Properties

Label 7623.2.fx
Level 7623
Weight 2
Character orbit fx
Rep. character \(\chi_{7623}(19,\cdot)\)
Character field \(\Q(\zeta_{330})\)
Dimension 35040
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.fx (of order \(330\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 847 \)
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 85120 35360 49760
Cusp forms 83840 35040 48800
Eisenstein series 1280 320 960

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(7623, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7623, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2541, [\chi])\)\(^{\oplus 2}\)