Properties

Label 5265.2.fq
Level $5265$
Weight $2$
Character orbit 5265.fq
Rep. character $\chi_{5265}(287,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $2592$
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.fq (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 135 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(1512\)

Dimensions

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

Total New Old
Modular forms 9216 2592 6624
Cusp forms 8928 2592 6336
Eisenstein series 288 0 288

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(5265, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5265, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(135, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(405, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1755, [\chi])\)\(^{\oplus 2}\)