Properties

Label 7524.2.bf
Level $7524$
Weight $2$
Character orbit 7524.bf
Rep. character $\chi_{7524}(5347,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1000$
Sturm bound $2880$

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Defining parameters

Level: \( N \) \(=\) \( 7524 = 2^{2} \cdot 3^{2} \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7524.bf (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 76 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(2880\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7524, [\chi])\).

Total New Old
Modular forms 2912 1000 1912
Cusp forms 2848 1000 1848
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(7524, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7524, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7524, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(228, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(684, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(836, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2508, [\chi])\)\(^{\oplus 2}\)