Newform search results

Results (1-50 of 121 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
290.2.a.a	$290$	$2$	290.a	1.a	$1$	$1$	$1$	$2.316$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}-3q^{9}+\cdots\)
290.2.a.b	$290$	$2$	290.a	1.a	$1$	$2$	$2$	$2.316$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-2\)	\(1\)	\(-2\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
290.2.a.c	$290$	$2$	290.a	1.a	$1$	$2$	$2$	$2.316$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-2\)	\(1\)	\(2\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
290.2.a.d	$290$	$2$	290.a	1.a	$1$	$3$	$3$	$2.316$	3.3.469.1	None	✓	$1$	$0$	\(3\)	\(-1\)	\(3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{2}q^{3}+q^{4}+q^{5}+\beta _{2}q^{6}+\cdots\)
290.2.a.e	$290$	$2$	290.a	1.a	$1$	$3$	$3$	$2.316$	3.3.621.1	None	✓	$1$	$0$	\(3\)	\(3\)	\(-3\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}-q^{5}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
290.2.b.a	$290$	$2$	290.b	5.b	$2$	$4$	$4$	$2.316$	\(\Q(i, \sqrt{5})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{3}q^{2}+(-\beta _{1}+\beta _{3})q^{3}-q^{4}+(-2\beta _{1}+\cdots)q^{5}+\cdots\)
290.2.b.b	$290$	$2$	290.b	5.b	$2$	$10$	$10$	$2.316$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{5}q^{2}+(-\beta _{1}+\beta _{5})q^{3}-q^{4}+\beta _{3}q^{5}+\cdots\)
290.2.c.a	$290$	$2$	290.c	29.b	$2$	$2$	$2$	$2.316$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-q^{4}-q^{5}+4q^{7}-iq^{8}+3q^{9}+\cdots\)
290.2.c.b	$290$	$2$	290.c	29.b	$2$	$4$	$4$	$2.316$	\(\Q(i, \sqrt{29})\)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(-10\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}+\beta _{1}q^{3}-q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
290.2.c.c	$290$	$2$	290.c	29.b	$2$	$4$	$4$	$2.316$	\(\Q(i, \sqrt{5})\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{3}q^{2}+(\beta _{1}-\beta _{3})q^{3}-q^{4}+q^{5}+\cdots\)
290.2.d.a	$290$	$2$	290.d	145.d	$2$	$8$	$8$	$2.316$	8.0.\(\cdots\).1	None		$2$	$0$	\(-8\)	\(4\)	\(-1\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}-\beta _{1}q^{6}+\cdots\)
290.2.d.b	$290$	$2$	290.d	145.d	$2$	$8$	$8$	$2.316$	8.0.\(\cdots\).1	None		$2$	$0$	\(8\)	\(-4\)	\(-1\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{6}q^{5}-\beta _{1}q^{6}+\cdots\)
290.2.e.a	$290$	$2$	290.e	145.j	$4$	$2$	$1$	$2.316$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(-2\)	\(0\)	\(2\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-q^{2}+2iq^{3}+q^{4}+(1+2i)q^{5}-2iq^{6}+\cdots\)
290.2.e.b	$290$	$2$	290.e	145.j	$4$	$2$	$1$	$2.316$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(0\)	\(2\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+q^{2}+2iq^{3}+q^{4}+(1-2i)q^{5}+2iq^{6}+\cdots\)
290.2.e.c	$290$	$2$	290.e	145.j	$4$	$2$	$1$	$2.316$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(0\)	\(4\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+q^{2}+q^{4}+(2+i)q^{5}+(-2+2i)q^{7}+\cdots\)
290.2.e.d	$290$	$2$	290.e	145.j	$4$	$4$	$2$	$2.316$	\(\Q(i, \sqrt{19})\)	None		$2$	$0$	\(-4\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{3}q^{5}+\beta _{2}q^{6}+\cdots\)
290.2.e.e	$290$	$2$	290.e	145.j	$4$	$8$	$4$	$2.316$	8.0.6420496384.3	None		$2$	$0$	\(-8\)	\(0\)	\(0\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-2\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
290.2.e.f	$290$	$2$	290.e	145.j	$4$	$12$	$6$	$2.316$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(12\)	\(0\)	\(-6\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+q^{2}+(-1-\beta _{1}-\beta _{2}-\beta _{4}+\beta _{5}+\cdots)q^{3}+\cdots\)
290.2.j.a	$290$	$2$	290.j	145.e	$4$	$2$	$1$	$2.316$	\(\Q(\sqrt{-1}) \)	None		$2$	$1$	\(0\)	\(0\)	\(-4\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+iq^{2}-q^{4}+(-2+i)q^{5}+(-2-2i)q^{7}+\cdots\)
290.2.j.b	$290$	$2$	290.j	145.e	$4$	$2$	$1$	$2.316$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(4\)	\(-2\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+iq^{2}+2q^{3}-q^{4}+(-1-2i)q^{5}+\cdots\)
290.2.j.c	$290$	$2$	290.j	145.e	$4$	$2$	$1$	$2.316$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(4\)	\(-2\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-iq^{2}+2q^{3}-q^{4}+(-1+2i)q^{5}+\cdots\)
290.2.j.d	$290$	$2$	290.j	145.e	$4$	$4$	$2$	$2.316$	\(\Q(i, \sqrt{19})\)	None		$2$	$0$	\(0\)	\(-4\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{2}q^{2}-q^{3}-q^{4}+(1+\beta _{3})q^{5}+\beta _{2}q^{6}+\cdots\)
290.2.j.e	$290$	$2$	290.j	145.e	$4$	$8$	$4$	$2.316$	8.0.6420496384.3	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{5}q^{2}+(-1+\beta _{4})q^{3}-q^{4}+(2\beta _{2}+\cdots)q^{5}+\cdots\)
290.2.j.f	$290$	$2$	290.j	145.e	$4$	$12$	$6$	$2.316$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{7}q^{2}+(-\beta _{2}-\beta _{4}+\beta _{5}+\beta _{6}+\beta _{9}+\cdots)q^{3}+\cdots\)
290.2.k.a	$290$	$2$	290.k	29.d	$7$	$12$	$2$	$2.316$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(-2\)	\(5\)	\(-2\)	\(-5\)		$1$	$\mathrm{SU}(2)[C_{7}]$	\(q-\beta _{2}q^{2}+(-\beta _{1}+\beta _{10}+\beta _{11})q^{3}+\cdots\)
290.2.k.b	$290$	$2$	290.k	29.d	$7$	$12$	$2$	$2.316$	12.0.\(\cdots\).1	None		$2$	$0$	\(2\)	\(-1\)	\(-2\)	\(11\)		$1$	$\mathrm{SU}(2)[C_{7}]$	\(q+\beta _{9}q^{2}+(-\beta _{2}+\beta _{5}-\beta _{7}+\beta _{10}+\cdots)q^{3}+\cdots\)
290.2.k.c	$290$	$2$	290.k	29.d	$7$	$18$	$3$	$2.316$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None		$2$	$0$	\(-3\)	\(-3\)	\(3\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{7}]$	\(q+(-1+\beta _{2}+\beta _{4}+\beta _{5}+\beta _{8}+\beta _{16}+\cdots)q^{2}+\cdots\)
290.2.k.d	$290$	$2$	290.k	29.d	$7$	$18$	$3$	$2.316$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None		$2$	$0$	\(3\)	\(-1\)	\(3\)	\(-10\)		$1$	$\mathrm{SU}(2)[C_{7}]$	\(q+(1+\beta _{2}-\beta _{3}+\beta _{5}+\beta _{10}+\beta _{11}+\cdots)q^{2}+\cdots\)
290.2.l.a	$290$	$2$	290.l	145.l	$14$	$48$	$8$	$2.316$		None		$2$	$0$	\(-8\)	\(4\)	\(-6\)	\(-7\)			$\mathrm{SU}(2)[C_{14}]$
290.2.l.b	$290$	$2$	290.l	145.l	$14$	$48$	$8$	$2.316$		None		$2$	$0$	\(8\)	\(-4\)	\(8\)	\(7\)			$\mathrm{SU}(2)[C_{14}]$
290.2.m.a	$290$	$2$	290.m	29.e	$14$	$24$	$4$	$2.316$		None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(-2\)			$\mathrm{SU}(2)[C_{14}]$
290.2.m.b	$290$	$2$	290.m	29.e	$14$	$36$	$6$	$2.316$		None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(2\)			$\mathrm{SU}(2)[C_{14}]$
290.2.n.a	$290$	$2$	290.n	145.n	$14$	$84$	$14$	$2.316$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{14}]$
290.2.o.a	$290$	$2$	290.o	145.t	$28$	$84$	$7$	$2.316$		None		$2$	$0$	\(0\)	\(4\)	\(14\)	\(12\)			$\mathrm{SU}(2)[C_{28}]$
290.2.o.b	$290$	$2$	290.o	145.t	$28$	$96$	$8$	$2.316$		None		$2$	$0$	\(0\)	\(-4\)	\(-14\)	\(-12\)			$\mathrm{SU}(2)[C_{28}]$
290.2.t.a	$290$	$2$	290.t	145.o	$28$	$84$	$7$	$2.316$		None		$2$	$0$	\(14\)	\(0\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{28}]$
290.2.t.b	$290$	$2$	290.t	145.o	$28$	$96$	$8$	$2.316$		None		$2$	$0$	\(-16\)	\(0\)	\(0\)	\(2\)			$\mathrm{SU}(2)[C_{28}]$
290.3.f.a	$290$	$3$	290.f	145.f	$4$	$2$	$1$	$7.902$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(-2\)	\(-2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+i)q^{2}+(-1+i)q^{3}-2iq^{4}+\cdots\)
290.3.f.b	$290$	$3$	290.f	145.f	$4$	$2$	$1$	$7.902$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1-i)q^{2}+(1-i)q^{3}-2iq^{4}+5iq^{5}+\cdots\)
290.3.f.c	$290$	$3$	290.f	145.f	$4$	$28$	$14$	$7.902$		None		$2$	$0$	\(-28\)	\(6\)	\(10\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
290.3.f.d	$290$	$3$	290.f	145.f	$4$	$28$	$14$	$7.902$		None		$2$	$0$	\(28\)	\(-6\)	\(-10\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
290.3.g.a	$290$	$3$	290.g	145.h	$4$	$2$	$1$	$7.902$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(-2\)	\(-4\)	\(0\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+i)q^{2}+(-2-2i)q^{3}-2iq^{4}+\cdots\)
290.3.g.b	$290$	$3$	290.g	145.h	$4$	$2$	$1$	$7.902$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(-2\)	\(2\)	\(-6\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+i)q^{2}+(1+i)q^{3}-2iq^{4}+\cdots\)
290.3.g.c	$290$	$3$	290.g	145.h	$4$	$2$	$1$	$7.902$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(-2\)	\(-6\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1-i)q^{2}+(-1-i)q^{3}-2iq^{4}+\cdots\)
290.3.g.d	$290$	$3$	290.g	145.h	$4$	$2$	$1$	$7.902$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(4\)	\(0\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1-i)q^{2}+(2+2i)q^{3}-2iq^{4}-5iq^{5}+\cdots\)
290.3.g.e	$290$	$3$	290.g	145.h	$4$	$26$	$13$	$7.902$		None		$2$	$0$	\(-26\)	\(6\)	\(10\)	\(12\)			$\mathrm{SU}(2)[C_{4}]$
290.3.g.f	$290$	$3$	290.g	145.h	$4$	$26$	$13$	$7.902$		None		$2$	$0$	\(26\)	\(-6\)	\(10\)	\(12\)			$\mathrm{SU}(2)[C_{4}]$
290.3.h.a	$290$	$3$	290.h	5.c	$4$	$28$	$14$	$7.902$		None		$2$	$0$	\(-28\)	\(4\)	\(-4\)	\(-4\)			$\mathrm{SU}(2)[C_{4}]$
290.3.h.b	$290$	$3$	290.h	5.c	$4$	$28$	$14$	$7.902$		None		$2$	$0$	\(28\)	\(4\)	\(-4\)	\(-20\)			$\mathrm{SU}(2)[C_{4}]$
290.3.i.a	$290$	$3$	290.i	29.c	$4$	$4$	$2$	$7.902$	\(\Q(i, \sqrt{5})\)	None		$2$	$0$	\(-4\)	\(0\)	\(0\)	\(-4\)		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1-\beta _{1})q^{2}+(\beta _{2}+\beta _{3})q^{3}+2\beta _{1}q^{4}+\cdots\)