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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 (3 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	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
768.2.a.a	$768$	$2$	768.a	1.a	$1$	$1$	$1$	$6.133$	\(\Q\)	None	✓				24.2.d.a	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+2q^{7}+q^{9}-4q^{13}+\cdots\)
768.2.a.b	$768$	$2$	768.a	1.a	$1$	$1$	$1$	$6.133$	\(\Q\)	None	✓				384.2.d.a	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
768.2.a.i	$768$	$2$	768.a	1.a	$1$	$2$	$2$	$6.133$	\(\Q(\sqrt{2}) \)	None	✓		✓		384.2.d.c	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}-\beta q^{7}+q^{9}-4q^{11}+\cdots\)

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