Properties

Label 4410.2.bx
Level $4410$
Weight $2$
Character orbit 4410.bx
Rep. character $\chi_{4410}(607,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $960$
Sturm bound $2016$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4410 = 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4410.bx (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 315 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(2016\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4410, [\chi])\).

Total New Old
Modular forms 4160 960 3200
Cusp forms 3904 960 2944
Eisenstein series 256 0 256

Decomposition of \(S_{2}^{\mathrm{new}}(4410, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4410, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4410, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(315, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(630, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2205, [\chi])\)\(^{\oplus 2}\)