Properties

Label 8624.2.hh
Level $8624$
Weight $2$
Character orbit 8624.hh
Rep. character $\chi_{8624}(37,\cdot)$
Character field $\Q(\zeta_{420})$
Dimension $128640$
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.hh (of order \(420\) and degree \(96\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 8624 \)
Character field: \(\Q(\zeta_{420})\)
Sturm bound: \(2688\)

Dimensions

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

Total New Old
Modular forms 129408 129408 0
Cusp forms 128640 128640 0
Eisenstein series 768 768 0

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

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