Properties

Label 4725.2.fa
Level $4725$
Weight $2$
Character orbit 4725.fa
Rep. character $\chi_{4725}(643,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $5136$
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.fa (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 945 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 8784 5232 3552
Cusp forms 8496 5136 3360
Eisenstein series 288 96 192

Decomposition of \(S_{2}^{\mathrm{new}}(4725, [\chi])\) into newform subspaces

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

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