Properties

Label 9196.2.be
Level $9196$
Weight $2$
Character orbit 9196.be
Rep. character $\chi_{9196}(243,\cdot)$
Character field $\Q(\zeta_{18})$
Dimension $6432$
Sturm bound $2640$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 9196 = 2^{2} \cdot 11^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9196.be (of order \(18\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 76 \)
Character field: \(\Q(\zeta_{18})\)
Sturm bound: \(2640\)

Dimensions

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

Total New Old
Modular forms 8064 6648 1416
Cusp forms 7776 6432 1344
Eisenstein series 288 216 72

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

\( S_{2}^{\mathrm{old}}(9196, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 2}\)