Space of modular forms of level 1881, weight 2, and Character 1881.g

• Label: 1881.2.g
• Level: $1881$
• Weight: $2$
• Character orbit: 1881.g
• Rep. character: $\chi_{1881}(683,\cdot)$
• Character field: $\Q$
• Dimension: $64$
• Newform subspaces: $1$
• Sturm bound: $480$
• Trace bound: $0$

Defining parameters

Level:	\( N \)	\(=\)	\( 1881 = 3^{2} \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1881.g (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 57 \)
Character field:			\(\Q\)
Newform subspaces:			\( 1 \)
Sturm bound:			\(480\)
Trace bound:			\(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1881, [\chi])\).

	Total	New	Old
Modular forms	248	64	184
Cusp forms	232	64	168
Eisenstein series	16	0	16

Trace form

\( 64 q + 72 q^{4} + 16 q^{7} + 56 q^{16} + 32 q^{19} - 48 q^{25} + 48 q^{28} - 32 q^{43} - 16 q^{49} - 64 q^{58} - 16 q^{61} + 104 q^{64} - 128 q^{73} + 48 q^{76} + 128 q^{85}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1881, [\chi])\) into newform subspaces

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1881.2.g.a	$1881$	$2$	1881.g	57.d	$2$	$64$	$64$	$15.020$		None		✓	✓	✓	1881.2.g.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(16\)		$\mathrm{SU}(2)[C_{2}]$

Decomposition of \(S_{2}^{\mathrm{old}}(1881, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1881, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(57, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(171, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(627, [\chi])\)\(^{\oplus 2}\)