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Properties

Label 2015.2.eu
Level $2015$
Weight $2$
Character orbit 2015.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

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

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.