Properties

Label 7728.2.eg
Level $7728$
Weight $2$
Character orbit 7728.eg
Rep. character $\chi_{7728}(71,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $0$
Newform subspaces $0$
Sturm bound $3072$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 7728 = 2^{4} \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7728.eg (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 552 \)
Character field: \(\Q(\zeta_{22})\)
Newform subspaces: \( 0 \)
Sturm bound: \(3072\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 15520 0 15520
Cusp forms 15200 0 15200
Eisenstein series 320 0 320

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

\( S_{2}^{\mathrm{old}}(7728, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(552, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3864, [\chi])\)\(^{\oplus 2}\)