Properties

Label 8880.2.ob
Level $8880$
Weight $2$
Character orbit 8880.ob
Rep. character $\chi_{8880}(389,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $21792$
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.ob (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8880 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(3648\)

Dimensions

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

Total New Old
Modular forms 21984 21984 0
Cusp forms 21792 21792 0
Eisenstein series 192 192 0

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

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