Properties

Label 16.3.d
Level $16$
Weight $3$
Character orbit 16.d
Rep. character $\chi_{16}(7,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $6$
Trace bound $0$

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) \(=\) \( 16 = 2^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 16.d (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(6\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{3}(16, [\chi])\).

Total New Old
Modular forms 6 0 6
Cusp forms 2 0 2
Eisenstein series 4 0 4

Decomposition of \(S_{3}^{\mathrm{old}}(16, [\chi])\) into lower level spaces

\( S_{3}^{\mathrm{old}}(16, [\chi]) \cong \) \(S_{3}^{\mathrm{new}}(8, [\chi])\)\(^{\oplus 2}\)