Properties

Label 9464.2.hn
Level $9464$
Weight $2$
Character orbit 9464.hn
Rep. character $\chi_{9464}(199,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2912$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 9464 = 2^{3} \cdot 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9464.hn (of order \(78\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4732 \)
Character field: \(\Q(\zeta_{78})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2912\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9464, [\chi])\).

Total New Old
Modular forms 35136 0 35136
Cusp forms 34752 0 34752
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{old}}(9464, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9464, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4732, [\chi])\)\(^{\oplus 2}\)