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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
651.1.e.a	$651$	$1$	651.e	651.e	$2$	$1$	$1$	$0.325$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-651}) \)	\(\Q(\sqrt{217}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-q^{3}+q^{4}-q^{7}+q^{9}-q^{12}+2q^{13}+\cdots\)
651.1.e.b	$651$	$1$	651.e	651.e	$2$	$1$	$1$	$0.325$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-651}) \)	\(\Q(\sqrt{217}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+q^{3}+q^{4}-q^{7}+q^{9}+q^{12}-2q^{13}+\cdots\)
2604.1.p.a	$2604$	$1$	2604.p	651.e	$2$	$1$	$1$	$1.300$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-651}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{3}-q^{5}+q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
2604.1.p.b	$2604$	$1$	2604.p	651.e	$2$	$1$	$1$	$1.300$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-651}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(1\)	$1$		\(q-q^{3}+q^{5}+q^{7}+q^{9}+2q^{11}+q^{13}+\cdots\)
2604.1.p.c	$2604$	$1$	2604.p	651.e	$2$	$1$	$1$	$1.300$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-651}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
2604.1.p.d	$2604$	$1$	2604.p	651.e	$2$	$1$	$1$	$1.300$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-651}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(1\)	$1$		\(q+q^{3}+q^{5}+q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
2604.1.p.e	$2604$	$1$	2604.p	651.e	$2$	$2$	$2$	$1.300$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-651}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)	$1$		\(q-q^{3}-\beta q^{5}-q^{7}+q^{9}-q^{13}+\beta q^{15}+\cdots\)
2604.1.p.f	$2604$	$1$	2604.p	651.e	$2$	$2$	$2$	$1.300$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-651}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)	$1$		\(q+q^{3}-\beta q^{5}-q^{7}+q^{9}+q^{13}-\beta q^{15}+\cdots\)
3255.1.o.i	$3255$	$1$	3255.o	3255.o	$2$	$4$	$4$	$1.624$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-651}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{8}^{2}q^{3}-q^{4}-\zeta_{8}q^{5}+\zeta_{8}^{2}q^{7}+\cdots\)
3255.1.o.j	$3255$	$1$	3255.o	3255.o	$2$	$4$	$4$	$1.624$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-651}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{8}^{2}q^{3}-q^{4}+\zeta_{8}^{3}q^{5}-\zeta_{8}^{2}q^{7}+\cdots\)