Properties

Label 8640.2.ff
Level $8640$
Weight $2$
Character orbit 8640.ff
Rep. character $\chi_{8640}(359,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $0$
Newform subspaces $0$
Sturm bound $3456$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 8640 = 2^{6} \cdot 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8640.ff (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1440 \)
Character field: \(\Q(\zeta_{24})\)
Newform subspaces: \( 0 \)
Sturm bound: \(3456\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8640, [\chi])\).

Total New Old
Modular forms 14016 0 14016
Cusp forms 13632 0 13632
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{old}}(8640, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8640, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1440, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4320, [\chi])\)\(^{\oplus 2}\)