Properties

Label 8033.2.d
Level $8033$
Weight $2$
Character orbit 8033.d
Rep. character $\chi_{8033}(8032,\cdot)$
Character field $\Q$
Dimension $692$
Sturm bound $1390$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8033 = 29 \cdot 277 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8033.d (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8033 \)
Character field: \(\Q\)
Sturm bound: \(1390\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8033, [\chi])\).

Total New Old
Modular forms 696 696 0
Cusp forms 692 692 0
Eisenstein series 4 4 0

Decomposition of \(S_{2}^{\mathrm{new}}(8033, [\chi])\) into newform subspaces

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