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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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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	3	31	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5022.2.a.bg	$5022$	$2$	5022.a	1.a	$1$	$10$	$10$	$40.101$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓		✓		558.2.f.g	$1$	$0$	\(-10\)	\(0\)	\(-3\)	\(7\)		$+$	$+$	$-$	$-$	$3^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-\beta _{6}q^{5}+(1+\beta _{7})q^{7}-q^{8}+\cdots\)
5022.2.a.bh	$5022$	$2$	5022.a	1.a	$1$	$10$	$10$	$40.101$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓		✓		558.2.f.g	$1$	$0$	\(10\)	\(0\)	\(3\)	\(7\)		$-$	$-$	$-$	$-$	$3^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta _{6}q^{5}+(1+\beta _{7})q^{7}+q^{8}+\cdots\)

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