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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2351.1.b.a	$2351$	$1$	2351.b	2351.b	$2$	$1$	$1$	$1.173$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2351}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-q^{5}-2q^{6}-q^{7}+\cdots\)
2351.1.b.b	$2351$	$1$	2351.b	2351.b	$2$	$3$	$3$	$1.173$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2351}) \)	None	✓	$2$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+\beta _{1}q^{6}+\cdots\)
2351.1.b.c	$2351$	$1$	2351.b	2351.b	$2$	$3$	$3$	$1.173$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-2351}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{5}+\cdots\)
2351.1.b.d	$2351$	$1$	2351.b	2351.b	$2$	$6$	$6$	$1.173$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-2351}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(1\)	$1$		\(q+\beta _{3}q^{2}+\beta _{4}q^{3}+(-\beta _{3}+\beta _{5})q^{4}+\cdots\)
2351.1.b.e	$2351$	$1$	2351.b	2351.b	$2$	$18$	$18$	$1.173$	\(\Q(\zeta_{63})^+\)	$D_{63}$	\(\Q(\sqrt{-2351}) \)	None	✓	$2$	$0$	\(3\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{6}q^{2}+(-\beta _{2}+\beta _{4}+\beta _{5}-\beta _{7}+\beta _{8}+\cdots)q^{3}+\cdots\)