Newform search results

Results (displaying both matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	7
8820.2.a.br	$8820$	$2$	8820.a	1.a	$1$	$4$	$4$	$70.428$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	✓	✓		8820.2.a.br	$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-q^{5}+(\beta _{1}+\beta _{2})q^{11}+(-\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots\)
8820.2.a.bs	$8820$	$2$	8820.a	1.a	$1$	$4$	$4$	$70.428$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	✓	✓		8820.2.a.br	$2$	$1$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$-$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+q^{5}+(\beta _{1}+\beta _{2})q^{11}+(\beta _{1}-\beta _{2})q^{13}+\cdots\)