Properties

Label 5775.2.ft
Level $5775$
Weight $2$
Character orbit 5775.ft
Rep. character $\chi_{5775}(466,\cdot)$
Character field $\Q(\zeta_{15})$
Dimension $3840$
Sturm bound $1920$

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Defining parameters

Level: \( N \) \(=\) \( 5775 = 3 \cdot 5^{2} \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5775.ft (of order \(15\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1925 \)
Character field: \(\Q(\zeta_{15})\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5775, [\chi])\).

Total New Old
Modular forms 7744 3840 3904
Cusp forms 7616 3840 3776
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(5775, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5775, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5775, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1925, [\chi])\)\(^{\oplus 2}\)