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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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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	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
544.2.a.a	$544$	$2$	544.a	1.a	$1$	$1$	$1$	$4.344$	\(\Q\)	None	✓	✓			544.2.a.a	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}-2q^{7}+q^{9}+2q^{11}+\cdots\)
544.2.a.e	$544$	$2$	544.a	1.a	$1$	$1$	$1$	$4.344$	\(\Q\)	None	✓	✓			544.2.a.a	$1$	$0$	\(0\)	\(2\)	\(2\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+2q^{5}+2q^{7}+q^{9}-2q^{11}+\cdots\)
544.2.a.j	$544$	$2$	544.a	1.a	$1$	$3$	$3$	$4.344$	3.3.148.1	None	✓	✓	✓		544.2.a.i	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(2\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(1-\beta _{2})q^{7}+\cdots\)

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