Properties

Label 4650.2.fs
Level $4650$
Weight $2$
Character orbit 4650.fs
Rep. character $\chi_{4650}(107,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $3072$
Sturm bound $1920$

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Defining parameters

Level: \( N \) \(=\) \( 4650 = 2 \cdot 3 \cdot 5^{2} \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4650.fs (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 465 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4650, [\chi])\).

Total New Old
Modular forms 15744 3072 12672
Cusp forms 14976 3072 11904
Eisenstein series 768 0 768

Decomposition of \(S_{2}^{\mathrm{new}}(4650, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4650, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4650, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(465, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(930, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2325, [\chi])\)\(^{\oplus 2}\)