Newform search results

Results (11 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1497.1.l.a	$1497$	$1$	1497.l	1497.l	$166$	$82$	$1$	$0.747$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{166}^{8}q^{3}+\zeta_{166}^{10}q^{4}+(-\zeta_{166}^{61}+\cdots)q^{7}+\cdots\)
2505.1.p.a	$2505$	$1$	2505.p	2505.p	$166$	$82$	$1$	$1.250$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(-2\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(-\zeta_{166}^{17}-\zeta_{166}^{57})q^{2}-\zeta_{166}^{33}q^{3}+\cdots\)
2505.1.p.b	$2505$	$1$	2505.p	2505.p	$166$	$82$	$1$	$1.250$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-15}) \)	None		$4$	$0$	\(2\)	\(1\)	\(1\)	\(0\)	$1$		\(q+(\zeta_{166}^{17}+\zeta_{166}^{57})q^{2}+\zeta_{166}^{33}q^{3}+\cdots\)
2991.1.o.a	$2991$	$1$	2991.o	2991.o	$166$	$82$	$1$	$1.493$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{166}^{55}q^{3}-\zeta_{166}^{33}q^{4}+(\zeta_{166}^{56}+\cdots)q^{7}+\cdots\)
3340.1.p.a	$3340$	$1$	3340.p	3340.p	$166$	$82$	$1$	$1.667$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(-1\)	\(-2\)	$1$		\(q+\zeta_{166}^{82}q^{2}+(-\zeta_{166}^{31}-\zeta_{166}^{39}+\cdots)q^{3}+\cdots\)
3340.1.p.b	$3340$	$1$	3340.p	3340.p	$166$	$82$	$1$	$1.667$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(1\)	\(2\)	\(-1\)	\(2\)	$1$		\(q-\zeta_{166}^{82}q^{2}+(\zeta_{166}^{31}+\zeta_{166}^{39})q^{3}+\cdots\)
3493.1.v.a	$3493$	$1$	3493.v	3493.v	$166$	$82$	$1$	$1.743$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(\zeta_{166}^{36}+\zeta_{166}^{82})q^{2}+(-\zeta_{166}^{35}+\cdots)q^{4}+\cdots\)
3841.1.l.a	$3841$	$1$	3841.l	3841.l	$166$	$82$	$1$	$1.917$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-2\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{166}^{45}+\zeta_{166}^{70})q^{2}+(\zeta_{166}^{20}+\cdots)q^{3}+\cdots\)
3911.1.b.a	$3911$	$1$	3911.b	3911.b	$2$	$41$	$41$	$1.952$	\(\Q(\zeta_{166})^+\)	$D_{83}$	\(\Q(\sqrt{-3911}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{15}q^{2}-\beta _{29}q^{3}+(1+\beta _{30})q^{4}+\cdots\)
3988.1.o.a	$3988$	$1$	3988.o	3988.o	$166$	$82$	$1$	$1.990$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{166}^{68}q^{2}-\zeta_{166}^{53}q^{4}+(-\zeta_{166}+\cdots)q^{5}+\cdots\)
3992.1.t.a	$3992$	$1$	3992.t	3992.t	$166$	$82$	$1$	$1.992$	\(\Q(\zeta_{166})\)	$D_{83}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{166}^{72}q^{2}+(\zeta_{166}^{32}-\zeta_{166}^{49})q^{3}+\cdots\)