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Results (3 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	13
4563.2.a.bk	$4563$	$2$	4563.a	1.a	$1$	$8$	$8$	$36.436$	8.8.\(\cdots\).1	None	✓				351.2.q.g	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
4563.2.a.bl	$4563$	$2$	4563.a	1.a	$1$	$8$	$8$	$36.436$	8.8.\(\cdots\).1	None	✓				351.2.q.g	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
4563.2.a.bm	$4563$	$2$	4563.a	1.a	$1$	$8$	$8$	$36.436$	8.8.\(\cdots\).6	None	✓				351.2.q.h	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{2}+(2-\beta _{4})q^{4}-\beta _{5}q^{5}+\beta _{2}q^{7}+\cdots\)