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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	5	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1560.4.a.a	$1560$	$4$	1560.a	1.a	$1$	$1$	$1$	$92.043$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-5\)	\(-18\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-5q^{5}-18q^{7}+9q^{9}+28q^{11}+\cdots\)
1560.4.a.g	$1560$	$4$	1560.a	1.a	$1$	$3$	$3$	$92.043$	3.3.18257.1	None	✓	$1$	$0$	\(0\)	\(-9\)	\(-15\)	\(29\)		$+$	$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}-5q^{5}+(10+2\beta _{1}-\beta _{2})q^{7}+\cdots\)

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