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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	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
80.10.a.g	$80$	$10$	80.a	1.a	$1$	$2$	$2$	$41.203$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$1$	\(0\)	\(-108\)	\(-1250\)	\(908\)		$+$	$+$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-54+\beta )q^{3}-5^{4}q^{5}+(454+13\beta )q^{7}+\cdots\)
80.10.a.i	$80$	$10$	80.a	1.a	$1$	$2$	$2$	$41.203$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$1$	\(0\)	\(116\)	\(-1250\)	\(-11284\)		$+$	$+$	$+$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(58+\beta )q^{3}-5^{4}q^{5}+(-5642-35\beta )q^{7}+\cdots\)

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