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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
24.12.a.a	$24$	$12$	24.a	1.a	$1$	$1$	$1$	$18.440$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-243\)	\(-7130\)	\(-19536\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3^{5}q^{3}-7130q^{5}-19536q^{7}+3^{10}q^{9}+\cdots\)
24.12.a.d	$24$	$12$	24.a	1.a	$1$	$2$	$2$	$18.440$	\(\Q(\sqrt{3061}) \)	None	✓	$1$	$0$	\(0\)	\(486\)	\(1564\)	\(37776\)		$-$	$-$	$+$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q+3^{5}q^{3}+(782-\beta )q^{5}+(18888+\beta )q^{7}+\cdots\)

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