Newform search results

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

Results (displaying both matches)

 

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3
648.4.a.g	$648$	$4$	648.a	1.a	$1$	$4$	$4$	$38.233$	4.4.29952.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-8\)	\(0\)		$+$	$-$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-2-\beta _{1})q^{5}+(\beta _{1}-\beta _{2})q^{7}+(-2+\cdots)q^{11}+\cdots\)
648.4.a.h	$648$	$4$	648.a	1.a	$1$	$4$	$4$	$38.233$	4.4.72153.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-3\)		$+$	$-$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{5}+(-1-\beta _{3})q^{7}+(4+\cdots)q^{11}+\cdots\)