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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1655.1.d.a	$1655$	$1$	1655.d	1655.d	$2$	$1$	$1$	$0.826$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-331}) \), \(\Q(\sqrt{-1655}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}-q^{9}+q^{16}+2q^{19}+q^{20}+\cdots\)
1655.1.d.c	$1655$	$1$	1655.d	1655.d	$2$	$5$	$5$	$0.826$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-1655}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(5\)	\(-1\)	$1$		\(q+\beta _{4}q^{2}-\beta _{3}q^{3}+(1-\beta _{3})q^{4}+q^{5}+\cdots\)
1655.1.d.d	$1655$	$1$	1655.d	1655.d	$2$	$5$	$5$	$0.826$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-1655}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(5\)	\(1\)	$1$		\(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{2}+\beta _{1}q^{3}+\cdots\)
1655.1.d.e	$1655$	$1$	1655.d	1655.d	$2$	$10$	$10$	$0.826$	\(\Q(\zeta_{44})^+\)	$D_{22}$	\(\Q(\sqrt{-1655}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-10\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)