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Properties

Label 2015.2.bm
Level $2015$
Weight $2$
Character orbit 2015.bm
Rep. character $\chi_{2015}(1524,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $440$
Sturm bound $448$

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Defining parameters

Level: \( N \) \(=\) \( 2015 = 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2015.bm (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2015 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(448\)

Dimensions

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

Total New Old
Modular forms 456 456 0
Cusp forms 440 440 0
Eisenstein series 16 16 0

Trace form

\( 440 q + 212 q^{4} - 2 q^{5} + 10 q^{6} - 428 q^{9} + O(q^{10}) \) \( 440 q + 212 q^{4} - 2 q^{5} + 10 q^{6} - 428 q^{9} - q^{10} + 2 q^{11} - 5 q^{15} - 200 q^{16} - 2 q^{19} - 58 q^{20} + 12 q^{21} + 48 q^{24} - 6 q^{25} + 8 q^{26} + 16 q^{29} + 7 q^{30} + 8 q^{31} + 8 q^{34} - 14 q^{35} - 206 q^{36} - 10 q^{39} + 15 q^{40} - 8 q^{41} - 4 q^{44} - q^{45} - 16 q^{46} + 194 q^{49} - 26 q^{50} + 6 q^{51} - 14 q^{54} + 30 q^{55} - 38 q^{56} - 2 q^{59} - 26 q^{60} - 36 q^{61} - 368 q^{64} + 29 q^{65} - 36 q^{66} + 16 q^{69} + 6 q^{70} - 4 q^{71} + 58 q^{74} - 11 q^{75} + 24 q^{76} + 60 q^{79} - 70 q^{80} + 384 q^{81} + 36 q^{84} - 15 q^{85} - 28 q^{86} - 4 q^{89} - 25 q^{90} - 16 q^{91} - 21 q^{95} + 38 q^{96} - 26 q^{99} + O(q^{100}) \)

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.