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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 (4 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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
98.8.a.c	$98$	$8$	98.a	1.a	$1$	$1$	$1$	$30.614$	\(\Q\)	None	✓				14.8.a.b	$1$	$0$	\(8\)	\(66\)	\(400\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{2}+66q^{3}+2^{6}q^{4}+20^{2}q^{5}+\cdots\)
98.8.a.g	$98$	$8$	98.a	1.a	$1$	$2$	$2$	$30.614$	\(\Q(\sqrt{1969}) \)	None	✓				14.8.a.c	$1$	$0$	\(16\)	\(-70\)	\(-126\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+8q^{2}+(-35-\beta )q^{3}+2^{6}q^{4}+(-63+\cdots)q^{5}+\cdots\)
98.8.a.j	$98$	$8$	98.a	1.a	$1$	$2$	$2$	$30.614$	\(\Q(\sqrt{37}) \)	None	✓	✓			98.8.a.j	$2$	$0$	\(16\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+8q^{2}-\beta q^{3}+2^{6}q^{4}-5\beta q^{5}-8\beta q^{6}+\cdots\)
98.8.a.k	$98$	$8$	98.a	1.a	$1$	$2$	$2$	$30.614$	\(\Q(\sqrt{2389}) \)	None	✓				14.8.c.a	$1$	$0$	\(16\)	\(56\)	\(238\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+8q^{2}+(28-\beta )q^{3}+2^{6}q^{4}+(119+\cdots)q^{5}+\cdots\)

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