Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5
5.18.a.a	$5$	$18$	5.a	1.a	$1$	$2$	$2$	$9.161$	\(\Q(\sqrt{39}) \)	None	✓	$1$	$1$	\(680\)	\(-10980\)	\(-781250\)	\(-22820700\)		$+$	$+$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(340+\beta )q^{2}+(-5490-52\beta )q^{3}+\cdots\)