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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.o	$1058$	$4$	1058.a	1.a	$1$	$4$	$4$	$62.424$	\(\Q(\sqrt{2}, \sqrt{13})\)	None	✓	✓			1058.4.a.o	$2$	$1$	\(8\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+\beta _{3}q^{3}+4q^{4}+(-5\beta _{1}-6\beta _{2}+\cdots)q^{5}+\cdots\)
1058.4.a.q	$1058$	$4$	1058.a	1.a	$1$	$8$	$8$	$62.424$	8.8.\(\cdots\).1	None	✓	✓			1058.4.a.q	$2$	$1$	\(16\)	\(-24\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+2q^{2}+(-3+\beta _{1}-\beta _{4})q^{3}+4q^{4}+\cdots\)
1058.4.a.v	$1058$	$4$	1058.a	1.a	$1$	$15$	$15$	$62.424$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓		✓		46.4.c.a	$1$	$1$	\(30\)	\(3\)	\(-50\)	\(-84\)		$-$	$+$	$-$	$23^{4}$	$\mathrm{SU}(2)$	\(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+(-3+\beta _{10}+\cdots)q^{5}+\cdots\)

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