Properties

Label 8624.2.f
Level $8624$
Weight $2$
Character orbit 8624.f
Rep. character $\chi_{8624}(7743,\cdot)$
Character field $\Q$
Dimension $246$
Sturm bound $2688$

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Defining parameters

Level: \( N \) \(=\) \( 8624 = 2^{4} \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8624.f (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 44 \)
Character field: \(\Q\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8624, [\chi])\).

Total New Old
Modular forms 1392 246 1146
Cusp forms 1296 246 1050
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{new}}(8624, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8624, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8624, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(44, [\chi])\)\(^{\oplus 9}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(176, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(308, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1232, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2156, [\chi])\)\(^{\oplus 3}\)