Properties

Label 4080.2.gd
Level $4080$
Weight $2$
Character orbit 4080.gd
Rep. character $\chi_{4080}(763,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $1728$
Sturm bound $1728$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4080 = 2^{4} \cdot 3 \cdot 5 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4080.gd (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1360 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(1728\)

Dimensions

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

Total New Old
Modular forms 3488 1728 1760
Cusp forms 3424 1728 1696
Eisenstein series 64 0 64

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

\( S_{2}^{\mathrm{old}}(4080, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1360, [\chi])\)\(^{\oplus 2}\)