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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (4 matches)

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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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
63.6.a.a	$63$	$6$	63.a	1.a	$1$	$1$	$1$	$10.104$	\(\Q\)	None	✓				21.6.a.d	$1$	$0$	\(-10\)	\(0\)	\(106\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-10q^{2}+68q^{4}+106q^{5}-7^{2}q^{7}+\cdots\)
63.6.a.b	$63$	$6$	63.a	1.a	$1$	$1$	$1$	$10.104$	\(\Q\)	None	✓				21.6.a.c	$1$	$0$	\(-5\)	\(0\)	\(-94\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{2}-7q^{4}-94q^{5}-7^{2}q^{7}+195q^{8}+\cdots\)
63.6.a.c	$63$	$6$	63.a	1.a	$1$	$1$	$1$	$10.104$	\(\Q\)	None	✓				21.6.a.b	$1$	$0$	\(-1\)	\(0\)	\(34\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-31q^{4}+34q^{5}-7^{2}q^{7}+63q^{8}+\cdots\)
63.6.a.e	$63$	$6$	63.a	1.a	$1$	$1$	$1$	$10.104$	\(\Q\)	None	✓				7.6.a.a	$1$	$0$	\(10\)	\(0\)	\(56\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+10q^{2}+68q^{4}+56q^{5}-7^{2}q^{7}+\cdots\)

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