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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.a	$98$	$8$	98.a	1.a	$1$	$1$	$1$	$30.614$	\(\Q\)	None	✓				2.8.a.a	$1$	$1$	\(-8\)	\(-12\)	\(210\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}-12q^{3}+2^{6}q^{4}+210q^{5}+\cdots\)
98.8.a.b	$98$	$8$	98.a	1.a	$1$	$1$	$1$	$30.614$	\(\Q\)	None	✓				14.8.a.a	$1$	$1$	\(-8\)	\(82\)	\(-448\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-8q^{2}+82q^{3}+2^{6}q^{4}-448q^{5}+\cdots\)
98.8.a.d	$98$	$8$	98.a	1.a	$1$	$2$	$2$	$30.614$	\(\Q(\sqrt{949}) \)	None	✓				14.8.c.b	$1$	$1$	\(-16\)	\(-56\)	\(14\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-8q^{2}+(-28-\beta )q^{3}+2^{6}q^{4}+(7+\cdots)q^{5}+\cdots\)
98.8.a.e	$98$	$8$	98.a	1.a	$1$	$2$	$2$	$30.614$	\(\Q(\sqrt{22}) \)	None	✓	✓			98.8.a.e	$2$	$1$	\(-16\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-8q^{2}+3\beta q^{3}+2^{6}q^{4}+7\beta q^{5}-24\beta q^{6}+\cdots\)

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