Space of modular forms of level 3648, weight 2, and Character 3648.p

• Label: 3648.2.p
• Level: $3648$
• Weight: $2$
• Character orbit: 3648.p
• Rep. character: $\chi_{3648}(2849,\cdot)$
• Character field: $\Q$
• Dimension: $160$
• Sturm bound: $1280$

Defining parameters

Level:	\( N \)	\(=\)	\( 3648 = 2^{6} \cdot 3 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3648.p (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 456 \)
Character field:			\(\Q\)
Sturm bound:			\(1280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3648, [\chi])\).

	Total	New	Old
Modular forms	664	160	504
Cusp forms	616	160	456
Eisenstein series	48	0	48

Trace form

\( 160 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3648, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3648, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3648, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(912, [\chi])\)\(^{\oplus 3}\)