Properties

Label 7744.2.cz
Level $7744$
Weight $2$
Character orbit 7744.cz
Rep. character $\chi_{7744}(5,\cdot)$
Character field $\Q(\zeta_{880})$
Dimension $337280$
Sturm bound $2112$

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Defining parameters

Level: \( N \) \(=\) \( 7744 = 2^{6} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7744.cz (of order \(880\) and degree \(320\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7744 \)
Character field: \(\Q(\zeta_{880})\)
Sturm bound: \(2112\)

Dimensions

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

Total New Old
Modular forms 338560 338560 0
Cusp forms 337280 337280 0
Eisenstein series 1280 1280 0

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

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