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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
576.2.a.a	$576$	$2$	576.a	1.a	$1$	$1$	$1$	$4.599$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓				288.2.a.a	$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-4q^{5}+6q^{13}+8q^{17}+11q^{25}+\cdots\)
576.2.a.f	$576$	$2$	576.a	1.a	$1$	$1$	$1$	$4.599$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓				36.2.a.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+4q^{7}-2q^{13}+8q^{19}-5q^{25}+4q^{31}+\cdots\)
576.2.a.i	$576$	$2$	576.a	1.a	$1$	$1$	$1$	$4.599$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓				288.2.a.a	$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+4q^{5}+6q^{13}-8q^{17}+11q^{25}+\cdots\)

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