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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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
608.4.a.h	$608$	$4$	608.a	1.a	$1$	$5$	$5$	$35.873$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	✓			608.4.a.e	$1$	$1$	\(0\)	\(6\)	\(5\)	\(-7\)		$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(1-\beta _{2}+\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
608.4.a.i	$608$	$4$	608.a	1.a	$1$	$7$	$7$	$35.873$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓	✓		608.4.a.i	$1$	$1$	\(0\)	\(-9\)	\(-5\)	\(-28\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(-1+\beta _{5})q^{5}+(-4+\cdots)q^{7}+\cdots\)

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