Properties

Label 5635.2.z
Level $5635$
Weight $2$
Character orbit 5635.z
Rep. character $\chi_{5635}(1402,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1888$
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.z (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 805 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1344\)

Dimensions

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

Total New Old
Modular forms 2752 1952 800
Cusp forms 2624 1888 736
Eisenstein series 128 64 64

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(5635, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5635, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(805, [\chi])\)\(^{\oplus 2}\)