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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	31	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
465.2.a.e	$465$	$2$	465.a	1.a	$1$	$3$	$3$	$3.713$	3.3.564.1	None	✓	✓	✓	✓	465.2.a.e	$1$	$0$	\(1\)	\(-3\)	\(-3\)	\(8\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
465.2.a.f	$465$	$2$	465.a	1.a	$1$	$3$	$3$	$3.713$	3.3.148.1	None	✓	✓	✓	✓	465.2.a.f	$1$	$0$	\(1\)	\(3\)	\(3\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
465.2.a.g	$465$	$2$	465.a	1.a	$1$	$3$	$3$	$3.713$	3.3.148.1	None	✓	✓	✓	✓	465.2.a.g	$1$	$0$	\(3\)	\(3\)	\(-3\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
465.2.a.h	$465$	$2$	465.a	1.a	$1$	$4$	$4$	$3.713$	4.4.8468.1	None	✓	✓	✓	✓	465.2.a.h	$1$	$0$	\(2\)	\(-4\)	\(4\)	\(4\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}-q^{3}+(2-\beta _{1})q^{4}+q^{5}+\beta _{2}q^{6}+\cdots\)

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