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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	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
15.12.a.a	$15$	$12$	15.a	1.a	$1$	$1$	$1$	$11.525$	\(\Q\)	None	✓	$1$	$1$	\(-56\)	\(-243\)	\(3125\)	\(27984\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-56q^{2}-3^{5}q^{3}+1088q^{4}+5^{5}q^{5}+\cdots\)
15.12.a.b	$15$	$12$	15.a	1.a	$1$	$2$	$2$	$11.525$	\(\Q(\sqrt{1609}) \)	None	✓	$1$	$1$	\(-22\)	\(486\)	\(-6250\)	\(-10864\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-11-\beta )q^{2}+3^{5}q^{3}+(-318+22\beta )q^{4}+\cdots\)

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