Newform search results

Results (1-50 of 67 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
178.2.a.a	$178$	$2$	178.a	1.a	$1$	$1$	$1$	$1.421$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}-q^{8}+\cdots\)
178.2.a.b	$178$	$2$	178.a	1.a	$1$	$1$	$1$	$1.421$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-4q^{7}+\cdots\)
178.2.a.c	$178$	$2$	178.a	1.a	$1$	$2$	$2$	$1.421$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+(-1-2\beta )q^{5}+\cdots\)
178.2.a.d	$178$	$2$	178.a	1.a	$1$	$3$	$3$	$1.421$	3.3.568.1	None	✓	$1$	$0$	\(3\)	\(1\)	\(-1\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{2}q^{6}+\cdots\)
178.2.b.a	$178$	$2$	178.b	89.b	$2$	$2$	$2$	$1.421$	\(\Q(\sqrt{-5}) \)	None		$2$	$0$	\(-2\)	\(0\)	\(-4\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}+q^{4}-2q^{5}+\beta q^{7}-q^{8}+3q^{9}+\cdots\)
178.2.b.b	$178$	$2$	178.b	89.b	$2$	$2$	$2$	$1.421$	\(\Q(\sqrt{-5}) \)	None		$2$	$0$	\(-2\)	\(0\)	\(6\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{2}+\beta q^{3}+q^{4}+3q^{5}-\beta q^{6}-q^{8}+\cdots\)
178.2.b.c	$178$	$2$	178.b	89.b	$2$	$4$	$4$	$1.421$	4.0.2312.1	None		$2$	$0$	\(4\)	\(0\)	\(-6\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+q^{2}+\beta _{3}q^{3}+q^{4}+(-2+\beta _{2})q^{5}+\cdots\)
178.2.c.a	$178$	$2$	178.c	89.c	$4$	$2$	$1$	$1.421$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(-2\)	\(2\)	\(0\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-q^{2}+(1+i)q^{3}+q^{4}-4iq^{5}+(-1+\cdots)q^{6}+\cdots\)
178.2.c.b	$178$	$2$	178.c	89.c	$4$	$2$	$1$	$1.421$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+q^{2}+(-1-i)q^{3}+q^{4}-2iq^{5}+\cdots\)
178.2.c.c	$178$	$2$	178.c	89.c	$4$	$4$	$2$	$1.421$	\(\Q(\zeta_{12})\)	None		$2$	$0$	\(4\)	\(2\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{4}]$	\(q+q^{2}+(1-\zeta_{12}+\zeta_{12}^{2})q^{3}+q^{4}+\cdots\)
178.2.c.d	$178$	$2$	178.c	89.c	$4$	$6$	$3$	$1.421$	6.0.8248384.1	None		$2$	$0$	\(-6\)	\(-4\)	\(0\)	\(6\)		$2$	$\mathrm{SU}(2)[C_{4}]$	\(q-q^{2}+(-1+\beta _{2}+\beta _{5})q^{3}+q^{4}+\beta _{1}q^{5}+\cdots\)
178.2.e.a	$178$	$2$	178.e	89.e	$11$	$30$	$3$	$1.421$		None		$2$	$0$	\(3\)	\(11\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{11}]$
178.2.e.b	$178$	$2$	178.e	89.e	$11$	$50$	$5$	$1.421$		None		$2$	$0$	\(-5\)	\(5\)	\(-8\)	\(-4\)			$\mathrm{SU}(2)[C_{11}]$
178.2.f.a	$178$	$2$	178.f	89.f	$22$	$40$	$4$	$1.421$		None		$2$	$0$	\(-4\)	\(-11\)	\(6\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
178.2.f.b	$178$	$2$	178.f	89.f	$22$	$40$	$4$	$1.421$		None		$2$	$0$	\(4\)	\(-11\)	\(-2\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
178.2.g.a	$178$	$2$	178.g	89.g	$44$	$60$	$3$	$1.421$		None		$2$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{44}]$
178.2.g.b	$178$	$2$	178.g	89.g	$44$	$80$	$4$	$1.421$		None		$2$	$0$	\(8\)	\(2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{44}]$
178.3.d.a	$178$	$3$	178.d	89.d	$8$	$28$	$7$	$4.850$		None		$2$	$0$	\(0\)	\(-12\)	\(0\)	\(-4\)			$\mathrm{SU}(2)[C_{8}]$
178.3.d.b	$178$	$3$	178.d	89.d	$8$	$32$	$8$	$4.850$		None		$2$	$0$	\(0\)	\(4\)	\(-12\)	\(4\)			$\mathrm{SU}(2)[C_{8}]$
178.3.h.a	$178$	$3$	178.h	89.h	$88$	$280$	$7$	$4.850$		None		$2$	$0$	\(0\)	\(12\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{88}]$
178.3.h.b	$178$	$3$	178.h	89.h	$88$	$320$	$8$	$4.850$		None		$2$	$0$	\(0\)	\(-4\)	\(12\)	\(-4\)			$\mathrm{SU}(2)[C_{88}]$
178.4.a.a	$178$	$4$	178.a	1.a	$1$	$3$	$3$	$10.502$	3.3.564.1	None	✓	$1$	$1$	\(6\)	\(-9\)	\(-19\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+(-3+\beta _{1}+\beta _{2})q^{3}+4q^{4}+\cdots\)
178.4.a.b	$178$	$4$	178.a	1.a	$1$	$5$	$5$	$10.502$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(3\)	\(17\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(1-\beta _{1})q^{3}+4q^{4}+(3+\beta _{2}+\cdots)q^{5}+\cdots\)
178.4.a.c	$178$	$4$	178.a	1.a	$1$	$6$	$6$	$10.502$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-12\)	\(-9\)	\(-3\)	\(-26\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-1-\beta _{1})q^{3}+4q^{4}+(-1+\cdots)q^{5}+\cdots\)
178.4.a.d	$178$	$4$	178.a	1.a	$1$	$8$	$8$	$10.502$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(9\)	\(21\)	\(26\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+(1+\beta _{1})q^{3}+4q^{4}+(3+\beta _{2}+\cdots)q^{5}+\cdots\)
178.4.b.a	$178$	$4$	178.b	89.b	$2$	$10$	$10$	$10.502$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(20\)	\(0\)	\(8\)	\(0\)		$2^{5}\cdot 5^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+(1+\beta _{3})q^{5}+\cdots\)
178.4.b.b	$178$	$4$	178.b	89.b	$2$	$12$	$12$	$10.502$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(-24\)	\(0\)	\(-4\)	\(0\)		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	\(q-2q^{2}+\beta _{1}q^{3}+4q^{4}+\beta _{3}q^{5}-2\beta _{1}q^{6}+\cdots\)
178.4.c.a	$178$	$4$	178.c	89.c	$4$	$22$	$11$	$10.502$		None		$2$	$0$	\(-44\)	\(12\)	\(0\)	\(20\)			$\mathrm{SU}(2)[C_{4}]$
178.4.c.b	$178$	$4$	178.c	89.c	$4$	$24$	$12$	$10.502$		None		$2$	$0$	\(48\)	\(-2\)	\(0\)	\(-20\)			$\mathrm{SU}(2)[C_{4}]$
178.4.e.a	$178$	$4$	178.e	89.e	$11$	$110$	$11$	$10.502$		None		$2$	$0$	\(-22\)	\(-22\)	\(-2\)	\(-24\)			$\mathrm{SU}(2)[C_{11}]$
178.4.e.b	$178$	$4$	178.e	89.e	$11$	$110$	$11$	$10.502$		None		$2$	$0$	\(22\)	\(-16\)	\(-14\)	\(24\)			$\mathrm{SU}(2)[C_{11}]$
178.4.f.a	$178$	$4$	178.f	89.f	$22$	$100$	$10$	$10.502$		None		$2$	$0$	\(-20\)	\(22\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
178.4.f.b	$178$	$4$	178.f	89.f	$22$	$120$	$12$	$10.502$		None		$2$	$0$	\(24\)	\(22\)	\(4\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
178.4.g.a	$178$	$4$	178.g	89.g	$44$	$220$	$11$	$10.502$		None		$2$	$0$	\(44\)	\(-12\)	\(0\)	\(-20\)			$\mathrm{SU}(2)[C_{44}]$
178.4.g.b	$178$	$4$	178.g	89.g	$44$	$240$	$12$	$10.502$		None		$2$	$0$	\(-48\)	\(2\)	\(0\)	\(20\)			$\mathrm{SU}(2)[C_{44}]$
178.6.a.a	$178$	$6$	178.a	1.a	$1$	$7$	$7$	$28.548$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(28\)	\(-36\)	\(-80\)	\(-158\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}+(-5-\beta _{1})q^{3}+2^{4}q^{4}+(-11+\cdots)q^{5}+\cdots\)
178.6.a.b	$178$	$6$	178.a	1.a	$1$	$9$	$9$	$28.548$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-36\)	\(18\)	\(8\)	\(158\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-4q^{2}+(2-\beta _{1})q^{3}+2^{4}q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
178.6.a.c	$178$	$6$	178.a	1.a	$1$	$10$	$10$	$28.548$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-40\)	\(-18\)	\(-92\)	\(-38\)	$+$	$2^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q-4q^{2}+(-2+\beta _{1})q^{3}+2^{4}q^{4}+(-9+\cdots)q^{5}+\cdots\)
178.6.a.d	$178$	$6$	178.a	1.a	$1$	$12$	$12$	$28.548$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(48\)	\(18\)	\(120\)	\(38\)	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+4q^{2}+(1+\beta _{1})q^{3}+2^{4}q^{4}+(10+\beta _{4}+\cdots)q^{5}+\cdots\)
178.6.b.a	$178$	$6$	178.b	89.b	$2$	$18$	$18$	$28.548$	\(\mathbb{Q}[x]/(x^{18} + \cdots)\)	None		$2$	$0$	\(-72\)	\(0\)	\(106\)	\(0\)		$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	\(q-4q^{2}+\beta _{1}q^{3}+2^{4}q^{4}+(6+\beta _{3})q^{5}+\cdots\)
178.6.b.b	$178$	$6$	178.b	89.b	$2$	$20$	$20$	$28.548$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	None		$2$	$0$	\(80\)	\(0\)	\(-18\)	\(0\)		$2^{13}\cdot 5$	$\mathrm{SU}(2)[C_{2}]$	\(q+4q^{2}+\beta _{1}q^{3}+2^{4}q^{4}+(-1+\beta _{3}+\cdots)q^{5}+\cdots\)
178.6.c.a	$178$	$6$	178.c	89.c	$4$	$36$	$18$	$28.548$		None		$2$	$0$	\(144\)	\(-24\)	\(0\)	\(-100\)			$\mathrm{SU}(2)[C_{4}]$
178.6.c.b	$178$	$6$	178.c	89.c	$4$	$38$	$19$	$28.548$		None		$2$	$0$	\(-152\)	\(-2\)	\(0\)	\(100\)			$\mathrm{SU}(2)[C_{4}]$
178.8.a.a	$178$	$8$	178.a	1.a	$1$	$10$	$10$	$55.605$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(80\)	\(-54\)	\(-488\)	\(-964\)	$-$	$2^{12}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+8q^{2}+(-5-\beta _{1})q^{3}+2^{6}q^{4}+(-7^{2}+\cdots)q^{5}+\cdots\)
178.8.a.b	$178$	$8$	178.a	1.a	$1$	$12$	$12$	$55.605$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-96\)	\(54\)	\(236\)	\(-52\)	$+$	$2^{17}$	$\mathrm{SU}(2)$	\(q-8q^{2}+(5-\beta _{1})q^{3}+2^{6}q^{4}+(20-\beta _{3}+\cdots)q^{5}+\cdots\)
178.8.a.c	$178$	$8$	178.a	1.a	$1$	$13$	$13$	$55.605$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-104\)	\(-54\)	\(-264\)	\(-1424\)	$-$	$2^{12}$	$\mathrm{SU}(2)$	\(q-8q^{2}+(-4-\beta _{1})q^{3}+2^{6}q^{4}+(-20+\cdots)q^{5}+\cdots\)
178.8.a.d	$178$	$8$	178.a	1.a	$1$	$15$	$15$	$55.605$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(120\)	\(108\)	\(512\)	\(408\)	$+$	$2^{16}$	$\mathrm{SU}(2)$	\(q+8q^{2}+(7+\beta _{1})q^{3}+2^{6}q^{4}+(34+\beta _{1}+\cdots)q^{5}+\cdots\)
178.8.b.a	$178$	$8$	178.b	89.b	$2$	$26$	$26$	$55.605$		None		$2$	$0$	\(-208\)	\(0\)	\(558\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
178.8.b.b	$178$	$8$	178.b	89.b	$2$	$26$	$26$	$55.605$		None		$2$	$0$	\(208\)	\(0\)	\(86\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
178.10.a.a	$178$	$10$	178.a	1.a	$1$	$14$	$14$	$91.676$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(224\)	\(-243\)	\(-3017\)	\(-4832\)	$+$	$2^{14}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(-17-\beta _{1})q^{3}+2^{8}q^{4}+\cdots\)