Properties

Label 8624.2.ba
Level $8624$
Weight $2$
Character orbit 8624.ba
Rep. character $\chi_{8624}(2089,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2688$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 8624 = 2^{4} \cdot 7^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8624.ba (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 616 \)
Character field: \(\Q(\zeta_{6})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2688\)
Trace bound: \(0\)

Dimensions

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

Total New Old
Modular forms 2752 0 2752
Cusp forms 2624 0 2624
Eisenstein series 128 0 128

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

\( S_{2}^{\mathrm{old}}(8624, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(616, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4312, [\chi])\)\(^{\oplus 2}\)