Properties

Label 5733.2.mq
Level $5733$
Weight $2$
Character orbit 5733.mq
Rep. character $\chi_{5733}(136,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $7800$
Sturm bound $1568$

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Defining parameters

Level: \( N \) \(=\) \( 5733 = 3^{2} \cdot 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5733.mq (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 637 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(1568\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5733, [\chi])\).

Total New Old
Modular forms 19008 7896 11112
Cusp forms 18624 7800 10824
Eisenstein series 384 96 288

Decomposition of \(S_{2}^{\mathrm{new}}(5733, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5733, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5733, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(637, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1911, [\chi])\)\(^{\oplus 2}\)