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Properties

Label 2640.2.ex
Level $2640$
Weight $2$
Character orbit 2640.ex
Rep. character $\chi_{2640}(83,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $4544$
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.ex (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2640 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 4672 4672 0
Cusp forms 4544 4544 0
Eisenstein series 128 128 0

Trace form

\( 4544 q - 12 q^{3} - 20 q^{6} - 40 q^{7} + O(q^{10}) \) \( 4544 q - 12 q^{3} - 20 q^{6} - 40 q^{7} - 4 q^{12} - 24 q^{15} - 24 q^{16} - 10 q^{18} - 16 q^{22} - 12 q^{27} - 20 q^{28} + 20 q^{30} - 16 q^{33} + 20 q^{36} - 20 q^{40} - 30 q^{42} - 36 q^{45} - 40 q^{46} + 6 q^{48} - 20 q^{51} + 20 q^{52} - 32 q^{55} - 20 q^{58} - 32 q^{60} - 40 q^{61} - 32 q^{66} + 36 q^{69} - 28 q^{70} - 160 q^{72} + 6 q^{75} - 12 q^{78} - 24 q^{81} - 4 q^{82} - 20 q^{85} + 176 q^{88} + 100 q^{90} - 24 q^{91} - 20 q^{96} - 24 q^{97} - 32 q^{99} + O(q^{100}) \)

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.