Newform search results

Results (4 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	3	5	67
8040.2.a.u	$8040$	$2$	8040.a	1.a	$1$	$8$	$8$	$64.200$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-8\)	\(-8\)	\(1\)		$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-\beta _{4}q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots\)
8040.2.a.v	$8040$	$2$	8040.a	1.a	$1$	$8$	$8$	$64.200$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-8\)	\(8\)	\(3\)		$-$	$+$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-\beta _{7}q^{7}+q^{9}+(1+\beta _{4}+\cdots)q^{11}+\cdots\)
8040.2.a.w	$8040$	$2$	8040.a	1.a	$1$	$8$	$8$	$64.200$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(-8\)	\(0\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+\beta _{4}q^{7}+q^{9}+(1-\beta _{3}+\cdots)q^{11}+\cdots\)
8040.2.a.x	$8040$	$2$	8040.a	1.a	$1$	$8$	$8$	$64.200$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(8\)	\(5\)		$+$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+(1-\beta _{1})q^{7}+q^{9}-\beta _{4}q^{11}+\cdots\)