Properties

Label 9464.2.i
Level $9464$
Weight $2$
Character orbit 9464.i
Rep. character $\chi_{9464}(5069,\cdot)$
Character field $\Q$
Dimension $924$
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.i (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 104 \)
Character field: \(\Q\)
Sturm bound: \(2912\)

Dimensions

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

Total New Old
Modular forms 1484 924 560
Cusp forms 1428 924 504
Eisenstein series 56 0 56

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

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

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

\( S_{2}^{\mathrm{old}}(9464, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(104, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1352, [\chi])\)\(^{\oplus 2}\)