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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 (5 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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
704.2.a.b	$704$	$2$	704.a	1.a	$1$	$1$	$1$	$5.621$	\(\Q\)	None	✓				88.2.a.a	$1$	$0$	\(0\)	\(-3\)	\(3\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+3q^{5}+2q^{7}+6q^{9}-q^{11}+\cdots\)
704.2.a.d	$704$	$2$	704.a	1.a	$1$	$1$	$1$	$5.621$	\(\Q\)	None	✓				352.2.a.c	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+4q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots\)
704.2.a.i	$704$	$2$	704.a	1.a	$1$	$1$	$1$	$5.621$	\(\Q\)	None	✓				44.2.a.a	$1$	$0$	\(0\)	\(1\)	\(3\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}-2q^{7}-2q^{9}-q^{11}+\cdots\)
704.2.a.k	$704$	$2$	704.a	1.a	$1$	$1$	$1$	$5.621$	\(\Q\)	None	✓				352.2.a.a	$1$	$0$	\(0\)	\(3\)	\(-1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{5}+6q^{9}-q^{11}+6q^{13}+\cdots\)
704.2.a.p	$704$	$2$	704.a	1.a	$1$	$2$	$2$	$5.621$	\(\Q(\sqrt{17}) \)	None	✓		✓		88.2.a.b	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-2+\beta )q^{5}+2\beta q^{7}+(1+\beta )q^{9}+\cdots\)

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