Properties

Label 1980.2.cu
Level $1980$
Weight $2$
Character orbit 1980.cu
Rep. character $\chi_{1980}(107,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $1152$
Sturm bound $864$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 1980 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1980.cu (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 660 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1980, [\chi])\).

Total New Old
Modular forms 3584 1152 2432
Cusp forms 3328 1152 2176
Eisenstein series 256 0 256

Trace form

\( 1152 q + O(q^{10}) \) \( 1152 q + 16 q^{22} + 80 q^{52} - 48 q^{58} + 80 q^{73} + 48 q^{82} + 64 q^{88} - 160 q^{97} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1980, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1980, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1980, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(660, [\chi])\)\(^{\oplus 2}\)