Newform search results

Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
795.1.b.a	$795$	$1$	795.b	795.b	$2$	$2$	$2$	$0.397$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-159}) \)	\(\Q(\sqrt{265}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-3q^{4}-iq^{5}-2q^{6}+\cdots\)
1060.1.d.a	$1060$	$1$	1060.d	1060.d	$2$	$1$	$1$	$0.529$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-265}) \)	\(\Q(\sqrt{265}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-q^{8}+q^{9}-q^{10}+\cdots\)
1060.1.d.b	$1060$	$1$	1060.d	1060.d	$2$	$1$	$1$	$0.529$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-265}) \)	\(\Q(\sqrt{265}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
2120.1.p.a	$2120$	$1$	2120.p	2120.p	$2$	$2$	$2$	$1.058$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-10}) \), \(\Q(\sqrt{-106}) \)	\(\Q(\sqrt{265}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}-iq^{5}+iq^{8}-q^{9}-q^{10}+\cdots\)
2915.1.e.a	$2915$	$1$	2915.e	2915.e	$2$	$1$	$1$	$1.455$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2915}) \)	\(\Q(\sqrt{265}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(1\)	\(0\)	$1$		\(q-2q^{3}+q^{4}+q^{5}+3q^{9}-q^{11}-2q^{12}+\cdots\)
2915.1.e.f	$2915$	$1$	2915.e	2915.e	$2$	$1$	$1$	$1.455$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2915}) \)	\(\Q(\sqrt{265}) \)	✓	$4$	$0$	\(0\)	\(2\)	\(-1\)	\(0\)	$1$		\(q+2q^{3}+q^{4}-q^{5}+3q^{9}-q^{11}+2q^{12}+\cdots\)
2915.1.y.a	$2915$	$1$	2915.y	2915.y	$10$	$4$	$1$	$1.455$	\(\Q(\zeta_{10})\)	$D_{10}$	None	\(\Q(\sqrt{265}) \)		$4$	$0$	\(-5\)	\(2\)	\(-1\)	\(0\)	$1$		\(q+(-1+\zeta_{10}^{4})q^{2}+(\zeta_{10}^{3}-\zeta_{10}^{4}+\cdots)q^{3}+\cdots\)
2915.1.y.b	$2915$	$1$	2915.y	2915.y	$10$	$4$	$1$	$1.455$	\(\Q(\zeta_{10})\)	$D_{10}$	None	\(\Q(\sqrt{265}) \)		$4$	$0$	\(5\)	\(-2\)	\(1\)	\(0\)	$1$		\(q+(1-\zeta_{10}^{4})q^{2}+(-\zeta_{10}^{3}+\zeta_{10}^{4}+\cdots)q^{3}+\cdots\)
3975.1.h.a	$3975$	$1$	3975.h	159.d	$2$	$1$	$1$	$1.984$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-159}) \)	\(\Q(\sqrt{265}) \)	✓	$4$	$0$	\(-2\)	\(1\)	\(0\)	\(0\)	$1$		\(q-2q^{2}+q^{3}+3q^{4}-2q^{6}-4q^{8}+\cdots\)
3975.1.h.b	$3975$	$1$	3975.h	159.d	$2$	$1$	$1$	$1.984$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-159}) \)	\(\Q(\sqrt{265}) \)	✓	$4$	$0$	\(2\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-2q^{6}+4q^{8}+\cdots\)