Properties

Label 8619.2.bg
Level $8619$
Weight $2$
Character orbit 8619.bg
Rep. character $\chi_{8619}(508,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $1864$
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.bg (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 17 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(2184\)

Dimensions

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

Total New Old
Modular forms 4480 1864 2616
Cusp forms 4256 1864 2392
Eisenstein series 224 0 224

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

\( S_{2}^{\mathrm{old}}(8619, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2873, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(51, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(221, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(663, [\chi])\)\(^{\oplus 2}\)