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Properties

Label 2520.2.w
Level $2520$
Weight $2$
Character orbit 2520.w
Rep. character $\chi_{2520}(1819,\cdot)$
Character field $\Q$
Dimension $236$
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.w (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 280 \)
Character field: \(\Q\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 592 244 348
Cusp forms 560 236 324
Eisenstein series 32 8 24

Trace form

\( 236 q - 4 q^{4} + O(q^{10}) \) \( 236 q - 4 q^{4} + 8 q^{11} + 8 q^{14} - 12 q^{16} - 4 q^{25} - 20 q^{35} + 16 q^{44} - 64 q^{46} - 4 q^{49} + 20 q^{50} + 16 q^{56} + 44 q^{64} - 16 q^{65} + 24 q^{70} + 96 q^{74} - 40 q^{86} + 40 q^{91} + O(q^{100}) \)

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

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