Properties

Label 4080.2.go
Level $4080$
Weight $2$
Character orbit 4080.go
Rep. character $\chi_{4080}(967,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1728$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4080 = 2^{4} \cdot 3 \cdot 5 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4080.go (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 680 \)
Character field: \(\Q(\zeta_{8})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1728\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 3520 0 3520
Cusp forms 3392 0 3392
Eisenstein series 128 0 128

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

\( S_{2}^{\mathrm{old}}(4080, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(680, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2040, [\chi])\)\(^{\oplus 2}\)