Properties

Label 1288.2.cg
Level $1288$
Weight $2$
Character orbit 1288.cg
Rep. character $\chi_{1288}(31,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $0$
Newform subspaces $0$
Sturm bound $384$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1288 = 2^{3} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1288.cg (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 644 \)
Character field: \(\Q(\zeta_{66})\)
Newform subspaces: \( 0 \)
Sturm bound: \(384\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1288, [\chi])\).

Total New Old
Modular forms 4000 0 4000
Cusp forms 3680 0 3680
Eisenstein series 320 0 320

Decomposition of \(S_{2}^{\mathrm{old}}(1288, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1288, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 2}\)