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Results (7 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.v	$4563$	$2$	4563.a	1.a	$1$	$4$	$4$	$36.436$	\(\Q(\zeta_{24})^+\)	None	✓				351.2.q.f	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}-\beta _{2}q^{5}+\beta _{1}q^{7}+2\beta _{2}q^{8}+\cdots\)
4563.2.a.w	$4563$	$2$	4563.a	1.a	$1$	$4$	$4$	$36.436$	4.4.8112.1	None	✓				351.2.b.d	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
4563.2.a.x	$4563$	$2$	4563.a	1.a	$1$	$4$	$4$	$36.436$	4.4.8112.1	None	✓				351.2.b.d	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
4563.2.a.y	$4563$	$2$	4563.a	1.a	$1$	$4$	$4$	$36.436$	4.4.8112.1	\(\Q(\sqrt{-39}) \)	✓				351.2.b.c	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\beta _{3}q^{8}+\cdots\)
4563.2.a.z	$4563$	$2$	4563.a	1.a	$1$	$4$	$4$	$36.436$	4.4.65712.1	None	✓				351.2.a.e	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{3}q^{5}-2q^{7}+\cdots\)
4563.2.a.ba	$4563$	$2$	4563.a	1.a	$1$	$4$	$4$	$36.436$	4.4.7600.1	None	✓				351.2.a.f	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
4563.2.a.bb	$4563$	$2$	4563.a	1.a	$1$	$4$	$4$	$36.436$	4.4.8112.1	\(\Q(\sqrt{-39}) \)	✓				351.2.b.b	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$3$	$N(\mathrm{U}(1))$	\(q+\beta _{1}q^{2}+(4+\beta _{3})q^{4}-\beta _{2}q^{5}+(2\beta _{1}+\cdots)q^{8}+\cdots\)