Properties

Label 4704.2.dc
Level $4704$
Weight $2$
Character orbit 4704.dc
Rep. character $\chi_{4704}(509,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $5056$
Sturm bound $1792$

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Defining parameters

Level: \( N \) \(=\) \( 4704 = 2^{5} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4704.dc (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 672 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(1792\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4704, [\chi])\).

Total New Old
Modular forms 7296 5184 2112
Cusp forms 7040 5056 1984
Eisenstein series 256 128 128

Decomposition of \(S_{2}^{\mathrm{new}}(4704, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4704, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4704, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(672, [\chi])\)\(^{\oplus 2}\)