Properties

Label 7168.2.br
Level $7168$
Weight $2$
Character orbit 7168.br
Rep. character $\chi_{7168}(65,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $3968$
Sturm bound $2048$

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Defining parameters

Level: \( N \) \(=\) \( 7168 = 2^{10} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7168.br (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 448 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(2048\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7168, [\chi])\).

Total New Old
Modular forms 16896 4224 12672
Cusp forms 15872 3968 11904
Eisenstein series 1024 256 768

Decomposition of \(S_{2}^{\mathrm{new}}(7168, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7168, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7168, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1792, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3584, [\chi])\)\(^{\oplus 2}\)