Newform search results

Results (12 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
759.1.h.a	$759$	$1$	759.h	759.h	$2$	$1$	$1$	$0.379$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-759}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q-q^{2}+q^{3}-q^{5}-q^{6}-q^{7}+q^{8}+\cdots\)
759.1.h.b	$759$	$1$	759.h	759.h	$2$	$1$	$1$	$0.379$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-759}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(1\)	$1$		\(q-q^{2}+q^{3}+q^{5}-q^{6}+q^{7}+q^{8}+\cdots\)
759.1.h.c	$759$	$1$	759.h	759.h	$2$	$1$	$1$	$0.379$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-759}) \)	\(\Q(\sqrt{69}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(-2\)	\(0\)	$1$		\(q-q^{3}-q^{4}-2q^{5}+q^{9}+q^{11}+q^{12}+\cdots\)
759.1.h.d	$759$	$1$	759.h	759.h	$2$	$1$	$1$	$0.379$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-759}) \)	\(\Q(\sqrt{69}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$1$		\(q-q^{3}-q^{4}+2q^{5}+q^{9}-q^{11}+q^{12}+\cdots\)
759.1.h.e	$759$	$1$	759.h	759.h	$2$	$1$	$1$	$0.379$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-759}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+q^{2}+q^{3}-q^{5}+q^{6}+q^{7}-q^{8}+\cdots\)
759.1.h.f	$759$	$1$	759.h	759.h	$2$	$1$	$1$	$0.379$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-759}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(1\)	\(-1\)	$1$		\(q+q^{2}+q^{3}+q^{5}+q^{6}-q^{7}-q^{8}+\cdots\)
759.1.h.g	$759$	$1$	759.h	759.h	$2$	$2$	$2$	$0.379$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-759}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(-2\)	\(0\)	$1$		\(q-\beta q^{2}-q^{3}+2q^{4}-q^{5}+\beta q^{6}-\beta q^{7}+\cdots\)
759.1.h.h	$759$	$1$	759.h	759.h	$2$	$2$	$2$	$0.379$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-759}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(2\)	\(0\)	$1$		\(q-\beta q^{2}-q^{3}+2q^{4}+q^{5}+\beta q^{6}+\beta q^{7}+\cdots\)
3795.1.e.e	$3795$	$1$	3795.e	3795.e	$2$	$4$	$4$	$1.894$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-759}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-\zeta_{8}^{2}q^{3}-q^{4}+\zeta_{8}^{2}q^{5}+\cdots\)
3795.1.e.f	$3795$	$1$	3795.e	3795.e	$2$	$4$	$4$	$1.894$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-759}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+\zeta_{8}^{2}q^{3}-q^{4}+\cdots\)
3795.1.e.g	$3795$	$1$	3795.e	3795.e	$2$	$8$	$8$	$1.894$	\(\Q(\zeta_{24})\)	$D_{12}$	\(\Q(\sqrt{-759}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{24}-\zeta_{24}^{11})q^{2}+\zeta_{24}^{6}q^{3}+\cdots\)
3795.1.e.h	$3795$	$1$	3795.e	3795.e	$2$	$8$	$8$	$1.894$	\(\Q(\zeta_{24})\)	$D_{12}$	\(\Q(\sqrt{-759}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{24}^{5}-\zeta_{24}^{7})q^{2}+\zeta_{24}^{6}q^{3}+\cdots\)