Properties

Label 5733.2.gx
Level $5733$
Weight $2$
Character orbit 5733.gx
Rep. character $\chi_{5733}(625,\cdot)$
Character field $\Q(\zeta_{21})$
Dimension $8064$
Sturm bound $1568$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 5733 = 3^{2} \cdot 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5733.gx (of order \(21\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 441 \)
Character field: \(\Q(\zeta_{21})\)
Sturm bound: \(1568\)

Dimensions

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

Total New Old
Modular forms 9456 8064 1392
Cusp forms 9360 8064 1296
Eisenstein series 96 0 96

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

\( S_{2}^{\mathrm{old}}(5733, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(441, [\chi])\)\(^{\oplus 2}\)