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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	7	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4788.2.a.i	$4788$	$2$	4788.a	1.a	$1$	$2$	$2$	$38.232$	\(\Q(\sqrt{3}) \)	None	✓	✓			4788.2.a.i	$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{7}-\beta q^{11}-4q^{13}-2\beta q^{17}+q^{19}+\cdots\)
4788.2.a.s	$4788$	$2$	4788.a	1.a	$1$	$4$	$4$	$38.232$	4.4.32448.1	None	✓	✓	✓		4788.2.a.s	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+q^{7}+(\beta _{1}+\beta _{2})q^{11}+(3-\beta _{3})q^{13}+\cdots\)

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