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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1623.1.d.a	$1623$	$1$	1623.d	1623.d	$2$	$1$	$1$	$0.810$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1623}) \)	\(\Q(\sqrt{541}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-q^{3}-q^{4}-2q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
2705.1.h.a	$2705$	$1$	2705.h	2705.h	$4$	$2$	$1$	$1.350$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{541}) \)		$4$	$0$	\(0\)	\(-2\)	\(-2\)	\(2\)	$1$		\(q+(-1+i)q^{3}+iq^{4}-q^{5}+(1+i+\cdots)q^{7}+\cdots\)
3787.1.b.a	$3787$	$1$	3787.b	3787.b	$2$	$1$	$1$	$1.890$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3787}) \)	\(\Q(\sqrt{541}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}+q^{9}+q^{16}-2q^{23}+q^{25}+\cdots\)