Properties

Label 7728.2.ee
Level $7728$
Weight $2$
Character orbit 7728.ee
Rep. character $\chi_{7728}(97,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $1920$
Sturm bound $3072$

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Defining parameters

Level: \( N \) \(=\) \( 7728 = 2^{4} \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7728.ee (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 161 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(3072\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7728, [\chi])\).

Total New Old
Modular forms 15600 1920 13680
Cusp forms 15120 1920 13200
Eisenstein series 480 0 480

Decomposition of \(S_{2}^{\mathrm{new}}(7728, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7728, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7728, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 10}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(322, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(483, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(966, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1288, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1932, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2576, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3864, [\chi])\)\(^{\oplus 2}\)