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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1355.1.c.a	$1355$	$1$	1355.c	1355.c	$2$	$1$	$1$	$0.676$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1355}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{5}-q^{11}-q^{12}+2q^{13}+\cdots\)
1355.1.c.b	$1355$	$1$	1355.c	1355.c	$2$	$1$	$1$	$0.676$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-271}) \), \(\Q(\sqrt{-1355}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}-q^{9}+2q^{11}+q^{16}-q^{20}+\cdots\)
1355.1.c.c	$1355$	$1$	1355.c	1355.c	$2$	$1$	$1$	$0.676$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1355}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{5}-q^{11}+q^{12}-2q^{13}+\cdots\)
1355.1.c.d	$1355$	$1$	1355.c	1355.c	$2$	$2$	$2$	$0.676$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-1355}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{3}+q^{4}-q^{5}+2q^{9}-q^{11}-\beta q^{12}+\cdots\)