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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1048.1.be.a	$1048$	$1$	1048.be	1048.ae	$130$	$48$	$1$	$0.523$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{130}^{18}q^{2}+(\zeta_{130}^{16}-\zeta_{130}^{41})q^{3}+\cdots\)
2084.1.z.a	$2084$	$1$	2084.z	2084.z	$130$	$48$	$1$	$1.040$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(-3\)	\(0\)	$1$		\(q+\zeta_{130}^{14}q^{2}+\zeta_{130}^{28}q^{4}+(\zeta_{130}^{2}+\zeta_{130}^{50}+\cdots)q^{5}+\cdots\)
2489.1.bi.a	$2489$	$1$	2489.bi	2489.ai	$130$	$48$	$1$	$1.242$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-19}) \)	None		$4$	$0$	\(0\)	\(0\)	\(2\)	\(-3\)	$1$		\(q+\zeta_{130}^{44}q^{4}+(\zeta_{130}^{18}+\zeta_{130}^{56})q^{5}+\cdots\)
2491.1.i.b	$2491$	$1$	2491.i	2491.i	$26$	$48$	$4$	$1.243$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(-11\)	$1$		\(q+(-\zeta_{130}^{7}+\zeta_{130}^{8})q^{2}+(\zeta_{130}^{6}+\zeta_{130}^{54}+\cdots)q^{3}+\cdots\)
2893.1.f.b	$2893$	$1$	2893.f	2893.f	$10$	$48$	$12$	$1.444$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-263}) \)	None		$4$	$0$	\(-3\)	\(2\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{130}^{5}+\zeta_{130}^{8})q^{2}+(\zeta_{130}^{12}-\zeta_{130}^{27}+\cdots)q^{3}+\cdots\)
3013.1.x.a	$3013$	$1$	3013.x	3013.x	$130$	$48$	$1$	$1.504$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-3\)	\(-3\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{130}^{14}+\zeta_{130}^{20})q^{2}+(\zeta_{130}^{8}-\zeta_{130}^{35}+\cdots)q^{3}+\cdots\)
3144.1.cj.a	$3144$	$1$	3144.cj	3144.bj	$130$	$48$	$1$	$1.569$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(-2\)	\(2\)	$1$		\(q-\zeta_{130}^{8}q^{2}-\zeta_{130}^{56}q^{3}+\zeta_{130}^{16}q^{4}+\cdots\)
3144.1.cj.b	$3144$	$1$	3144.cj	3144.bj	$130$	$48$	$1$	$1.569$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(1\)	\(1\)	\(2\)	\(2\)	$1$		\(q+\zeta_{130}^{8}q^{2}+\zeta_{130}^{56}q^{3}+\zeta_{130}^{16}q^{4}+\cdots\)
3513.1.bj.a	$3513$	$1$	3513.bj	3513.aj	$130$	$48$	$1$	$1.753$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(-11\)	$1$		\(q+\zeta_{130}^{10}q^{3}-\zeta_{130}^{19}q^{4}+(-\zeta_{130}^{39}+\cdots)q^{7}+\cdots\)
3527.1.b.c	$3527$	$1$	3527.b	3527.b	$2$	$24$	$24$	$1.760$	\(\Q(\zeta_{65})^+\)	$D_{65}$	\(\Q(\sqrt{-3527}) \)	None	✓	$2$	$0$	\(-4\)	\(1\)	\(0\)	\(1\)	$1$		\(q+\beta _{10}q^{2}+\beta _{17}q^{3}+(1+\beta _{20})q^{4}+\cdots\)
3713.1.k.b	$3713$	$1$	3713.k	3713.k	$26$	$48$	$4$	$1.853$	\(\Q(\zeta_{65})\)	$D_{65}$	\(\Q(\sqrt{-47}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(-11\)	$1$		\(q+(\zeta_{130}^{24}+\zeta_{130}^{36})q^{2}+(-\zeta_{130}^{33}+\cdots)q^{3}+\cdots\)