Properties

Label 5265.2.hj
Level $5265$
Weight $2$
Character orbit 5265.hj
Rep. character $\chi_{5265}(254,\cdot)$
Character field $\Q(\zeta_{108})$
Dimension $27072$
Sturm bound $1512$

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Defining parameters

Level: \( N \) \(=\) \( 5265 = 3^{4} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5265.hj (of order \(108\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5265 \)
Character field: \(\Q(\zeta_{108})\)
Sturm bound: \(1512\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5265, [\chi])\).

Total New Old
Modular forms 27360 27360 0
Cusp forms 27072 27072 0
Eisenstein series 288 288 0

Decomposition of \(S_{2}^{\mathrm{new}}(5265, [\chi])\) into newform subspaces

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