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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	3	13	103	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8034.2.a.l	$8034$	$2$	8034.a	1.a	$1$	$2$	$2$	$64.152$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-4\)	\(3\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+(1+\beta )q^{7}+\cdots\)
8034.2.a.s	$8034$	$2$	8034.a	1.a	$1$	$10$	$10$	$64.152$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-10\)	\(-10\)	\(6\)	\(-9\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(1+\beta _{8})q^{5}+q^{6}+\cdots\)

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