Properties

Label 9464.2.iq
Level $9464$
Weight $2$
Character orbit 9464.iq
Rep. character $\chi_{9464}(45,\cdot)$
Character field $\Q(\zeta_{156})$
Dimension $69696$
Sturm bound $2912$

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Defining parameters

Level: \( N \) \(=\) \( 9464 = 2^{3} \cdot 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9464.iq (of order \(156\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 9464 \)
Character field: \(\Q(\zeta_{156})\)
Sturm bound: \(2912\)

Dimensions

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

Total New Old
Modular forms 70080 70080 0
Cusp forms 69696 69696 0
Eisenstein series 384 384 0

Decomposition of \(S_{2}^{\mathrm{new}}(9464, [\chi])\) into newform subspaces

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