Properties

Label 9464.2.gg
Level $9464$
Weight $2$
Character orbit 9464.gg
Rep. character $\chi_{9464}(75,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $34848$
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.gg (of order \(78\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 9464 \)
Character field: \(\Q(\zeta_{78})\)
Sturm bound: \(2912\)

Dimensions

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

Total New Old
Modular forms 35040 35040 0
Cusp forms 34848 34848 0
Eisenstein series 192 192 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.