Properties

Label 24.8.c
Level 24
Weight 8
Character orbit c
Rep. character \(\chi_{24}(23,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 32
Trace bound 0

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Defining parameters

Level: \( N \) = \( 24 = 2^{3} \cdot 3 \)
Weight: \( k \) = \( 8 \)
Character orbit: \([\chi]\) = 24.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 12 \)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(32\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{8}(24, [\chi])\).

Total New Old
Modular forms 32 0 32
Cusp forms 24 0 24
Eisenstein series 8 0 8

Decomposition of \(S_{8}^{\mathrm{old}}(24, [\chi])\) into lower level spaces

\( S_{8}^{\mathrm{old}}(24, [\chi]) \cong \) \(S_{8}^{\mathrm{new}}(12, [\chi])\)\(^{\oplus 2}\)