Properties

Label 5225.2.fx
Level $5225$
Weight $2$
Character orbit 5225.fx
Rep. character $\chi_{5225}(43,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $4272$
Sturm bound $1200$

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Defining parameters

Level: \( N \) \(=\) \( 5225 = 5^{2} \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5225.fx (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1045 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(1200\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5225, [\chi])\).

Total New Old
Modular forms 7344 4368 2976
Cusp forms 7056 4272 2784
Eisenstein series 288 96 192

Decomposition of \(S_{2}^{\mathrm{new}}(5225, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5225, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5225, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1045, [\chi])\)\(^{\oplus 2}\)