Space of modular forms of level 1792, weight 2, and Character 1792.x

• Label: 1792.2.x
• Level: $1792$
• Weight: $2$
• Character orbit: 1792.x
• Rep. character: $\chi_{1792}(223,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $240$
• Sturm bound: $512$

Defining parameters

Level:	\( N \)	\(=\)	\( 1792 = 2^{8} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1792.x (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 224 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(512\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1792, [\chi])\).

	Total	New	Old
Modular forms	1088	272	816
Cusp forms	960	240	720
Eisenstein series	128	32	96

Trace form

\( 240 q - 16 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1792, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1792, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1792, [\chi]) \cong \)