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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is twist minimal	Is self-dual

\(Nk^2\)	Coefficient ring index	Coefficient ring gens.	Projective image	Projective image type

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Results (13 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	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	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2730.2.a.a	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.a	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2730.2.a.d	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.d	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(1\)		$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2730.2.a.e	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.e	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(1\)		$+$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
2730.2.a.h	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.h	$1$	$1$	\(-1\)	\(-1\)	\(1\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2730.2.a.i	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.i	$1$	$1$	\(-1\)	\(-1\)	\(1\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
2730.2.a.n	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.n	$1$	$1$	\(-1\)	\(1\)	\(-1\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)
2730.2.a.r	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.r	$1$	$1$	\(1\)	\(-1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
2730.2.a.v	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.v	$1$	$1$	\(1\)	\(-1\)	\(1\)	\(-1\)		$-$	$+$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2730.2.a.x	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.x	$1$	$1$	\(1\)	\(-1\)	\(1\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
2730.2.a.y	$2730$	$2$	2730.a	1.a	$1$	$1$	$1$	$21.799$	\(\Q\)	None	✓	✓	2730.2.a.y	$1$	$1$	\(1\)	\(1\)	\(-1\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
2730.2.a.be	$2730$	$2$	2730.a	1.a	$1$	$2$	$2$	$21.799$	\(\Q(\sqrt{2}) \)	None	✓	✓	2730.2.a.be	$1$	$1$	\(-2\)	\(-2\)	\(2\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
2730.2.a.bf	$2730$	$2$	2730.a	1.a	$1$	$2$	$2$	$21.799$	\(\Q(\sqrt{5}) \)	None	✓	✓	2730.2.a.bf	$1$	$1$	\(-2\)	\(2\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
2730.2.a.bi	$2730$	$2$	2730.a	1.a	$1$	$2$	$2$	$21.799$	\(\Q(\sqrt{3}) \)	None	✓	✓	2730.2.a.bi	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(2\)		$-$	$+$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots\)

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