Properties

Label 5733.2.im
Level $5733$
Weight $2$
Character orbit 5733.im
Rep. character $\chi_{5733}(43,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $9360$
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.im (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5733 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(1568\)

Dimensions

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

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

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

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