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Results (14 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7	67
8442.2.a.f	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-5\)	\(-2\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-2-\beta )q^{5}-q^{7}-q^{8}+\cdots\)
8442.2.a.g	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{69}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
8442.2.a.h	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-1\)	\(2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1-3\beta )q^{5}+q^{7}-q^{8}+\cdots\)
8442.2.a.i	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(1\)	\(2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(-1+3\beta )q^{5}+q^{7}-q^{8}+\cdots\)
8442.2.a.j	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
8442.2.a.k	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1+\beta )q^{5}+q^{7}-q^{8}+\cdots\)
8442.2.a.l	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(4\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+(1+2\beta )q^{5}+q^{7}-q^{8}+\cdots\)
8442.2.a.m	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(6\)	\(2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots\)
8442.2.a.n	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-6\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots\)
8442.2.a.o	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots\)
8442.2.a.p	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(1-3\beta )q^{5}+q^{7}+q^{8}+\cdots\)
8442.2.a.q	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta q^{5}+q^{7}+q^{8}+\beta q^{10}+\cdots\)
8442.2.a.r	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}+q^{10}+\cdots\)
8442.2.a.s	$8442$	$2$	8442.a	1.a	$1$	$2$	$2$	$67.410$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(5\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(3-\beta )q^{5}-q^{7}+q^{8}+\cdots\)