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The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000

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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 (4 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	13	43	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5031.2.a.a	$5031$	$2$	5031.a	1.a	$1$	$1$	$1$	$40.173$	\(\Q\)	None	✓	✓			5031.2.a.a	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+2q^{5}+3q^{8}-2q^{10}+\cdots\)
5031.2.a.b	$5031$	$2$	5031.a	1.a	$1$	$1$	$1$	$40.173$	\(\Q\)	None	✓	✓			5031.2.a.a	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-2q^{5}-3q^{8}-2q^{10}+\cdots\)
5031.2.a.c	$5031$	$2$	5031.a	1.a	$1$	$1$	$1$	$40.173$	\(\Q\)	None	✓				1677.2.a.b	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-2q^{5}-3q^{8}-2q^{10}+\cdots\)
5031.2.a.d	$5031$	$2$	5031.a	1.a	$1$	$1$	$1$	$40.173$	\(\Q\)	None	✓				1677.2.a.a	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-2q^{5}+2q^{7}-3q^{8}-2q^{10}+\cdots\)

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