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.a	$531$	$8$	531.a	1.a	$1$	$14$	$14$	$165.876$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(0\)	\(430\)	\(-2390\)		$-$	$+$	$-$	$2^{9}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(41-\beta _{1}+\beta _{2})q^{4}+(29+\cdots)q^{5}+\cdots\)
531.8.a.b	$531$	$8$	531.a	1.a	$1$	$16$	$16$	$165.876$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(6\)	\(0\)	\(68\)	\(-2343\)		$-$	$+$	$-$	$2^{9}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(61+\beta _{2})q^{4}+(5-\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots\)
531.8.a.e	$531$	$8$	531.a	1.a	$1$	$18$	$18$	$165.876$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$1$	\(-24\)	\(0\)	\(-678\)	\(3081\)		$-$	$+$	$-$	$2^{12}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(75+\beta _{1}+\beta _{2})q^{4}+\cdots\)