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	3	7	191
8022.2.a.k	$8022$	$2$	8022.a	1.a	$1$	$2$	$2$	$64.056$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(3\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
8022.2.a.u	$8022$	$2$	8022.a	1.a	$1$	$11$	$11$	$64.056$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(11\)	\(-11\)	\(-8\)	\(-11\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1+\beta _{4})q^{5}-q^{6}+\cdots\)