Properties

Label 5265.2.bs
Level $5265$
Weight $2$
Character orbit 5265.bs
Rep. character $\chi_{5265}(1459,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $656$
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.bs (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 65 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1512\)

Dimensions

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

Total New Old
Modular forms 1560 688 872
Cusp forms 1464 656 808
Eisenstein series 96 32 64

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

\( S_{2}^{\mathrm{old}}(5265, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(65, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(195, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1755, [\chi])\)\(^{\oplus 2}\)