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Results (3 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
719.1.b.a	$719$	$1$	719.b	719.b	$2$	$15$	$15$	$0.359$	\(\Q(\zeta_{62})^+\)	$D_{31}$	\(\Q(\sqrt{-719}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{12}q^{2}+\beta _{10}q^{3}+(1-\beta _{7})q^{4}-\beta _{13}q^{5}+\cdots\)
3595.1.b.a	$3595$	$1$	3595.b	3595.b	$2$	$1$	$1$	$1.794$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-719}) \), \(\Q(\sqrt{-3595}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{9}+q^{16}+q^{20}+q^{25}+\cdots\)
3595.1.b.c	$3595$	$1$	3595.b	3595.b	$2$	$30$	$30$	$1.794$	\(\Q(\zeta_{62})\)	$D_{62}$	\(\Q(\sqrt{-719}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+(-\zeta_{62}^{10}-\zeta_{62}^{21})q^{2}+(-\zeta_{62}^{2}+\cdots)q^{3}+\cdots\)