Properties

Label 9200.2.bf
Level $9200$
Weight $2$
Character orbit 9200.bf
Rep. character $\chi_{9200}(5657,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2880$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 9200 = 2^{4} \cdot 5^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9200.bf (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 920 \)
Character field: \(\Q(i)\)
Newform subspaces: \( 0 \)
Sturm bound: \(2880\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9200, [\chi])\).

Total New Old
Modular forms 2928 0 2928
Cusp forms 2832 0 2832
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{old}}(9200, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4600, [\chi])\)\(^{\oplus 2}\)