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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
15.10.a.c	$15$	$10$	15.a	1.a	$1$	$2$	$2$	$7.726$	\(\Q(\sqrt{4729}) \)	None	✓	$1$	$0$	\(19\)	\(162\)	\(-1250\)	\(-11872\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(10-\beta )q^{2}+3^{4}q^{3}+(770-19\beta )q^{4}+\cdots\)
15.10.a.d	$15$	$10$	15.a	1.a	$1$	$2$	$2$	$7.726$	\(\Q(\sqrt{241}) \)	None	✓	$1$	$0$	\(31\)	\(-162\)	\(1250\)	\(14112\)		$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+(15-\beta )q^{2}-3^{4}q^{3}+(255-31\beta )q^{4}+\cdots\)

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