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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (4 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
98.6.a.b	$98$	$6$	98.a	1.a	$1$	$1$	$1$	$15.718$	\(\Q\)	None	✓				14.6.a.b	$1$	$1$	\(4\)	\(-8\)	\(-10\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-8q^{3}+2^{4}q^{4}-10q^{5}-2^{5}q^{6}+\cdots\)
98.6.a.c	$98$	$6$	98.a	1.a	$1$	$2$	$2$	$15.718$	\(\Q(\sqrt{130}) \)	None	✓				14.6.c.b	$1$	$1$	\(-8\)	\(-14\)	\(-42\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}+(-7+\beta )q^{3}+2^{4}q^{4}-21q^{5}+\cdots\)
98.6.a.d	$98$	$6$	98.a	1.a	$1$	$2$	$2$	$15.718$	\(\Q(\sqrt{2}) \)	None	✓	✓			98.6.a.d	$2$	$1$	\(-8\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+6\beta q^{3}+2^{4}q^{4}-7\beta q^{5}-24\beta q^{6}+\cdots\)
98.6.a.g	$98$	$6$	98.a	1.a	$1$	$2$	$2$	$15.718$	\(\Q(\sqrt{79}) \)	None	✓		✓		14.6.c.a	$1$	$1$	\(8\)	\(-14\)	\(-70\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}+(-7+\beta )q^{3}+2^{4}q^{4}+(-35+\cdots)q^{5}+\cdots\)

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