Properties

Label 9450.2.gl
Level 9450
Weight 2
Character orbit gl
Rep. character \(\chi_{9450}(169,\cdot)\)
Character field \(\Q(\zeta_{90})\)
Dimension 12960
Sturm bound 4320

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Defining parameters

Level: \( N \) = \( 9450 = 2 \cdot 3^{3} \cdot 5^{2} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 9450.gl (of order \(90\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 675 \)
Character field: \(\Q(\zeta_{90})\)
Sturm bound: \(4320\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9450, [\chi])\).

Total New Old
Modular forms 52032 12960 39072
Cusp forms 51648 12960 38688
Eisenstein series 384 0 384

Decomposition of \(S_{2}^{\mathrm{new}}(9450, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(9450, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9450, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(675, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1350, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4725, [\chi])\)\(^{\oplus 2}\)