Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (unique match)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	13
39.4.a.a	$39$	$4$	39.a	1.a	$1$	$1$	$1$	$2.301$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-12\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-8q^{4}-12q^{5}+2q^{7}+9q^{9}+\cdots\)