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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 (12 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	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
16245.2.a.f	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{5}+2q^{7}+3q^{11}-4q^{13}+\cdots\)
16245.2.a.bd	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		\(-1\)	\(0\)	\(-3\)	\(-4\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.bi	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.148.1	None	✓	?				$-1$		\(1\)	\(0\)	\(-3\)	\(-4\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.bm	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	4.4.7537.1	None	✓	?				$-1$		\(-1\)	\(0\)	\(-4\)	\(-4\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.bp	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	4.4.7168.1	not computed	✓	?				$-1$		\(0\)	\(0\)	\(-4\)	\(8\)		$-$	$+$	$+$	$-$
16245.2.a.bt	$16245$	$2$	16245.a	1.a	$1$	$5$	$5$	$129.717$	5.5.8797896.1	None	✓	?				$-1$		\(1\)	\(0\)	\(-5\)	\(2\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.ch	$16245$	$2$	16245.a	1.a	$1$	$6$	$6$	$129.717$	6.6.1397493.1	None	✓	?				$-1$		\(3\)	\(0\)	\(-6\)	\(-6\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.cm	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(-6\)	\(0\)	\(-9\)	\(0\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.cs	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	?				$-1$		\(-4\)	\(0\)	\(-12\)	\(-6\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.da	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	?				$-1$		\(4\)	\(0\)	\(-12\)	\(-6\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.dd	$16245$	$2$	16245.a	1.a	$1$	$15$	$15$	$129.717$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	?				$-1$		\(3\)	\(0\)	\(-15\)	\(6\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$
16245.2.a.de	$16245$	$2$	16245.a	1.a	$1$	$16$	$16$	$129.717$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	not computed	✓	?	✓			$-1$		\(0\)	\(0\)	\(-16\)	\(22\)		$-$	$+$	$+$	$-$

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