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Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1615.1.g.a	$1615$	$1$	1615.g	1615.g	$2$	$1$	$1$	$0.806$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1615}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(1\)	$1$		\(q-q^{2}-q^{5}+q^{7}+q^{8}+q^{9}+q^{10}+\cdots\)
1615.1.g.b	$1615$	$1$	1615.g	1615.g	$2$	$1$	$1$	$0.806$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1615}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(-1\)	$1$		\(q-q^{2}+q^{5}-q^{7}+q^{8}+q^{9}-q^{10}+\cdots\)
1615.1.g.c	$1615$	$1$	1615.g	1615.g	$2$	$1$	$1$	$0.806$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-1615}) \)	\(\Q(\sqrt{85}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)	$1$		\(q-q^{4}-q^{5}-2q^{7}+q^{9}+q^{16}+q^{17}+\cdots\)
1615.1.g.d	$1615$	$1$	1615.g	1615.g	$2$	$1$	$1$	$0.806$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-1615}) \)	\(\Q(\sqrt{85}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(2\)	$1$		\(q-q^{4}+q^{5}+2q^{7}+q^{9}+q^{16}-q^{17}+\cdots\)
1615.1.g.e	$1615$	$1$	1615.g	1615.g	$2$	$1$	$1$	$0.806$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1615}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(1\)	$1$		\(q+q^{2}-q^{5}+q^{7}-q^{8}+q^{9}-q^{10}+\cdots\)
1615.1.g.f	$1615$	$1$	1615.g	1615.g	$2$	$1$	$1$	$0.806$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1615}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(1\)	\(-1\)	$1$		\(q+q^{2}+q^{5}-q^{7}-q^{8}+q^{9}+q^{10}+\cdots\)
1615.1.g.g	$1615$	$1$	1615.g	1615.g	$2$	$2$	$2$	$0.806$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1615}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)	$1$		\(q-\beta q^{2}+2q^{4}-q^{5}+q^{7}-\beta q^{8}+q^{9}+\cdots\)
1615.1.g.h	$1615$	$1$	1615.g	1615.g	$2$	$2$	$2$	$0.806$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1615}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)	$1$		\(q-\beta q^{2}+2q^{4}+q^{5}-q^{7}-\beta q^{8}+q^{9}+\cdots\)