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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
252.4.a.a	$252$	$4$	252.a	1.a	$1$	$1$	$1$	$14.868$	\(\Q\)	None	✓				84.4.a.b	$1$	$0$	\(0\)	\(0\)	\(-14\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-14q^{5}-7q^{7}-4q^{11}+54q^{13}+\cdots\)
252.4.a.d	$252$	$4$	252.a	1.a	$1$	$1$	$1$	$14.868$	\(\Q\)	None	✓				28.4.a.a	$1$	$0$	\(0\)	\(0\)	\(8\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{5}-7q^{7}+40q^{11}-12q^{13}+\cdots\)

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