Properties

Label 6600.2.kq
Level $6600$
Weight $2$
Character orbit 6600.kq
Rep. character $\chi_{6600}(53,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $11456$
Sturm bound $2880$

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Defining parameters

Level: \( N \) \(=\) \( 6600 = 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6600.kq (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6600 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(2880\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6600, [\chi])\).

Total New Old
Modular forms 11584 11584 0
Cusp forms 11456 11456 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(6600, [\chi])\) into newform subspaces

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