Properties

Label 8550.2.hc
Level $8550$
Weight $2$
Character orbit 8550.hc
Rep. character $\chi_{8550}(23,\cdot)$
Character field $\Q(\zeta_{180})$
Dimension $28800$
Sturm bound $3600$

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Defining parameters

Level: \( N \) \(=\) \( 8550 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8550.hc (of order \(180\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 4275 \)
Character field: \(\Q(\zeta_{180})\)
Sturm bound: \(3600\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8550, [\chi])\).

Total New Old
Modular forms 86784 28800 57984
Cusp forms 86016 28800 57216
Eisenstein series 768 0 768

Decomposition of \(S_{2}^{\mathrm{new}}(8550, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8550, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4275, [\chi])\)\(^{\oplus 2}\)