Newform search results

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	223
8028.2.a.o	$8028$	$2$	8028.a	1.a	$1$	$16$	$16$	$64.104$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}-\beta _{4}q^{7}+\beta _{15}q^{11}+(-1+\cdots)q^{13}+\cdots\)
8028.2.a.p	$8028$	$2$	8028.a	1.a	$1$	$16$	$16$	$64.104$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(22\)		$-$	$+$	$+$	$-$	$7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+(1-\beta _{7})q^{7}+\beta _{9}q^{11}+(1+\cdots)q^{13}+\cdots\)