Newform search results

Results (1-50 of 103 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
308.1.g.a	$308$	$1$	308.g	308.g	$2$	$1$	$1$	$0.154$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$1$		\(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{9}+q^{11}+\cdots\)
308.1.g.b	$308$	$1$	308.g	308.g	$2$	$1$	$1$	$0.154$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-77}) \)	\(\Q(\sqrt{11}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{2}+q^{4}-q^{7}+q^{8}-q^{9}-q^{11}+\cdots\)
308.1.s.a	$308$	$1$	308.s	308.s	$10$	$4$	$1$	$0.154$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$1$		\(q+\zeta_{10}^{4}q^{2}-\zeta_{10}^{3}q^{4}-\zeta_{10}^{2}q^{7}+\cdots\)
308.1.s.b	$308$	$1$	308.s	308.s	$10$	$4$	$1$	$0.154$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}^{2}q^{7}-\zeta_{10}^{4}q^{8}+\cdots\)
308.2.a.a	$308$	$2$	308.a	1.a	$1$	$1$	$1$	$2.459$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-q^{7}-2q^{9}+q^{11}-4q^{13}+\cdots\)
308.2.a.b	$308$	$2$	308.a	1.a	$1$	$2$	$2$	$2.459$	\(\Q(\sqrt{6}) \)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2q^{5}-q^{7}+3q^{9}-q^{11}+\cdots\)
308.2.a.c	$308$	$2$	308.a	1.a	$1$	$3$	$3$	$2.459$	3.3.1016.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+q^{7}+(1+\cdots)q^{9}+\cdots\)
308.2.c.a	$308$	$2$	308.c	77.b	$2$	$4$	$4$	$2.459$	\(\Q(\sqrt{2}, \sqrt{-5})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{3}q^{3}-\beta _{3}q^{5}+(\beta _{1}-\beta _{2})q^{7}-2q^{9}+\cdots\)
308.2.c.b	$308$	$2$	308.c	77.b	$2$	$4$	$4$	$2.459$	\(\Q(\sqrt{-2}, \sqrt{-7})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{3}-2\beta _{2}q^{5}-\beta _{3}q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
308.2.d.a	$308$	$2$	308.d	44.c	$2$	$18$	$18$	$2.459$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(-1\)	\(0\)	\(0\)	\(18\)		$2^{7}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{12}q^{2}-\beta _{4}q^{3}-\beta _{8}q^{4}-\beta _{10}q^{5}+\cdots\)
308.2.d.b	$308$	$2$	308.d	44.c	$2$	$18$	$18$	$2.459$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(1\)	\(0\)	\(0\)	\(-18\)		$2^{7}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{12}q^{2}-\beta _{4}q^{3}-\beta _{8}q^{4}-\beta _{10}q^{5}+\cdots\)
308.2.f.a	$308$	$2$	308.f	28.d	$2$	$40$	$40$	$2.459$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
308.2.i.a	$308$	$2$	308.i	7.c	$3$	$6$	$3$	$2.459$	6.0.309123.1	$_{}$	None	None		$2$	$0$	\(0\)	\(-1\)	\(2\)	\(4\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{2}q^{3}+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5})q^{5}+\cdots\)
308.2.i.b	$308$	$2$	308.i	7.c	$3$	$6$	$3$	$2.459$	6.0.1783323.2	$_{}$	None	None		$2$	$0$	\(0\)	\(3\)	\(2\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\beta _{4}+\beta _{5})q^{3}+(\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots\)
308.2.j.a	$308$	$2$	308.j	11.c	$5$	$4$	$1$	$2.459$	\(\Q(\zeta_{10})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(-2\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(2\zeta_{10}+2\zeta_{10}^{3})q^{3}-2\zeta_{10}q^{5}+\zeta_{10}^{3}q^{7}+\cdots\)
308.2.j.b	$308$	$2$	308.j	11.c	$5$	$8$	$2$	$2.459$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(-8\)	\(-1\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-2-2\beta _{2}-\beta _{3}-\beta _{6})q^{3}+\beta _{7}q^{5}+\cdots\)
308.2.j.c	$308$	$2$	308.j	11.c	$5$	$12$	$3$	$2.459$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(6\)	\(1\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(\beta _{1}+\beta _{3}-\beta _{4}+\beta _{5}+\beta _{8}-\beta _{9}+\beta _{11})q^{3}+\cdots\)
308.2.l.a	$308$	$2$	308.l	28.f	$6$	$80$	$40$	$2.459$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
308.2.n.a	$308$	$2$	308.n	308.n	$6$	$4$	$2$	$2.459$	\(\Q(\sqrt{-3}, \sqrt{-7})\)	$_{}$	None	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q-\beta _{3}q^{2}+(1-2\beta _{1}-\beta _{2})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
308.2.n.b	$308$	$2$	308.n	308.n	$6$	$4$	$2$	$2.459$	\(\Q(\sqrt{-3}, \sqrt{-7})\)	$_{}$	None	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{3}q^{2}+(1-2\beta _{1}-\beta _{2})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
308.2.n.c	$308$	$2$	308.n	308.n	$6$	$80$	$40$	$2.459$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
308.2.q.a	$308$	$2$	308.q	77.i	$6$	$16$	$8$	$2.459$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(6\)	\(0\)		$7$	$\mathrm{SU}(2)[C_{6}]$	\(q-\beta _{3}q^{3}+\beta _{5}q^{5}+\beta _{9}q^{7}+\beta _{7}q^{9}+\cdots\)
308.2.t.a	$308$	$2$	308.t	308.t	$10$	$8$	$2$	$2.459$	8.0.37515625.1	$_{}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{10}]$	\(q-\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
308.2.t.b	$308$	$2$	308.t	308.t	$10$	$8$	$2$	$2.459$	8.0.37515625.1	$_{}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{10}]$	\(q-\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
308.2.t.c	$308$	$2$	308.t	308.t	$10$	$160$	$40$	$2.459$		$_{}$	None	None		$8$	$0$	\(-10\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
308.2.v.a	$308$	$2$	308.v	44.g	$10$	$72$	$18$	$2.459$		$_{}$	None	None		$2$	$0$	\(-1\)	\(0\)	\(0\)	\(18\)			$\mathrm{SU}(2)[C_{10}]$
308.2.v.b	$308$	$2$	308.v	44.g	$10$	$72$	$18$	$2.459$		$_{}$	None	None		$2$	$0$	\(1\)	\(0\)	\(0\)	\(-18\)			$\mathrm{SU}(2)[C_{10}]$
308.2.w.a	$308$	$2$	308.w	77.l	$10$	$32$	$8$	$2.459$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-5\)			$\mathrm{SU}(2)[C_{10}]$
308.2.y.a	$308$	$2$	308.y	77.m	$15$	$16$	$2$	$2.459$	16.0.\(\cdots\).1	$_{}$	None	None		$4$	$0$	\(0\)	\(1\)	\(-5\)	\(14\)		$1$	$\mathrm{SU}(2)[C_{15}]$	\(q+(-\beta _{3}+\beta _{6}+\beta _{7}+\beta _{12}-\beta _{15})q^{3}+\cdots\)
308.2.y.b	$308$	$2$	308.y	77.m	$15$	$48$	$6$	$2.459$		$_{}$	None	None		$4$	$0$	\(0\)	\(-1\)	\(7\)	\(-7\)			$\mathrm{SU}(2)[C_{15}]$
308.2.z.a	$308$	$2$	308.z	77.n	$30$	$64$	$8$	$2.459$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(5\)			$\mathrm{SU}(2)[C_{30}]$
308.2.bc.a	$308$	$2$	308.bc	308.ac	$30$	$352$	$44$	$2.459$		$_{}$	None	None		$8$	$0$	\(-5\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{30}]$
308.2.be.a	$308$	$2$	308.be	308.ae	$30$	$352$	$44$	$2.459$		$_{}$	None	None		$8$	$0$	\(-1\)	\(0\)	\(-18\)	\(0\)			$\mathrm{SU}(2)[C_{30}]$
308.3.b.a	$308$	$3$	308.b	7.b	$2$	$12$	$12$	$8.392$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}-\beta _{5}q^{5}+(\beta _{1}-\beta _{7})q^{7}+(1+\cdots)q^{9}+\cdots\)
308.3.e.a	$308$	$3$	308.e	4.b	$2$	$60$	$60$	$8.392$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
308.3.g.a	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{14}) \)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(-14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+\beta q^{3}+4q^{4}-2\beta q^{6}-7q^{7}+\cdots\)
308.3.g.b	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{22}) \)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+\beta q^{3}+4q^{4}-2\beta q^{6}+7q^{7}+\cdots\)
308.3.g.c	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{-7}) \)	$_{}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-3\)	\(0\)	\(0\)	\(14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(-1-\beta )q^{2}+(-1+3\beta )q^{4}+7q^{7}+\cdots\)
308.3.g.d	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{-7}) \)	$_{}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(3\)	\(0\)	\(0\)	\(-14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(1+\beta )q^{2}+(-1+3\beta )q^{4}-7q^{7}+\cdots\)
308.3.g.e	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{22}) \)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(4\)	\(0\)	\(0\)	\(-14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+\beta q^{3}+4q^{4}+2\beta q^{6}-7q^{7}+\cdots\)
308.3.g.f	$308$	$3$	308.g	308.g	$2$	$2$	$2$	$8.392$	\(\Q(\sqrt{14}) \)	$_{}$	\(\Q(\sqrt{-77}) \)	None	✓	$4$	$0$	\(4\)	\(0\)	\(0\)	\(14\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+\beta q^{3}+4q^{4}+2\beta q^{6}+7q^{7}+\cdots\)
308.3.g.g	$308$	$3$	308.g	308.g	$2$	$80$	$80$	$8.392$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
308.3.h.a	$308$	$3$	308.h	11.b	$2$	$12$	$12$	$8.392$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(-10\)	\(-6\)	\(0\)		$2^{9}\cdot 7$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+\beta _{3})q^{3}+(-1+\beta _{4})q^{5}+\beta _{5}q^{7}+\cdots\)
308.3.k.a	$308$	$3$	308.k	77.h	$6$	$32$	$16$	$8.392$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
308.3.m.a	$308$	$3$	308.m	308.m	$6$	$184$	$92$	$8.392$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(-12\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
308.3.o.a	$308$	$3$	308.o	28.g	$6$	$160$	$80$	$8.392$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
308.3.p.a	$308$	$3$	308.p	7.d	$6$	$28$	$14$	$8.392$		$_{}$	None	None		$2$	$0$	\(0\)	\(-6\)	\(0\)	\(14\)			$\mathrm{SU}(2)[C_{6}]$
308.3.r.a	$308$	$3$	308.r	11.d	$10$	$48$	$12$	$8.392$		$_{}$	None	None		$2$	$0$	\(0\)	\(10\)	\(6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
308.3.s.a	$308$	$3$	308.s	308.s	$10$	$8$	$2$	$8.392$	8.0.37515625.1	$_{}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(-3\)	\(0\)	\(0\)	\(14\)		$1$	$\mathrm{U}(1)[D_{10}]$	\(q+(-\beta _{4}+\beta _{5})q^{2}+(3\beta _{2}+\beta _{7})q^{4}-7\beta _{3}q^{7}+\cdots\)
308.3.s.b	$308$	$3$	308.s	308.s	$10$	$8$	$2$	$8.392$	8.0.37515625.1	$_{}$	\(\Q(\sqrt{-7}) \)	None		$4$	$0$	\(3\)	\(0\)	\(0\)	\(-14\)		$1$	$\mathrm{U}(1)[D_{10}]$	\(q+(1-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{4}+\beta _{5}-\beta _{6}+\cdots)q^{2}+\cdots\)