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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3671.1.b.a	$3671$	$1$	3671.b	3671.b	$2$	$1$	$1$	$1.832$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3671}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}-q^{7}+q^{8}+\cdots\)
3671.1.b.b	$3671$	$1$	3671.b	3671.b	$2$	$3$	$3$	$1.832$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3671}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots\)
3671.1.b.c	$3671$	$1$	3671.b	3671.b	$2$	$9$	$9$	$1.832$	\(\Q(\zeta_{54})^+\)	$D_{27}$	\(\Q(\sqrt{-3671}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(\beta _{1}-\beta _{8})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
3671.1.b.d	$3671$	$1$	3671.b	3671.b	$2$	$27$	$27$	$1.832$	\(\Q(\zeta_{162})^+\)	$D_{81}$	\(\Q(\sqrt{-3671}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{11}q^{2}-\beta _{25}q^{3}+(1+\beta _{22})q^{4}+\cdots\)