Properties

Label 9464.2.ip
Level $9464$
Weight $2$
Character orbit 9464.ip
Rep. character $\chi_{9464}(487,\cdot)$
Character field $\Q(\zeta_{156})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2912$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 9464 = 2^{3} \cdot 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9464.ip (of order \(156\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4732 \)
Character field: \(\Q(\zeta_{156})\)
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 70272 0 70272
Cusp forms 69504 0 69504
Eisenstein series 768 0 768

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

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