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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
272.10.a.k	$272$	$10$	272.a	1.a	$1$	$9$	$9$	$140.090$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(314\)	\(-1426\)	\(10754\)		$+$	$-$	$-$	$2^{30}\cdot 3$	$\mathrm{SU}(2)$	\(q+(35+\beta _{1})q^{3}+(-158+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
272.10.a.l	$272$	$10$	272.a	1.a	$1$	$10$	$10$	$140.090$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(10\)	\(2676\)	\(-4850\)		$+$	$-$	$-$	$2^{38}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(268+\beta _{2})q^{5}+(-485+\cdots)q^{7}+\cdots\)

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