Properties

Label 4400.2.fu
Level $4400$
Weight $2$
Character orbit 4400.fu
Rep. character $\chi_{4400}(267,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $5728$
Sturm bound $1440$

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Defining parameters

Level: \( N \) \(=\) \( 4400 = 2^{4} \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4400.fu (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4400 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4400, [\chi])\).

Total New Old
Modular forms 5792 5792 0
Cusp forms 5728 5728 0
Eisenstein series 64 64 0

Decomposition of \(S_{2}^{\mathrm{new}}(4400, [\chi])\) into newform subspaces

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