Properties

Label 4012.2.x
Level $4012$
Weight $2$
Character orbit 4012.x
Rep. character $\chi_{4012}(67,\cdot)$
Character field $\Q(\zeta_{58})$
Dimension $15008$
Sturm bound $1080$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4012 = 2^{2} \cdot 17 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4012.x (of order \(58\) and degree \(28\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4012 \)
Character field: \(\Q(\zeta_{58})\)
Sturm bound: \(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4012, [\chi])\).

Total New Old
Modular forms 15232 15232 0
Cusp forms 15008 15008 0
Eisenstein series 224 224 0

Decomposition of \(S_{2}^{\mathrm{new}}(4012, [\chi])\) into newform subspaces

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