Newform search results

Results (8 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	$2$	$1$	$1$	$0.369$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-185}) \)	\(\Q(\sqrt{185}) \)	✓	✓			740.1.g.a	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}-q^{9}+q^{10}+\cdots\)
740.1.g.b	$740$	$1$	740.g	740.g	$2$	$1$	$1$	$0.369$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-185}) \)	\(\Q(\sqrt{185}) \)	✓	✓			740.1.g.a	$4$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}-q^{9}+q^{10}+\cdots\)
740.1.g.c	$740$	$1$	740.g	740.g	$2$	$2$	$2$	$0.369$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-185}) \)	None	✓	✓			740.1.g.c	$4$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)	$1$		\(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+\beta q^{7}+\cdots\)
740.1.g.d	$740$	$1$	740.g	740.g	$2$	$2$	$2$	$0.369$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-185}) \)	None	✓	✓			740.1.g.c	$4$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+\beta q^{7}+\cdots\)
2960.1.o.a	$2960$	$1$	2960.o	740.g	$2$	$4$	$4$	$1.477$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-185}) \)	None	✓	✓			2960.1.o.a	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q-\beta _{1}q^{3}-q^{5}+\beta _{3}q^{7}+(1+\beta _{2})q^{9}+\cdots\)
2960.1.o.b	$2960$	$1$	2960.o	740.g	$2$	$4$	$4$	$1.477$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-185}) \)	None	✓	✓			2960.1.o.a	$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+q^{5}+\beta _{3}q^{7}+(1+\beta _{2})q^{9}+\cdots\)
3700.1.b.e	$3700$	$1$	3700.b	148.b	$2$	$2$	$2$	$1.847$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-185}) \)	\(\Q(\sqrt{185}) \)					740.1.g.a	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{8}+q^{9}-iq^{13}+\cdots\)
3700.1.b.f	$3700$	$1$	3700.b	148.b	$2$	$4$	$4$	$1.847$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-185}) \)	None			✓		740.1.g.c	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+\zeta_{8}^{2}q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}-q^{4}+\cdots\)