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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
35.4.a.b	$35$	$4$	35.a	1.a	$1$	$2$	$2$	$2.065$	\(\Q(\sqrt{2}) \)	None	✓	✓	✓	✓	35.4.a.b	$1$	$0$	\(8\)	\(2\)	\(-10\)	\(-14\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{2}+(1-4\beta )q^{3}+(10+8\beta )q^{4}+\cdots\)
35.4.a.c	$35$	$4$	35.a	1.a	$1$	$3$	$3$	$2.065$	3.3.14360.1	None	✓	✓	✓	✓	35.4.a.c	$1$	$0$	\(-3\)	\(2\)	\(15\)	\(21\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(1+\beta _{1}-\beta _{2})q^{3}+\cdots\)

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