Properties

Label 5292.2.dx
Level $5292$
Weight $2$
Character orbit 5292.dx
Rep. character $\chi_{5292}(179,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $3984$
Sturm bound $2016$

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Defining parameters

Level: \( N \) \(=\) \( 5292 = 2^{2} \cdot 3^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5292.dx (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1764 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5292, [\chi])\).

Total New Old
Modular forms 12240 4080 8160
Cusp forms 11952 3984 7968
Eisenstein series 288 96 192

Decomposition of \(S_{2}^{\mathrm{new}}(5292, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5292, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5292, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1764, [\chi])\)\(^{\oplus 2}\)