Properties

Label 1520.2.cy
Level $1520$
Weight $2$
Character orbit 1520.cy
Rep. character $\chi_{1520}(349,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $944$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 1520 = 2^{4} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1520.cy (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1520 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1520, [\chi])\).

Total New Old
Modular forms 976 976 0
Cusp forms 944 944 0
Eisenstein series 32 32 0

Trace form

\( 944q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 944q - 4q^{4} - 2q^{5} - 4q^{6} - 8q^{10} - 16q^{11} - 12q^{14} - 4q^{15} + 20q^{20} - 16q^{21} + 4q^{24} - 24q^{26} - 4q^{29} - 72q^{30} + 64q^{31} - 12q^{34} + 12q^{35} - 20q^{36} - 12q^{40} - 60q^{44} - 40q^{45} - 32q^{46} + 816q^{49} + 4q^{50} - 36q^{51} - 36q^{54} - 128q^{56} - 4q^{59} - 20q^{60} + 28q^{61} - 40q^{64} - 16q^{65} + 44q^{66} + 72q^{69} - 52q^{70} - 4q^{74} + 116q^{75} + 84q^{76} - 120q^{79} - 34q^{80} + 400q^{81} - 128q^{84} - 22q^{85} + 28q^{86} - 14q^{90} - 32q^{91} - 200q^{94} - 32q^{95} - 120q^{96} - 24q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1520, [\chi])\) into newform subspaces

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