Properties

Label 7623.2.cj
Level 7623
Weight 2
Character orbit cj
Rep. character \(\chi_{7623}(578,\cdot)\)
Character field \(\Q(\zeta_{30})\)
Dimension 6784
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.cj (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 693 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(2112\)

Dimensions

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

Total New Old
Modular forms 8640 7040 1600
Cusp forms 8256 6784 1472
Eisenstein series 384 256 128

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

\( S_{2}^{\mathrm{old}}(7623, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(693, [\chi])\)\(^{\oplus 2}\)