Properties

Label 5544.2.bl
Level $5544$
Weight $2$
Character orbit 5544.bl
Rep. character $\chi_{5544}(4709,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1920$
Sturm bound $2304$

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Defining parameters

Level: \( N \) \(=\) \( 5544 = 2^{3} \cdot 3^{2} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5544.bl (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 504 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5544, [\chi])\).

Total New Old
Modular forms 2320 1920 400
Cusp forms 2288 1920 368
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(5544, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5544, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5544, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(504, [\chi])\)\(^{\oplus 2}\)