Properties

Label 4017.2.dc
Level $4017$
Weight $2$
Character orbit 4017.dc
Rep. character $\chi_{4017}(113,\cdot)$
Character field $\Q(\zeta_{102})$
Dimension $15424$
Sturm bound $970$

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 4017 = 3 \cdot 13 \cdot 103 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4017.dc (of order \(102\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4017 \)
Character field: \(\Q(\zeta_{102})\)
Sturm bound: \(970\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4017, [\chi])\).

Total New Old
Modular forms 15680 15680 0
Cusp forms 15424 15424 0
Eisenstein series 256 256 0

Decomposition of \(S_{2}^{\mathrm{new}}(4017, [\chi])\) into newform subspaces

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