Space of modular forms of level 1575, weight 4, and Character 1575.ed

• Label: 1575.4.ed
• Level: $1575$
• Weight: $4$
• Character orbit: 1575.ed
• Rep. character: $\chi_{1575}(53,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $3840$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 1575 = 3^{2} \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	1575.ed (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 525 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1575, [\chi])\).

	Total	New	Old
Modular forms	11648	3840	7808
Cusp forms	11392	3840	7552
Eisenstein series	256	0	256

Trace form

\( 3840 q + 24 q^{7} + O(q^{10}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1575, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(1575, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(1575, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(525, [\chi])\)\(^{\oplus 2}\)