Newform search results

Results (14 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
671.1.d.a	$671$	$1$	671.d	671.d	$2$	$1$	$1$	$0.335$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-671}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(2\)	\(-1\)	$1$		\(q-q^{2}-q^{3}+2q^{5}+q^{6}-q^{7}+q^{8}+\cdots\)
671.1.d.b	$671$	$1$	671.d	671.d	$2$	$1$	$1$	$0.335$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-671}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(2\)	\(1\)	$1$		\(q+q^{2}-q^{3}+2q^{5}-q^{6}+q^{7}-q^{8}+\cdots\)
671.1.d.c	$671$	$1$	671.d	671.d	$2$	$2$	$2$	$0.335$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-671}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(4\)	$1$		\(q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-\beta q^{5}+\cdots\)
671.1.d.d	$671$	$1$	671.d	671.d	$2$	$2$	$2$	$0.335$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-671}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(-4\)	$1$		\(q+(1-\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-\beta q^{5}+\cdots\)
671.1.d.e	$671$	$1$	671.d	671.d	$2$	$4$	$4$	$0.335$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-671}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(-2\)	\(4\)	$1$		\(q-\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
671.1.d.f	$671$	$1$	671.d	671.d	$2$	$4$	$4$	$0.335$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-671}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-2\)	\(-4\)	$1$		\(q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
3355.1.c.a	$3355$	$1$	3355.c	3355.c	$2$	$1$	$1$	$1.674$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-671}) \), \(\Q(\sqrt{-3355}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}-q^{11}+q^{16}-q^{20}+\cdots\)
3355.1.c.b	$3355$	$1$	3355.c	3355.c	$2$	$1$	$1$	$1.674$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-671}) \), \(\Q(\sqrt{-3355}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}+q^{11}+q^{16}-q^{20}+\cdots\)
3355.1.c.c	$3355$	$1$	3355.c	3355.c	$2$	$2$	$2$	$1.674$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-671}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{2}+(\zeta_{6}+\zeta_{6}^{2})q^{3}+(-1+\cdots)q^{4}+\cdots\)
3355.1.c.d	$3355$	$1$	3355.c	3355.c	$2$	$2$	$2$	$1.674$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-671}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$2$		\(q+(-\zeta_{6}-\zeta_{6}^{2})q^{2}+(\zeta_{6}+\zeta_{6}^{2})q^{3}+\cdots\)
3355.1.c.e	$3355$	$1$	3355.c	3355.c	$2$	$4$	$4$	$1.674$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-671}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+(-\zeta_{10}-\zeta_{10}^{4}+\cdots)q^{3}+\cdots\)
3355.1.c.f	$3355$	$1$	3355.c	3355.c	$2$	$4$	$4$	$1.674$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-671}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{10}+\zeta_{10}^{4})q^{2}+(-\zeta_{10}^{2}-\zeta_{10}^{3}+\cdots)q^{3}+\cdots\)
3355.1.c.g	$3355$	$1$	3355.c	3355.c	$2$	$8$	$8$	$1.674$	\(\Q(\zeta_{15})\)	$D_{30}$	\(\Q(\sqrt{-671}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+(\zeta_{30}^{7}+\zeta_{30}^{8})q^{2}+(\zeta_{30}^{4}+\zeta_{30}^{11}+\cdots)q^{3}+\cdots\)
3355.1.c.h	$3355$	$1$	3355.c	3355.c	$2$	$8$	$8$	$1.674$	\(\Q(\zeta_{15})\)	$D_{30}$	\(\Q(\sqrt{-671}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+(-\zeta_{30}^{2}-\zeta_{30}^{13})q^{2}+(-\zeta_{30}-\zeta_{30}^{14}+\cdots)q^{3}+\cdots\)