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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1058.4.a.p	$1058$	$4$	1058.a	1.a	$1$	$6$	$6$	$62.424$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓			1058.4.a.p	$2$	$0$	\(-12\)	\(12\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+(2+\beta _{2})q^{3}+4q^{4}+(4\beta _{3}+\beta _{5})q^{5}+\cdots\)
1058.4.a.s	$1058$	$4$	1058.a	1.a	$1$	$12$	$12$	$62.424$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	✓			1058.4.a.s	$2$	$0$	\(-24\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-\beta _{1}+\beta _{2})q^{3}+4q^{4}+(\beta _{7}+\cdots)q^{5}+\cdots\)
1058.4.a.u	$1058$	$4$	1058.a	1.a	$1$	$15$	$15$	$62.424$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓		✓		46.4.c.b	$1$	$0$	\(-30\)	\(1\)	\(0\)	\(80\)		$+$	$+$	$+$	$23^{4}$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{4}q^{3}+4q^{4}+\beta _{7}q^{5}-2\beta _{4}q^{6}+\cdots\)

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