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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	29	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
435.4.a.e	$435$	$4$	435.a	1.a	$1$	$2$	$2$	$25.666$	\(\Q(\sqrt{34}) \)	None	✓	✓			435.4.a.e	$1$	$0$	\(0\)	\(6\)	\(-10\)	\(0\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}-8q^{4}-5q^{5}+\beta q^{7}+9q^{9}+\cdots\)
435.4.a.h	$435$	$4$	435.a	1.a	$1$	$6$	$6$	$25.666$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓	✓		435.4.a.h	$1$	$0$	\(1\)	\(18\)	\(-30\)	\(47\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(8+\beta _{1}+\beta _{2})q^{4}+\cdots\)

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