Space of modular forms of level 3969, weight 2, and Character 3969.h

• Label: 3969.2.h
• Level: $3969$
• Weight: $2$
• Character orbit: 3969.h
• Rep. character: $\chi_{3969}(2566,\cdot)$
• Character field: $\Q(\zeta_{3})$
• Dimension: $312$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 3969 = 3^{4} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3969.h (of order \(3\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 63 \)
Character field:			\(\Q(\zeta_{3})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3969, [\chi])\).

	Total	New	Old
Modular forms	1104	328	776
Cusp forms	912	312	600
Eisenstein series	192	16	176

Trace form

\( 312 q + 300 q^{4} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3969, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3969, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3969, [\chi]) \cong \)