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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
18.16.a.e	$18$	$16$	18.a	1.a	$1$	$1$	$1$	$25.685$	\(\Q\)	None	✓				2.16.a.a	$1$	$0$	\(128\)	\(0\)	\(-90510\)	\(56\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{7}q^{2}+2^{14}q^{4}-90510q^{5}+56q^{7}+\cdots\)
18.16.a.f	$18$	$16$	18.a	1.a	$1$	$1$	$1$	$25.685$	\(\Q\)	None	✓				6.16.a.a	$1$	$0$	\(128\)	\(0\)	\(314490\)	\(2025056\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{7}q^{2}+2^{14}q^{4}+314490q^{5}+2025056q^{7}+\cdots\)

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