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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1703.1.d.a	$1703$	$1$	1703.d	1703.d	$2$	$1$	$1$	$0.850$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-131}) \), \(\Q(\sqrt{-1703}) \)	\(\Q(\sqrt{13}) \)	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+2q^{3}-q^{4}+3q^{9}-2q^{12}-q^{13}+\cdots\)
1703.1.d.b	$1703$	$1$	1703.d	1703.d	$2$	$3$	$3$	$0.850$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-1703}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{2})q^{6}+\cdots\)
1703.1.d.c	$1703$	$1$	1703.d	1703.d	$2$	$3$	$3$	$0.850$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-1703}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(-2+\cdots)q^{6}+\cdots\)
1703.1.d.e	$1703$	$1$	1703.d	1703.d	$2$	$6$	$6$	$0.850$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-1703}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+\beta _{5}q^{6}+\cdots\)