Properties

Label 4028.2.x
Level $4028$
Weight $2$
Character orbit 4028.x
Rep. character $\chi_{4028}(83,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $2144$
Sturm bound $1080$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4028 = 2^{2} \cdot 19 \cdot 53 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4028.x (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4028 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4028, [\chi])\).

Total New Old
Modular forms 2176 2176 0
Cusp forms 2144 2144 0
Eisenstein series 32 32 0

Decomposition of \(S_{2}^{\mathrm{new}}(4028, [\chi])\) into newform subspaces

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