Properties

Label 4332.2.v
Level $4332$
Weight $2$
Character orbit 4332.v
Rep. character $\chi_{4332}(1859,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $3888$
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.v (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 228 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(1520\)

Dimensions

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

Total New Old
Modular forms 4800 4272 528
Cusp forms 4320 3888 432
Eisenstein series 480 384 96

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

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