Properties

Label 4864.2.b
Level $4864$
Weight $2$
Character orbit 4864.b
Rep. character $\chi_{4864}(2431,\cdot)$
Character field $\Q$
Dimension $156$
Sturm bound $1280$

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Defining parameters

Level: \( N \) \(=\) \( 4864 = 2^{8} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4864.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 152 \)
Character field: \(\Q\)
Sturm bound: \(1280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4864, [\chi])\).

Total New Old
Modular forms 664 164 500
Cusp forms 616 156 460
Eisenstein series 48 8 40

Decomposition of \(S_{2}^{\mathrm{new}}(4864, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4864, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(152, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(608, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1216, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2432, [\chi])\)\(^{\oplus 2}\)