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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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
112.10.a.i	$112$	$10$	112.a	1.a	$1$	$3$	$3$	$57.684$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(92\)	\(274\)	\(7203\)		$+$	$-$	$-$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q+(31+\beta _{1})q^{3}+(92+\beta _{1}-\beta _{2})q^{5}+\cdots\)
112.10.a.j	$112$	$10$	112.a	1.a	$1$	$4$	$4$	$57.684$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-84\)	\(1540\)	\(9604\)		$+$	$-$	$-$	$2^{13}\cdot 3^{3}\cdot 17$	$\mathrm{SU}(2)$	\(q+(-21+\beta _{1})q^{3}+(385-2\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)

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