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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	5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
70.6.a.b	$70$	$6$	70.a	1.a	$1$	$1$	$1$	$11.227$	\(\Q\)	None	✓	✓	✓	✓	70.6.a.b	$1$	$0$	\(-4\)	\(-9\)	\(25\)	\(-49\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+5^{2}q^{5}+6^{2}q^{6}+\cdots\)
70.6.a.c	$70$	$6$	70.a	1.a	$1$	$1$	$1$	$11.227$	\(\Q\)	None	✓	✓	✓	✓	70.6.a.c	$1$	$0$	\(-4\)	\(-3\)	\(-25\)	\(49\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-3q^{3}+2^{4}q^{4}-5^{2}q^{5}+12q^{6}+\cdots\)
70.6.a.g	$70$	$6$	70.a	1.a	$1$	$2$	$2$	$11.227$	\(\Q(\sqrt{3369}) \)	None	✓	✓	✓	✓	70.6.a.g	$1$	$0$	\(8\)	\(3\)	\(-50\)	\(-98\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+(2-\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)
70.6.a.h	$70$	$6$	70.a	1.a	$1$	$2$	$2$	$11.227$	\(\Q(\sqrt{1129}) \)	None	✓	✓	✓	✓	70.6.a.h	$1$	$0$	\(8\)	\(5\)	\(50\)	\(98\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+(3-\beta )q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots\)

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