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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	71	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4544.2.a.be	$4544$	$2$	4544.a	1.a	$1$	$5$	$5$	$36.284$	5.5.2373841.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-7\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{3})q^{5}+\beta _{4}q^{7}+(1+\cdots)q^{9}+\cdots\)
4544.2.a.bf	$4544$	$2$	4544.a	1.a	$1$	$5$	$5$	$36.284$	5.5.2373841.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-7\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1+\beta _{3})q^{5}-\beta _{4}q^{7}+(1+\cdots)q^{9}+\cdots\)

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