Space of modular forms of level 3584, weight 2, and Character 3584.j

• Label: 3584.2.j
• Level: $3584$
• Weight: $2$
• Character orbit: 3584.j
• Rep. character: $\chi_{3584}(895,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $256$
• Sturm bound: $1024$

Defining parameters

Level:	\( N \)	\(=\)	\( 3584 = 2^{9} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3584.j (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 112 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(1024\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3584, [\chi])\).

	Total	New	Old
Modular forms	1088	256	832
Cusp forms	960	256	704
Eisenstein series	128	0	128

Trace form

\( 256 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3584, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3584, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3584, [\chi]) \cong \)