Space of modular forms of level 1575, weight 2, and Character 1575.dq

• Label: 1575.2.dq
• Level: $1575$
• Weight: $2$
• Character orbit: 1575.dq
• Rep. character: $\chi_{1575}(104,\cdot)$
• Character field: $\Q(\zeta_{30})$
• Dimension: $1888$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1575 = 3^{2} \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1575.dq (of order \(30\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1575 \)
Character field:			\(\Q(\zeta_{30})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1575, [\chi])\).

	Total	New	Old
Modular forms	1952	1952	0
Cusp forms	1888	1888	0
Eisenstein series	64	64	0

Trace form

\( 1888 q - 30 q^{2} + 226 q^{4} - 12 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1575, [\chi])\) into newform subspaces

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