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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
831.1.d.a	$831$	$1$	831.d	831.d	$2$	$1$	$1$	$0.415$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-831}) \)	\(\Q(\sqrt{277}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-q^{3}-q^{4}-2q^{7}+q^{9}+q^{12}+2q^{13}+\cdots\)
1939.1.b.a	$1939$	$1$	1939.b	1939.b	$2$	$1$	$1$	$0.968$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-1939}) \)	\(\Q(\sqrt{277}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}+q^{9}+q^{16}-2q^{23}-q^{25}+\cdots\)
3601.1.k.a	$3601$	$1$	3601.k	3601.k	$4$	$2$	$1$	$1.797$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{277}) \)		$4$	$0$	\(0\)	\(4\)	\(0\)	\(-2\)	$1$		\(q+q^{3}+iq^{4}+(-1+i)q^{7}+3q^{9}+\cdots\)
3601.1.bm.a	$3601$	$1$	3601.bm	3601.am	$12$	$4$	$1$	$1.797$	\(\Q(\zeta_{12})\)	$D_{12}$	None	\(\Q(\sqrt{277}) \)		$4$	$0$	\(0\)	\(2\)	\(0\)	\(2\)	$1$		\(q-\zeta_{12}^{4}q^{3}+\zeta_{12}^{5}q^{4}+(-\zeta_{12}^{3}-\zeta_{12}^{4}+\cdots)q^{7}+\cdots\)