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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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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
476.2.a.a	$476$	$2$	476.a	1.a	$1$	$2$	$2$	$3.801$	\(\Q(\sqrt{13}) \)	None	✓	✓	✓	✓	476.2.a.a	$1$	$1$	\(0\)	\(-3\)	\(-3\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-2+\beta )q^{5}+q^{7}+\cdots\)
476.2.a.b	$476$	$2$	476.a	1.a	$1$	$2$	$2$	$3.801$	\(\Q(\sqrt{5}) \)	None	✓	✓	✓	✓	476.2.a.b	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(-1+\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots\)

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