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Properties

Label 2640.2.bq
Level $2640$
Weight $2$
Character orbit 2640.bq
Rep. character $\chi_{2640}(923,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1136$
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.bq (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2640 \)
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 1168 0
Cusp forms 1136 1136 0
Eisenstein series 32 32 0

Trace form

\( 1136 q + O(q^{10}) \) \( 1136 q + 8 q^{12} - 24 q^{15} - 16 q^{16} + 12 q^{22} - 4 q^{33} - 40 q^{36} - 16 q^{37} + 16 q^{45} + 8 q^{48} - 8 q^{55} - 16 q^{58} - 12 q^{60} + 12 q^{66} - 16 q^{67} - 24 q^{69} - 24 q^{70} + 8 q^{75} + 16 q^{78} - 16 q^{81} - 8 q^{82} + 20 q^{88} - 16 q^{91} + 16 q^{93} - 16 q^{97} - 32 q^{99} + O(q^{100}) \)

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.