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	5
200.6.a.i	$200$	$6$	200.a	1.a	$1$	$3$	$3$	$32.077$	3.3.47217.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-70\)		$+$	$-$	$-$	$2^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-24+\beta _{1}+\beta _{2})q^{7}+(50+\cdots)q^{9}+\cdots\)
200.6.a.k	$200$	$6$	200.a	1.a	$1$	$4$	$4$	$32.077$	4.4.1595208.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(148\)		$+$	$-$	$-$	$2^{8}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(37+\beta _{1}-\beta _{3})q^{7}+(5^{3}+\cdots)q^{9}+\cdots\)