Properties

Label 4080.2.jl
Level $4080$
Weight $2$
Character orbit 4080.jl
Rep. character $\chi_{4080}(209,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $1696$
Sturm bound $1728$

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Defining parameters

Level: \( N \) \(=\) \( 4080 = 2^{4} \cdot 3 \cdot 5 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4080.jl (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 255 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(1728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4080, [\chi])\).

Total New Old
Modular forms 7104 1760 5344
Cusp forms 6720 1696 5024
Eisenstein series 384 64 320

Decomposition of \(S_{2}^{\mathrm{new}}(4080, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4080, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4080, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(510, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1020, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2040, [\chi])\)\(^{\oplus 2}\)