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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 (18 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.b	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	\(\Q\)	None	✓	?				$-1$		\(-2\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-2q^{7}-2q^{10}+\cdots\)
16245.2.a.e	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	\(\Q\)	None	✓	?				$-1$		\(-1\)	\(0\)	\(1\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+q^{5}+2q^{7}+3q^{8}-q^{10}+\cdots\)
16245.2.a.i	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	\(\Q\)	None	✓	?				$-1$		\(0\)	\(0\)	\(1\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+q^{5}-4q^{7}-3q^{11}+2q^{13}+\cdots\)
16245.2.a.l	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	\(\Q\)	None	✓	?				$-1$		\(1\)	\(0\)	\(1\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+q^{5}+2q^{7}-3q^{8}+q^{10}+\cdots\)
16245.2.a.m	$16245$	$2$	16245.a	1.a	$1$	$1$	$1$	$129.717$	\(\Q\)	None	✓	?				$-1$		\(2\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+q^{5}-2q^{7}+2q^{10}+\cdots\)
16245.2.a.p	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(-2\)	\(0\)	\(2\)	\(-2\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.q	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	\(\Q(\sqrt{2}) \)	None	✓	?				$-1$		\(-2\)	\(0\)	\(2\)	\(-2\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.t	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	\(\Q(\sqrt{5}) \)	not computed	✓	?				$-1$		\(0\)	\(0\)	\(2\)	\(-4\)		$-$	$-$	$+$	$+$
16245.2.a.v	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	\(\Q(\sqrt{5}) \)	None	✓	?				$-1$		\(1\)	\(0\)	\(2\)	\(6\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.w	$16245$	$2$	16245.a	1.a	$1$	$2$	$2$	$129.717$	\(\Q(\sqrt{17}) \)	None	✓	?				$-1$		\(2\)	\(0\)	\(2\)	\(-2\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.be	$16245$	$2$	16245.a	1.a	$1$	$3$	$3$	$129.717$	3.3.361.1	None	✓	?				$-1$		\(-1\)	\(0\)	\(3\)	\(2\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.bn	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	\(\Q(\zeta_{20})^+\)	not computed	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(2\)		$-$	$-$	$+$	$+$
16245.2.a.bo	$16245$	$2$	16245.a	1.a	$1$	$4$	$4$	$129.717$	\(\Q(\zeta_{20})^+\)	not computed	✓	?				$-1$		\(0\)	\(0\)	\(4\)	\(-8\)		$-$	$-$	$+$	$+$
16245.2.a.cn	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(-3\)	\(0\)	\(9\)	\(-6\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.co	$16245$	$2$	16245.a	1.a	$1$	$9$	$9$	$129.717$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	?				$-1$		\(0\)	\(0\)	\(9\)	\(0\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.ct	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	?				$-1$		\(-4\)	\(0\)	\(12\)	\(-10\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.cu	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	?				$-1$		\(-3\)	\(0\)	\(12\)	\(6\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$
16245.2.a.db	$16245$	$2$	16245.a	1.a	$1$	$12$	$12$	$129.717$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	?				$-1$		\(4\)	\(0\)	\(12\)	\(-10\)		$-$	$-$	$+$	$+$		$\mathrm{SU}(2)$

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