Properties

Label 4018.2.bd
Level $4018$
Weight $2$
Character orbit 4018.bd
Rep. character $\chi_{4018}(155,\cdot)$
Character field $\Q(\zeta_{28})$
Dimension $2352$
Sturm bound $1176$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4018 = 2 \cdot 7^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4018.bd (of order \(28\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2009 \)
Character field: \(\Q(\zeta_{28})\)
Sturm bound: \(1176\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4018, [\chi])\).

Total New Old
Modular forms 7104 2352 4752
Cusp forms 7008 2352 4656
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{new}}(4018, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4018, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4018, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2009, [\chi])\)\(^{\oplus 2}\)