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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 (14 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	3	5	89	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8010.2.a.a	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				2670.2.a.e	$1$	$0$	\(-1\)	\(0\)	\(-1\)	\(-4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
8010.2.a.b	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				2670.2.a.c	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(-2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
8010.2.a.c	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				890.2.a.g	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(-2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
8010.2.a.d	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				2670.2.a.f	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots\)
8010.2.a.e	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				2670.2.a.d	$1$	$0$	\(-1\)	\(0\)	\(-1\)	\(4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots\)
8010.2.a.f	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				890.2.a.h	$1$	$0$	\(-1\)	\(0\)	\(-1\)	\(4\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots\)
8010.2.a.g	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				890.2.a.f	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-3q^{11}+\cdots\)
8010.2.a.h	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				890.2.a.d	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(-4\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots\)
8010.2.a.i	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				890.2.a.b	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
8010.2.a.j	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				2670.2.a.b	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-4\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
8010.2.a.k	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				890.2.a.a	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots\)
8010.2.a.l	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				2670.2.a.a	$1$	$1$	\(1\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+q^{16}+\cdots\)
8010.2.a.m	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				890.2.a.c	$1$	$1$	\(1\)	\(0\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots\)
8010.2.a.n	$8010$	$2$	8010.a	1.a	$1$	$1$	$1$	$63.960$	\(\Q\)	None	✓				890.2.a.e	$1$	$0$	\(1\)	\(0\)	\(1\)	\(4\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots\)

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