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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.a	$4563$	$2$	4563.a	1.a	$1$	$1$	$1$	$36.436$	\(\Q\)	None	✓				351.2.g.a	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+2q^{5}-q^{7}-4q^{10}+\cdots\)
4563.2.a.b	$4563$	$2$	4563.a	1.a	$1$	$1$	$1$	$36.436$	\(\Q\)	None	✓				351.2.g.a	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+2q^{5}+q^{7}-4q^{10}+\cdots\)
4563.2.a.c	$4563$	$2$	4563.a	1.a	$1$	$1$	$1$	$36.436$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓				351.2.g.b	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-q^{7}+4q^{16}-q^{19}-5q^{25}+\cdots\)
4563.2.a.d	$4563$	$2$	4563.a	1.a	$1$	$1$	$1$	$36.436$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓				351.2.g.b	$2$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+q^{7}+4q^{16}+q^{19}-5q^{25}+\cdots\)
4563.2.a.e	$4563$	$2$	4563.a	1.a	$1$	$1$	$1$	$36.436$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓				27.2.a.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+q^{7}+4q^{16}+7q^{19}-5q^{25}+\cdots\)
4563.2.a.f	$4563$	$2$	4563.a	1.a	$1$	$1$	$1$	$36.436$	\(\Q\)	None	✓				351.2.g.a	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-2q^{5}-q^{7}-4q^{10}+\cdots\)
4563.2.a.g	$4563$	$2$	4563.a	1.a	$1$	$1$	$1$	$36.436$	\(\Q\)	None	✓				351.2.g.a	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-2q^{5}+q^{7}-4q^{10}+\cdots\)