Properties

Label 5796.2.dq
Level $5796$
Weight $2$
Character orbit 5796.dq
Rep. character $\chi_{5796}(55,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $4760$
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.dq (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 644 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(2304\)

Dimensions

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

Total New Old
Modular forms 11680 4840 6840
Cusp forms 11360 4760 6600
Eisenstein series 320 80 240

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(5796, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5796, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1932, [\chi])\)\(^{\oplus 2}\)