Properties

Label 4332.2.c
Level $4332$
Weight $2$
Character orbit 4332.c
Rep. character $\chi_{4332}(3611,\cdot)$
Character field $\Q$
Dimension $648$
Sturm bound $1520$

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Defining parameters

Level: \( N \) \(=\) \( 4332 = 2^{2} \cdot 3 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4332.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 12 \)
Character field: \(\Q\)
Sturm bound: \(1520\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4332, [\chi])\).

Total New Old
Modular forms 800 716 84
Cusp forms 720 648 72
Eisenstein series 80 68 12

Decomposition of \(S_{2}^{\mathrm{new}}(4332, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4332, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4332, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(228, [\chi])\)\(^{\oplus 2}\)