Properties

Label 8619.2.m
Level $8619$
Weight $2$
Character orbit 8619.m
Rep. character $\chi_{8619}(6830,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1808$
Sturm bound $2184$

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Defining parameters

Level: \( N \) \(=\) \( 8619 = 3 \cdot 13^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8619.m (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 663 \)
Character field: \(\Q(i)\)
Sturm bound: \(2184\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8619, [\chi])\).

Total New Old
Modular forms 2240 1888 352
Cusp forms 2128 1808 320
Eisenstein series 112 80 32

Decomposition of \(S_{2}^{\mathrm{new}}(8619, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8619, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8619, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(663, [\chi])\)\(^{\oplus 2}\)