Newform search results

Results (16 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
932.1.j.a	$932$	$1$	932.j	932.j	$58$	$28$	$1$	$0.465$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{58}^{13}q^{2}+\zeta_{58}^{26}q^{4}+(\zeta_{58}^{15}+\cdots)q^{5}+\cdots\)
1047.1.n.a	$1047$	$1$	1047.n	1047.n	$58$	$28$	$1$	$0.523$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{58}^{3}q^{3}+\zeta_{58}^{27}q^{4}+(-\zeta_{58}-\zeta_{58}^{10}+\cdots)q^{7}+\cdots\)
1416.1.u.a	$1416$	$1$	1416.u	1416.u	$58$	$28$	$1$	$0.707$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{58}^{2}q^{2}-\zeta_{58}^{17}q^{3}+\zeta_{58}^{4}q^{4}+\cdots\)
1416.1.u.b	$1416$	$1$	1416.u	1416.u	$58$	$28$	$1$	$0.707$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{58}^{2}q^{2}-\zeta_{58}^{9}q^{3}+\zeta_{58}^{4}q^{4}+\cdots\)
1631.1.r.a	$1631$	$1$	1631.r	1631.r	$58$	$28$	$1$	$0.814$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(-\zeta_{58}-\zeta_{58}^{11})q^{2}+(\zeta_{58}^{2}+\zeta_{58}^{12}+\cdots)q^{4}+\cdots\)
1864.1.v.a	$1864$	$1$	1864.v	1864.v	$58$	$28$	$1$	$0.930$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{58}^{13}q^{2}+(-\zeta_{58}^{12}-\zeta_{58}^{23}+\cdots)q^{3}+\cdots\)
1947.1.x.a	$1947$	$1$	1947.x	1947.x	$58$	$28$	$1$	$0.972$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{58}^{20}q^{3}+\zeta_{58}^{26}q^{4}+(\zeta_{58}^{19}+\cdots)q^{5}+\cdots\)
1947.1.x.b	$1947$	$1$	1947.x	1947.x	$58$	$28$	$1$	$0.972$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{58}^{4}q^{3}+\zeta_{58}^{26}q^{4}+(-\zeta_{58}^{19}+\cdots)q^{5}+\cdots\)
2301.1.z.c	$2301$	$1$	2301.z	2301.z	$58$	$56$	$2$	$1.148$	\(\Q(\zeta_{116})\)	$D_{58}$	\(\Q(\sqrt{-39}) \)	None		$8$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{116}^{33}+\zeta_{116}^{45})q^{2}-\zeta_{116}^{36}q^{3}+\cdots\)
3245.1.ba.b	$3245$	$1$	3245.ba	3245.aa	$58$	$28$	$1$	$1.619$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{58}^{12}-\zeta_{58}^{14})q^{3}-\zeta_{58}^{4}q^{4}+\cdots\)
3245.1.ba.c	$3245$	$1$	3245.ba	3245.aa	$58$	$28$	$1$	$1.619$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+(-\zeta_{58}^{12}+\zeta_{58}^{14})q^{3}-\zeta_{58}^{4}q^{4}+\cdots\)
3245.1.ba.e	$3245$	$1$	3245.ba	3245.aa	$58$	$56$	$2$	$1.619$	\(\Q(\zeta_{116})\)	$D_{58}$	\(\Q(\sqrt{-55}) \)	None		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$29$		\(q+(-\zeta_{116}^{7}+\zeta_{116}^{23})q^{2}+(\zeta_{116}^{14}-\zeta_{116}^{30}+\cdots)q^{4}+\cdots\)
3304.1.bi.c	$3304$	$1$	3304.bi	3304.ai	$58$	$56$	$2$	$1.649$	\(\Q(\zeta_{116})\)	$D_{58}$	\(\Q(\sqrt{-14}) \)	None		$8$	$0$	\(2\)	\(0\)	\(0\)	\(2\)	$1$		\(q+\zeta_{116}^{42}q^{2}+(\zeta_{116}^{27}-\zeta_{116}^{55})q^{3}+\cdots\)
3495.1.be.a	$3495$	$1$	3495.be	3495.ae	$58$	$56$	$2$	$1.744$	\(\Q(\zeta_{116})\)	$D_{58}$	\(\Q(\sqrt{-15}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{116}^{41}-\zeta_{116}^{57})q^{2}+\zeta_{116}^{47}q^{3}+\cdots\)
3716.1.n.a	$3716$	$1$	3716.n	3716.n	$58$	$28$	$1$	$1.855$	\(\Q(\zeta_{58})\)	$D_{58}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$1$		\(q+\zeta_{58}^{5}q^{2}+\zeta_{58}^{10}q^{4}+(\zeta_{58}+\zeta_{58}^{27}+\cdots)q^{5}+\cdots\)
3776.1.ba.a	$3776$	$1$	3776.ba	472.o	$58$	$56$	$2$	$1.884$	\(\Q(\zeta_{116})\)	$D_{58}$	\(\Q(\sqrt{-2}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{116}^{11}+\zeta_{116}^{53})q^{3}+(\zeta_{116}^{6}+\zeta_{116}^{22}+\cdots)q^{9}+\cdots\)