Newform search results

Results (9 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
696.1.n.e	$696$	$1$	696.n	696.n	$2$	$2$	$2$	$0.347$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-87}) \)	\(\Q(\sqrt{58}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q-iq^{2}+iq^{3}-q^{4}+q^{6}-q^{7}+iq^{8}+\cdots\)
1624.1.i.a	$1624$	$1$	1624.i	1624.i	$2$	$1$	$1$	$0.810$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-406}) \)	\(\Q(\sqrt{58}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{9}+2q^{11}+\cdots\)
1624.1.i.b	$1624$	$1$	1624.i	1624.i	$2$	$1$	$1$	$0.810$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-406}) \)	\(\Q(\sqrt{58}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+q^{7}+q^{8}+q^{9}-2q^{11}+\cdots\)
2088.1.bb.a	$2088$	$1$	2088.bb	2088.ab	$6$	$4$	$2$	$1.042$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{58}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{12}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+q^{6}+\cdots\)
2552.1.k.c	$2552$	$1$	2552.k	2552.k	$2$	$2$	$2$	$1.274$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-22}) \), \(\Q(\sqrt{-319}) \)	\(\Q(\sqrt{58}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{8}-q^{9}+iq^{11}+\cdots\)
2552.1.bf.a	$2552$	$1$	2552.bf	2552.af	$10$	$8$	$2$	$1.274$	\(\Q(\zeta_{20})\)	$D_{10}$	None	\(\Q(\sqrt{58}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{20}q^{2}+(-\zeta_{20}+\zeta_{20}^{5})q^{3}+\zeta_{20}^{2}q^{4}+\cdots\)
2784.1.n.e	$2784$	$1$	2784.n	696.n	$2$	$2$	$2$	$1.389$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-87}) \)	\(\Q(\sqrt{58}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(4\)	$1$		\(q-iq^{3}+q^{7}-q^{9}-iq^{11}-2iq^{21}+\cdots\)
3712.1.b.a	$3712$	$1$	3712.b	232.b	$2$	$1$	$1$	$1.853$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-58}) \)	\(\Q(\sqrt{58}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{9}+q^{25}-q^{29}+2q^{37}+q^{49}+\cdots\)
3712.1.b.b	$3712$	$1$	3712.b	232.b	$2$	$1$	$1$	$1.853$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-58}) \)	\(\Q(\sqrt{58}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{9}+q^{25}+q^{29}-2q^{37}+q^{49}+\cdots\)