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Properties

Label 2640.2.bv
Level $2640$
Weight $2$
Character orbit 2640.bv
Rep. character $\chi_{2640}(373,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $576$
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.bv (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 880 \)
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 576 592
Cusp forms 1136 576 560
Eisenstein series 32 0 32

Trace form

\( 576 q + 576 q^{9} + O(q^{10}) \) \( 576 q + 576 q^{9} + 16 q^{12} + 28 q^{22} + 16 q^{34} + 56 q^{38} - 48 q^{44} + 96 q^{56} + 80 q^{58} - 32 q^{59} - 24 q^{66} + 88 q^{70} - 32 q^{75} + 24 q^{78} + 16 q^{80} + 576 q^{81} - 56 q^{82} - 16 q^{86} + 52 q^{88} + 32 q^{91} + 80 q^{92} + O(q^{100}) \)

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

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