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Properties

Label 2640.2.co
Level $2640$
Weight $2$
Character orbit 2640.co
Rep. character $\chi_{2640}(67,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $480$
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.co (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 80 \)
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 480 688
Cusp forms 1136 480 656
Eisenstein series 32 0 32

Trace form

\( 480 q - 8 q^{4} - 24 q^{8} - 480 q^{9} + O(q^{10}) \) \( 480 q - 8 q^{4} - 24 q^{8} - 480 q^{9} - 8 q^{16} + 16 q^{19} + 24 q^{20} - 56 q^{28} - 32 q^{30} - 24 q^{34} + 48 q^{35} + 8 q^{36} + 24 q^{38} + 40 q^{40} + 40 q^{42} + 8 q^{46} - 96 q^{47} + 32 q^{48} + 16 q^{51} - 112 q^{52} + 8 q^{58} - 32 q^{59} + 32 q^{61} - 72 q^{62} - 8 q^{64} + 96 q^{67} + 32 q^{69} - 128 q^{70} + 64 q^{71} + 24 q^{72} + 32 q^{73} + 64 q^{74} - 56 q^{76} - 24 q^{78} - 40 q^{80} + 480 q^{81} - 24 q^{82} - 80 q^{86} - 24 q^{88} + 32 q^{91} - 32 q^{92} + 8 q^{94} - 24 q^{98} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2640, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(80, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(240, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(880, [\chi])\)\(^{\oplus 2}\)