Properties

Label 8880.2.kz
Level $8880$
Weight $2$
Character orbit 8880.kz
Rep. character $\chi_{8880}(689,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1808$
Sturm bound $3648$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 8880 = 2^{4} \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8880.kz (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 555 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(3648\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8880, [\chi])\).

Total New Old
Modular forms 7392 1840 5552
Cusp forms 7200 1808 5392
Eisenstein series 192 32 160

Decomposition of \(S_{2}^{\mathrm{new}}(8880, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8880, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8880, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(555, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1110, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2220, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4440, [\chi])\)\(^{\oplus 2}\)