Properties

Label 5600.2.gy
Level $5600$
Weight $2$
Character orbit 5600.gy
Rep. character $\chi_{5600}(139,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $15296$
Sturm bound $1920$

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Defining parameters

Level: \( N \) \(=\) \( 5600 = 2^{5} \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5600.gy (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5600 \)
Character field: \(\Q(\zeta_{40})\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5600, [\chi])\).

Total New Old
Modular forms 15424 15424 0
Cusp forms 15296 15296 0
Eisenstein series 128 128 0

Decomposition of \(S_{2}^{\mathrm{new}}(5600, [\chi])\) into newform subspaces

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