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Properties

Label 2640.2.bm
Level $2640$
Weight $2$
Character orbit 2640.bm
Rep. character $\chi_{2640}(419,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $960$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2640 = 2^{4} \cdot 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2640.bm (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 240 \)
Character field: \(\Q(i)\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2640, [\chi])\).

Total New Old
Modular forms 1168 960 208
Cusp forms 1136 960 176
Eisenstein series 32 0 32

Trace form

\( 960 q + O(q^{10}) \) \( 960 q - 8 q^{16} - 16 q^{19} - 12 q^{30} + 72 q^{34} + 80 q^{36} + 8 q^{40} + 56 q^{46} - 960 q^{49} - 68 q^{60} - 32 q^{61} - 72 q^{70} + 56 q^{75} + 136 q^{76} - 152 q^{84} - 52 q^{90} - 88 q^{94} + 72 q^{96} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2640, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2640, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2640, [\chi]) \cong \)