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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	359	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1077.2.a.e	$1077$	$2$	1077.a	1.a	$1$	$2$	$2$	$8.600$	\(\Q(\sqrt{5}) \)	None	✓	✓			1077.2.a.e	$1$	$1$	\(-1\)	\(-2\)	\(-3\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
1077.2.a.i	$1077$	$2$	1077.a	1.a	$1$	$10$	$10$	$8.600$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓	✓		1077.2.a.i	$1$	$1$	\(0\)	\(-10\)	\(6\)	\(-11\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{7}+\cdots)q^{5}+\cdots\)

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