Newform search results

Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
740.1.g.a	$740$	$1$	740.g	740.g	$2$	$1$	$1$	$0.369$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-185}) \)	\(\Q(\sqrt{185}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}-q^{9}+q^{10}+\cdots\)
740.1.g.b	$740$	$1$	740.g	740.g	$2$	$1$	$1$	$0.369$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-185}) \)	\(\Q(\sqrt{185}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}-q^{9}+q^{10}+\cdots\)
1480.1.h.e	$1480$	$1$	1480.h	1480.h	$2$	$2$	$2$	$0.739$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-74}) \)	\(\Q(\sqrt{185}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}-iq^{5}+iq^{8}+q^{9}-q^{10}+\cdots\)
2035.1.c.a	$2035$	$1$	2035.c	2035.c	$2$	$1$	$1$	$1.016$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2035}) \)	\(\Q(\sqrt{185}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}-q^{11}+q^{16}-q^{20}+\cdots\)
2035.1.c.b	$2035$	$1$	2035.c	2035.c	$2$	$1$	$1$	$1.016$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2035}) \)	\(\Q(\sqrt{185}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{9}-q^{11}+q^{16}+q^{20}+\cdots\)
2405.1.t.a	$2405$	$1$	2405.t	2405.t	$4$	$4$	$2$	$1.200$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{185}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+q^{9}+(-1-\zeta_{8}^{2}+\cdots)q^{11}+\cdots\)
3145.1.dw.a	$3145$	$1$	3145.dw	3145.cw	$16$	$16$	$2$	$1.570$	\(\Q(\zeta_{32})\)	$D_{16}$	None	\(\Q(\sqrt{185}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{32}-\zeta_{32}^{3})q^{2}+(\zeta_{32}^{2}-\zeta_{32}^{4}+\cdots)q^{4}+\cdots\)
3700.1.b.e	$3700$	$1$	3700.b	148.b	$2$	$2$	$2$	$1.847$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-185}) \)	\(\Q(\sqrt{185}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{8}+q^{9}-iq^{13}+\cdots\)