Properties

Label 1088.2.cn
Level $1088$
Weight $2$
Character orbit 1088.cn
Rep. character $\chi_{1088}(69,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $1024$
Sturm bound $288$

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Defining parameters

Level: \( N \) \(=\) \( 1088 = 2^{6} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1088.cn (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 64 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(288\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1088, [\chi])\).

Total New Old
Modular forms 1168 1024 144
Cusp forms 1136 1024 112
Eisenstein series 32 0 32

Trace form

\( 1024 q + O(q^{10}) \) \( 1024 q - 16 q^{22} - 80 q^{26} - 80 q^{30} - 80 q^{36} - 80 q^{40} - 16 q^{44} + 48 q^{50} - 128 q^{55} + 112 q^{56} + 144 q^{58} + 192 q^{60} - 160 q^{63} + 96 q^{64} + 96 q^{66} - 160 q^{67} + 192 q^{70} + 144 q^{72} + 112 q^{74} - 128 q^{75} - 48 q^{78} - 80 q^{80} - 160 q^{82} - 224 q^{84} - 160 q^{88} - 288 q^{90} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1088, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(1088, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1088, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(64, [\chi])\)\(^{\oplus 2}\)