Properties

Label 7744.2.y
Level $7744$
Weight $2$
Character orbit 7744.y
Rep. character $\chi_{7744}(705,\cdot)$
Character field $\Q(\zeta_{11})$
Dimension $2620$
Sturm bound $2112$

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Defining parameters

Level: \( N \) \(=\) \( 7744 = 2^{6} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7744.y (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 121 \)
Character field: \(\Q(\zeta_{11})\)
Sturm bound: \(2112\)

Dimensions

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

Total New Old
Modular forms 10680 2660 8020
Cusp forms 10440 2620 7820
Eisenstein series 240 40 200

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

\( S_{2}^{\mathrm{old}}(7744, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(242, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(484, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(968, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1936, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3872, [\chi])\)\(^{\oplus 2}\)