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The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

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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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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
363.2.a.d	$363$	$2$	363.a	1.a	$1$	$2$	$2$	$2.899$	\(\Q(\sqrt{5}) \)	None	✓				33.2.e.b	$1$	$1$	\(-3\)	\(-2\)	\(1\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(1-\beta )q^{5}+\cdots\)
363.2.a.f	$363$	$2$	363.a	1.a	$1$	$2$	$2$	$2.899$	\(\Q(\sqrt{3}) \)	None	✓	✓			363.2.a.f	$2$	$1$	\(0\)	\(-2\)	\(-6\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+q^{4}-3q^{5}-\beta q^{6}-2\beta q^{7}+\cdots\)

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