Properties

Label 4225.2.f
Level $4225$
Weight $2$
Character orbit 4225.f
Rep. character $\chi_{4225}(1282,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $442$
Sturm bound $910$

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Defining parameters

Level: \( N \) \(=\) \( 4225 = 5^{2} \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4225.f (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 65 \)
Character field: \(\Q(i)\)
Sturm bound: \(910\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4225, [\chi])\).

Total New Old
Modular forms 994 482 512
Cusp forms 826 442 384
Eisenstein series 168 40 128

Decomposition of \(S_{2}^{\mathrm{new}}(4225, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4225, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4225, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(65, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(325, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 2}\)