Properties

Label 6400.2.co
Level $6400$
Weight $2$
Character orbit 6400.co
Rep. character $\chi_{6400}(289,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $3776$
Sturm bound $1920$

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Defining parameters

Level: \( N \) \(=\) \( 6400 = 2^{8} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6400.co (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 800 \)
Character field: \(\Q(\zeta_{40})\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6400, [\chi])\).

Total New Old
Modular forms 15616 3904 11712
Cusp forms 15104 3776 11328
Eisenstein series 512 128 384

Decomposition of \(S_{2}^{\mathrm{new}}(6400, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6400, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6400, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(800, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3200, [\chi])\)\(^{\oplus 2}\)