Properties

Label 6664.2.bm
Level $6664$
Weight $2$
Character orbit 6664.bm
Rep. character $\chi_{6664}(1157,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1280$
Sturm bound $2016$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 6664 = 2^{3} \cdot 7^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6664.bm (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 56 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6664, [\chi])\).

Total New Old
Modular forms 2048 1280 768
Cusp forms 1984 1280 704
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(6664, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6664, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6664, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(56, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(392, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(952, [\chi])\)\(^{\oplus 2}\)