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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 (3 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	29	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
435.4.a.a	$435$	$4$	435.a	1.a	$1$	$1$	$1$	$25.666$	\(\Q\)	None	✓	✓			435.4.a.a	$1$	$0$	\(-2\)	\(-3\)	\(5\)	\(29\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}-4q^{4}+5q^{5}+6q^{6}+\cdots\)
435.4.a.c	$435$	$4$	435.a	1.a	$1$	$1$	$1$	$25.666$	\(\Q\)	None	✓	✓			435.4.a.c	$1$	$0$	\(5\)	\(-3\)	\(5\)	\(16\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{2}-3q^{3}+17q^{4}+5q^{5}-15q^{6}+\cdots\)
435.4.a.i	$435$	$4$	435.a	1.a	$1$	$7$	$7$	$25.666$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓	✓		435.4.a.i	$1$	$0$	\(-2\)	\(-21\)	\(35\)	\(-50\)		$+$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(3+\beta _{1}+\beta _{2})q^{4}+\cdots\)

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