Properties

Label 4334.3.bd
Level $4334$
Weight $3$
Character orbit 4334.bd
Rep. character $\chi_{4334}(45,\cdot)$
Character field $\Q(\zeta_{196})$
Dimension $27720$
Sturm bound $1782$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 4334 = 2 \cdot 11 \cdot 197 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 4334.bd (of order \(196\) and degree \(84\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 197 \)
Character field: \(\Q(\zeta_{196})\)
Sturm bound: \(1782\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(4334, [\chi])\).

Total New Old
Modular forms 100128 27720 72408
Cusp forms 99456 27720 71736
Eisenstein series 672 0 672

Decomposition of \(S_{3}^{\mathrm{new}}(4334, [\chi])\) into newform subspaces

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

Decomposition of \(S_{3}^{\mathrm{old}}(4334, [\chi])\) into lower level spaces

\( S_{3}^{\mathrm{old}}(4334, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(197, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(394, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(2167, [\chi])\)\(^{\oplus 2}\)