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The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
35.10.a.a	$35$	$10$	35.a	1.a	$1$	$1$	$1$	$18.026$	\(\Q\)	None	✓	✓			35.10.a.a	$1$	$1$	\(28\)	\(-116\)	\(625\)	\(2401\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+28q^{2}-116q^{3}+272q^{4}+5^{4}q^{5}+\cdots\)
35.10.a.b	$35$	$10$	35.a	1.a	$1$	$2$	$2$	$18.026$	\(\Q(\sqrt{2}) \)	None	✓	✓	✓		35.10.a.b	$1$	$1$	\(-24\)	\(-174\)	\(1250\)	\(4802\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-12+\beta )q^{2}+(-87+54\beta )q^{3}+\cdots\)

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