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Properties

Label 2520.2.cs
Level $2520$
Weight $2$
Character orbit 2520.cs
Rep. character $\chi_{2520}(19,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $472$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2520.cs (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 280 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

Total New Old
Modular forms 1184 488 696
Cusp forms 1120 472 648
Eisenstein series 64 16 48

Trace form

\( 472 q - 2 q^{4} + O(q^{10}) \) \( 472 q - 2 q^{4} - 12 q^{10} + 4 q^{11} - 14 q^{14} - 6 q^{16} - 12 q^{19} - 2 q^{25} - 6 q^{26} + 26 q^{35} - 48 q^{40} + 2 q^{44} - 2 q^{46} - 8 q^{49} + 16 q^{50} + 20 q^{56} - 36 q^{59} + 52 q^{64} - 8 q^{65} + 6 q^{70} + 18 q^{74} + 24 q^{80} - 8 q^{86} + 36 q^{89} + 32 q^{91} + 30 q^{94} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2520, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2520, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2520, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(280, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(840, [\chi])\)\(^{\oplus 2}\)