Properties

Label 4725.2.cv
Level 4725
Weight 2
Character orbit cv
Rep. character \(\chi_{4725}(541,\cdot)\)
Character field \(\Q(\zeta_{15})\)
Dimension 2560
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.cv (of order \(15\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 175 \)
Character field: \(\Q(\zeta_{15})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 5856 2560 3296
Cusp forms 5664 2560 3104
Eisenstein series 192 0 192

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

\( S_{2}^{\mathrm{old}}(4725, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(175, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(525, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1575, [\chi])\)\(^{\oplus 2}\)