Properties

Label 8820.2.em
Level $8820$
Weight $2$
Character orbit 8820.em
Rep. character $\chi_{8820}(3823,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $5824$
Sturm bound $4032$

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Defining parameters

Level: \( N \) \(=\) \( 8820 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8820.em (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 180 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(4032\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8820, [\chi])\).

Total New Old
Modular forms 8192 5984 2208
Cusp forms 7936 5824 2112
Eisenstein series 256 160 96

Decomposition of \(S_{2}^{\mathrm{new}}(8820, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8820, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8820, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(180, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1260, [\chi])\)\(^{\oplus 2}\)