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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 (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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	29	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
290.2.a.b	$290$	$2$	290.a	1.a	$1$	$2$	$2$	$2.316$	\(\Q(\sqrt{13}) \)	None	✓	✓	✓	✓	290.2.a.b	$1$	$0$	\(-2\)	\(1\)	\(-2\)	\(5\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
290.2.a.c	$290$	$2$	290.a	1.a	$1$	$2$	$2$	$2.316$	\(\Q(\sqrt{13}) \)	None	✓	✓	✓	✓	290.2.a.c	$1$	$0$	\(-2\)	\(1\)	\(2\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
290.2.a.d	$290$	$2$	290.a	1.a	$1$	$3$	$3$	$2.316$	3.3.469.1	None	✓	✓	✓	✓	290.2.a.d	$1$	$0$	\(3\)	\(-1\)	\(3\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{2}q^{3}+q^{4}+q^{5}+\beta _{2}q^{6}+\cdots\)
290.2.a.e	$290$	$2$	290.a	1.a	$1$	$3$	$3$	$2.316$	3.3.621.1	None	✓	✓	✓	✓	290.2.a.e	$1$	$0$	\(3\)	\(3\)	\(-3\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}-q^{5}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)

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