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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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
21.10.a.a	$21$	$10$	21.a	1.a	$1$	$1$	$1$	$10.816$	\(\Q\)	None	✓	$1$	$1$	\(-24\)	\(81\)	\(-144\)	\(2401\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-24q^{2}+3^{4}q^{3}+2^{6}q^{4}-12^{2}q^{5}+\cdots\)
21.10.a.b	$21$	$10$	21.a	1.a	$1$	$2$	$2$	$10.816$	\(\Q(\sqrt{2353}) \)	None	✓	$1$	$1$	\(9\)	\(-162\)	\(1170\)	\(-4802\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(5-\beta )q^{2}-3^{4}q^{3}+(101-9\beta )q^{4}+\cdots\)

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