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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	59	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
177.8.a.c	$177$	$8$	177.a	1.a	$1$	$17$	$17$	$55.292$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(-459\)	\(-318\)	\(3145\)		$+$	$+$	$+$	$2^{10}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3^{3}q^{3}+(68+\beta _{1}+\beta _{2})q^{4}+\cdots\)
177.8.a.d	$177$	$8$	177.a	1.a	$1$	$18$	$18$	$55.292$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(24\)	\(486\)	\(678\)	\(3081\)		$-$	$-$	$+$	$2^{12}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+3^{3}q^{3}+(75+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)

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