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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11
825.6.a.s	$825$	$6$	825.a	1.a	$1$	$9$	$9$	$132.317$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-81\)	\(0\)	\(-57\)		$+$	$-$	$+$	$-$	$2^{4}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-9q^{3}+(19+\beta _{2})q^{4}-9\beta _{1}q^{6}+\cdots\)
825.6.a.x	$825$	$6$	825.a	1.a	$1$	$13$	$13$	$132.317$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-117\)	\(0\)	\(284\)		$+$	$-$	$+$	$-$	$2^{9}\cdot 5^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-9q^{3}+(17+\beta _{1}+\beta _{2})q^{4}+\cdots\)