Properties

Label 7623.2.dl
Level 7623
Weight 2
Character orbit dl
Rep. character \(\chi_{7623}(67,\cdot)\)
Character field \(\Q(\zeta_{33})\)
Dimension 21040
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.dl (of order \(33\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 7623 \)
Character field: \(\Q(\zeta_{33})\)
Sturm bound: \(2112\)

Dimensions

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

Total New Old
Modular forms 21200 21200 0
Cusp forms 21040 21040 0
Eisenstein series 160 160 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.