Properties

Label 5796.2.x
Level $5796$
Weight $2$
Character orbit 5796.x
Rep. character $\chi_{5796}(551,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $2288$
Sturm bound $2304$

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Defining parameters

Level: \( N \) \(=\) \( 5796 = 2^{2} \cdot 3^{2} \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5796.x (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5796 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5796, [\chi])\).

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

Decomposition of \(S_{2}^{\mathrm{new}}(5796, [\chi])\) into newform subspaces

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