Properties

Label 4928.2.s
Level $4928$
Weight $2$
Character orbit 4928.s
Rep. character $\chi_{4928}(111,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $320$
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.s (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 112 \)
Character field: \(\Q(i)\)
Sturm bound: \(1536\)

Dimensions

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

Total New Old
Modular forms 1568 320 1248
Cusp forms 1504 320 1184
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

\( S_{2}^{\mathrm{old}}(4928, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(112, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1232, [\chi])\)\(^{\oplus 3}\)