Properties

Label 7623.2.fz
Level $7623$
Weight $2$
Character orbit 7623.fz
Rep. character $\chi_{7623}(47,\cdot)$
Character field $\Q(\zeta_{330})$
Dimension $84160$
Sturm bound $2112$

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Defining parameters

Level: \( N \) \(=\) \( 7623 = 3^{2} \cdot 7 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7623.fz (of order \(330\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 7623 \)
Character field: \(\Q(\zeta_{330})\)
Sturm bound: \(2112\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7623, [\chi])\).

Total New Old
Modular forms 84800 84800 0
Cusp forms 84160 84160 0
Eisenstein series 640 640 0

Decomposition of \(S_{2}^{\mathrm{new}}(7623, [\chi])\) into newform subspaces

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