Properties

Label 4928.2.cx
Level $4928$
Weight $2$
Character orbit 4928.cx
Rep. character $\chi_{4928}(309,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $3840$
Sturm bound $1536$

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Defining parameters

Level: \( N \) \(=\) \( 4928 = 2^{6} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4928.cx (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 64 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(1536\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4928, [\chi])\).

Total New Old
Modular forms 6176 3840 2336
Cusp forms 6112 3840 2272
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(4928, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4928, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4928, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(64, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(704, [\chi])\)\(^{\oplus 2}\)