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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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Results (3 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
18.16.a.a	$18$	$16$	18.a	1.a	$1$	$1$	$1$	$25.685$	\(\Q\)	None	✓				6.16.a.c	$1$	$1$	\(-128\)	\(0\)	\(-77646\)	\(762104\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2^{7}q^{2}+2^{14}q^{4}-77646q^{5}+762104q^{7}+\cdots\)
18.16.a.b	$18$	$16$	18.a	1.a	$1$	$1$	$1$	$25.685$	\(\Q\)	None	✓				6.16.a.b	$1$	$1$	\(-128\)	\(0\)	\(114810\)	\(-3034528\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2^{7}q^{2}+2^{14}q^{4}+114810q^{5}-3034528q^{7}+\cdots\)
18.16.a.d	$18$	$16$	18.a	1.a	$1$	$1$	$1$	$25.685$	\(\Q\)	None	✓	✓	✓	✓	18.16.a.c	$1$	$1$	\(128\)	\(0\)	\(-263040\)	\(3585764\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{7}q^{2}+2^{14}q^{4}-263040q^{5}+3585764q^{7}+\cdots\)

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