Newform search results

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

Results (3 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	59
531.8.a.c	$531$	$8$	531.a	1.a	$1$	$17$	$17$	$165.876$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(318\)	\(3145\)		$-$	$-$	$+$	$2^{10}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(68+\beta _{1}+\beta _{2})q^{4}+(19-2\beta _{1}+\cdots)q^{5}+\cdots\)
531.8.a.d	$531$	$8$	531.a	1.a	$1$	$17$	$17$	$165.876$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(32\)	\(0\)	\(1072\)	\(-2407\)		$-$	$-$	$+$	$2^{10}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{2}+(69-3\beta _{1}+\beta _{2})q^{4}+\cdots\)
531.8.a.f	$531$	$8$	531.a	1.a	$1$	$20$	$20$	$165.876$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(-15\)	\(0\)	\(-570\)	\(1040\)		$-$	$-$	$+$	$2^{11}\cdot 3^{10}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(77-\beta _{1}+\beta _{2})q^{4}+\cdots\)