Properties

Label 9196.2.r
Level $9196$
Weight $2$
Character orbit 9196.r
Rep. character $\chi_{9196}(1453,\cdot)$
Character field $\Q(\zeta_{9})$
Dimension $1092$
Sturm bound $2640$

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Defining parameters

Level: \( N \) \(=\) \( 9196 = 2^{2} \cdot 11^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9196.r (of order \(9\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 19 \)
Character field: \(\Q(\zeta_{9})\)
Sturm bound: \(2640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9196, [\chi])\).

Total New Old
Modular forms 8136 1092 7044
Cusp forms 7704 1092 6612
Eisenstein series 432 0 432

Decomposition of \(S_{2}^{\mathrm{new}}(9196, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9196, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9196, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(19, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(38, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(209, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(418, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2299, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4598, [\chi])\)\(^{\oplus 2}\)