↑

Properties

Label 2640.2.ct
Level $2640$
Weight $2$
Character orbit 2640.ct
Rep. character $\chi_{2640}(1013,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $960$
Sturm bound $1152$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2640 = 2^{4} \cdot 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2640.ct (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

\( 960 q - 8 q^{4} + O(q^{10}) \) \( 960 q - 8 q^{4} + 8 q^{16} + 28 q^{18} - 16 q^{19} - 32 q^{28} + 40 q^{30} + 56 q^{34} + 40 q^{40} - 40 q^{42} + 56 q^{46} - 80 q^{48} + 40 q^{52} - 8 q^{58} - 12 q^{60} + 32 q^{61} - 56 q^{64} + 128 q^{70} + 40 q^{72} + 56 q^{75} + 56 q^{76} - 128 q^{78} - 136 q^{82} + 72 q^{84} - 24 q^{88} + 104 q^{90} + 8 q^{94} - 72 q^{96} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2640, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(240, [\chi])\)\(^{\oplus 2}\)