Properties

Label 8880.2.hs
Level $8880$
Weight $2$
Character orbit 8880.hs
Rep. character $\chi_{8880}(319,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $912$
Sturm bound $3648$

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Defining parameters

Level: \( N \) \(=\) \( 8880 = 2^{4} \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8880.hs (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 740 \)
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 912 6480
Cusp forms 7200 912 6288
Eisenstein series 192 0 192

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

\( S_{2}^{\mathrm{old}}(8880, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(740, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2220, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2960, [\chi])\)\(^{\oplus 2}\)