Properties

Label 7744.2.bf
Level $7744$
Weight $2$
Character orbit 7744.bf
Rep. character $\chi_{7744}(81,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1664$
Sturm bound $2112$

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Defining parameters

Level: \( N \) \(=\) \( 7744 = 2^{6} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7744.bf (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 176 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(2112\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7744, [\chi])\).

Total New Old
Modular forms 8832 1792 7040
Cusp forms 8064 1664 6400
Eisenstein series 768 128 640

Decomposition of \(S_{2}^{\mathrm{new}}(7744, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7744, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7744, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(176, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(704, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1936, [\chi])\)\(^{\oplus 3}\)