Character field \(\Q(\zeta_{30})\)
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.eu (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 2015 \)
Character field: \(\Q(\zeta_{30})\)
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

\( 1760q - 456q^{4} - 248q^{9} + O(q^{10}) \) \( 1760q - 456q^{4} - 248q^{9} + 6q^{10} - 12q^{14} - 392q^{16} - 12q^{25} + 14q^{26} - 80q^{29} - 132q^{30} + 10q^{35} + 832q^{36} + 32q^{39} + 44q^{40} + 152q^{49} - 108q^{51} - 60q^{55} + 220q^{56} - 240q^{61} - 360q^{64} - 42q^{65} - 32q^{66} - 44q^{69} + 44q^{74} + 72q^{75} + 56q^{79} + 156q^{81} + 16q^{90} + 30q^{91} - 48q^{94} - 62q^{95} + O(q^{100}) \)

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.