Properties

Label 5635.2.do
Level $5635$
Weight $2$
Character orbit 5635.do
Rep. character $\chi_{5635}(3,\cdot)$
Character field $\Q(\zeta_{924})$
Dimension $160320$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 5635 = 5 \cdot 7^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5635.do (of order \(924\) and degree \(240\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5635 \)
Character field: \(\Q(\zeta_{924})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5635, [\chi])\).

Total New Old
Modular forms 162240 162240 0
Cusp forms 160320 160320 0
Eisenstein series 1920 1920 0

Decomposition of \(S_{2}^{\mathrm{new}}(5635, [\chi])\) into newform subspaces

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