Newform search results

Results (36 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
229.1.d.a	$229$	$1$	229.d	229.d	$4$	$2$	$1$	$0.114$	\(\Q(\sqrt{-1}) \)	$S_{4}$	None	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)		$1$		\(q+q^{3}+iq^{4}-iq^{5}+(-1-i)q^{7}+\cdots\)
229.1.d.b	$229$	$1$	229.d	229.d	$4$	$2$	$1$	$0.114$	\(\Q(\sqrt{-1}) \)	$S_{4}$	None	None		$2$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)		$1$		\(q+(1-i)q^{2}-q^{3}-iq^{4}-iq^{5}+(-1+\cdots)q^{6}+\cdots\)
229.2.a.a	$229$	$2$	229.a	1.a	$1$	$1$	$1$	$1.829$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-3\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-3q^{5}-q^{6}+2q^{7}+\cdots\)
229.2.a.b	$229$	$2$	229.a	1.a	$1$	$6$	$6$	$1.829$	6.6.1868969.1	$_{}$	None	None	✓	$1$	$1$	\(-4\)	\(-6\)	\(-3\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{5})q^{2}+(-1+\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
229.2.a.c	$229$	$2$	229.a	1.a	$1$	$11$	$11$	$1.829$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(5\)	\(3\)	\(0\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
229.2.b.a	$229$	$2$	229.b	229.b	$2$	$2$	$2$	$1.829$	\(\Q(\sqrt{-5}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(6\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{2}+q^{3}-3q^{4}+3q^{5}+\beta q^{6}+\cdots\)
229.2.b.b	$229$	$2$	229.b	229.b	$2$	$16$	$16$	$1.829$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-12\)	\(0\)		$3$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-\beta _{7}q^{3}+(-1-\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots\)
229.2.c.a	$229$	$2$	229.c	229.c	$3$	$36$	$18$	$1.829$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-1\)	\(3\)	\(-4\)			$\mathrm{SU}(2)[C_{3}]$
229.2.e.a	$229$	$2$	229.e	229.e	$6$	$2$	$1$	$1.829$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(-3\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(1-2\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-q^{4}-3\zeta_{6}q^{5}+\cdots\)
229.2.e.b	$229$	$2$	229.e	229.e	$6$	$36$	$18$	$1.829$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(3\)	\(3\)			$\mathrm{SU}(2)[C_{6}]$
229.2.g.a	$229$	$2$	229.g	229.g	$19$	$306$	$17$	$1.829$		$_{}$	None	None		$2$	$0$	\(-16\)	\(-13\)	\(-26\)	\(-9\)			$\mathrm{SU}(2)[C_{19}]$
229.2.h.a	$229$	$2$	229.h	229.h	$38$	$324$	$18$	$1.829$		$_{}$	None	None		$2$	$0$	\(-19\)	\(-21\)	\(6\)	\(-19\)			$\mathrm{SU}(2)[C_{38}]$
229.2.i.a	$229$	$2$	229.i	229.i	$57$	$648$	$18$	$1.829$		$_{}$	None	None		$2$	$0$	\(-32\)	\(-37\)	\(-22\)	\(-34\)			$\mathrm{SU}(2)[C_{57}]$
229.2.k.a	$229$	$2$	229.k	229.k	$114$	$684$	$19$	$1.829$		$_{}$	None	None		$2$	$0$	\(-38\)	\(-37\)	\(-57\)	\(-38\)			$\mathrm{SU}(2)[C_{114}]$
229.3.d.a	$229$	$3$	229.d	229.d	$4$	$76$	$38$	$6.240$		$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(-18\)			$\mathrm{SU}(2)[C_{4}]$
229.3.f.a	$229$	$3$	229.f	229.f	$12$	$148$	$37$	$6.240$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(-24\)	\(-20\)			$\mathrm{SU}(2)[C_{12}]$
229.3.j.a	$229$	$3$	229.j	229.j	$76$	$1368$	$38$	$6.240$		$_{}$	None	None		$2$	$0$	\(-38\)	\(-34\)	\(-38\)	\(-20\)			$\mathrm{SU}(2)[C_{76}]$
229.3.l.a	$229$	$3$	229.l	229.l	$228$	$2664$	$37$	$6.240$		$_{}$	None	None		$2$	$0$	\(-76\)	\(-74\)	\(-52\)	\(-56\)			$\mathrm{SU}(2)[C_{228}]$
229.4.a.a	$229$	$4$	229.a	1.a	$1$	$26$	$26$	$13.511$		$_{}$	None	None	✓	$1$	$1$	\(-15\)	\(-17\)	\(-30\)	\(-55\)	$-$		$\mathrm{SU}(2)$
229.4.a.b	$229$	$4$	229.a	1.a	$1$	$31$	$31$	$13.511$		$_{}$	None	None	✓	$1$	$0$	\(11\)	\(19\)	\(30\)	\(29\)	$+$		$\mathrm{SU}(2)$
229.4.b.a	$229$	$4$	229.b	229.b	$2$	$56$	$56$	$13.511$		$_{}$	None	None		$2$	$0$	\(0\)	\(-6\)	\(6\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
229.4.c.a	$229$	$4$	229.c	229.c	$3$	$114$	$57$	$13.511$		$_{}$	None	None		$2$	$0$	\(-8\)	\(-5\)	\(-15\)	\(5\)			$\mathrm{SU}(2)[C_{3}]$
229.4.e.a	$229$	$4$	229.e	229.e	$6$	$112$	$56$	$13.511$		$_{}$	None	None		$2$	$0$	\(0\)	\(3\)	\(12\)	\(-57\)			$\mathrm{SU}(2)[C_{6}]$
229.4.g.a	$229$	$4$	229.g	229.g	$19$	$1026$	$57$	$13.511$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-21\)	\(57\)	\(7\)			$\mathrm{SU}(2)[C_{19}]$
229.4.h.a	$229$	$4$	229.h	229.h	$38$	$1008$	$56$	$13.511$		$_{}$	None	None		$2$	$0$	\(-19\)	\(-13\)	\(-101\)	\(-19\)			$\mathrm{SU}(2)[C_{38}]$
229.4.i.a	$229$	$4$	229.i	229.i	$57$	$2052$	$57$	$13.511$		$_{}$	None	None		$2$	$0$	\(-30\)	\(-33\)	\(-99\)	\(-43\)			$\mathrm{SU}(2)[C_{57}]$
229.4.k.a	$229$	$4$	229.k	229.k	$114$	$2016$	$56$	$13.511$		$_{}$	None	None		$2$	$0$	\(-38\)	\(-41\)	\(26\)	\(19\)			$\mathrm{SU}(2)[C_{114}]$
229.6.a.a	$229$	$6$	229.a	1.a	$1$	$45$	$45$	$36.728$		$_{}$	None	None	✓	$1$	$1$	\(-25\)	\(-65\)	\(-150\)	\(-283\)	$+$		$\mathrm{SU}(2)$
229.6.a.b	$229$	$6$	229.a	1.a	$1$	$50$	$50$	$36.728$		$_{}$	None	None	✓	$1$	$0$	\(27\)	\(43\)	\(150\)	\(305\)	$-$		$\mathrm{SU}(2)$
229.6.b.a	$229$	$6$	229.b	229.b	$2$	$96$	$96$	$36.728$		$_{}$	None	None		$2$	$0$	\(0\)	\(18\)	\(126\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
229.8.a.a	$229$	$8$	229.a	1.a	$1$	$64$	$64$	$71.536$		$_{}$	None	None	✓	$1$	$1$	\(-49\)	\(-149\)	\(-750\)	\(-1727\)	$-$		$\mathrm{SU}(2)$
229.8.a.b	$229$	$8$	229.a	1.a	$1$	$69$	$69$	$71.536$		$_{}$	None	None	✓	$1$	$0$	\(55\)	\(175\)	\(750\)	\(2389\)	$+$		$\mathrm{SU}(2)$
229.10.a.a	$229$	$10$	229.a	1.a	$1$	$83$	$83$	$117.943$		$_{}$	None	None	✓	$1$	$1$	\(-113\)	\(-413\)	\(-3750\)	\(-16883\)	$+$		$\mathrm{SU}(2)$
229.10.a.b	$229$	$10$	229.a	1.a	$1$	$88$	$88$	$117.943$		$_{}$	None	None	✓	$1$	$0$	\(95\)	\(559\)	\(3750\)	\(11929\)	$-$		$\mathrm{SU}(2)$
229.12.a.a	$229$	$12$	229.a	1.a	$1$	$102$	$102$	$175.951$		$_{}$	None	None	✓	$1$	$1$	\(-201\)	\(-1721\)	\(-18750\)	\(-101895\)	$-$		$\mathrm{SU}(2)$
229.12.a.b	$229$	$12$	229.a	1.a	$1$	$107$	$107$	$175.951$		$_{}$	None	None	✓	$1$	$0$	\(215\)	\(1195\)	\(18750\)	\(99789\)	$+$		$\mathrm{SU}(2)$