Properties

Label 4725.2.ci
Level 4725
Weight 2
Character orbit ci
Rep. character \(\chi_{4725}(368,\cdot)\)
Character field \(\Q(\zeta_{12})\)
Dimension 560
Sturm bound 1440

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Defining parameters

Level: \( N \) = \( 4725 = 3^{3} \cdot 5^{2} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 4725.ci (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 315 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4725, [\chi])\).

Total New Old
Modular forms 3024 592 2432
Cusp forms 2736 560 2176
Eisenstein series 288 32 256

Decomposition of \(S_{2}^{\mathrm{new}}(4725, [\chi])\) into irreducible Hecke orbits

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

Decomposition of \(S_{2}^{\mathrm{old}}(4725, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4725, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(315, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(945, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1575, [\chi])\)\(^{\oplus 2}\)