Newform search results

Results (1-50 of 62 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
801.2.a.a	$801$	$2$	801.a	1.a	$1$	$1$	$1$	$6.396$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+2q^{5}+2q^{7}+3q^{8}-2q^{10}+\cdots\)
801.2.a.b	$801$	$2$	801.a	1.a	$1$	$1$	$1$	$6.396$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-4q^{5}-2q^{7}-2q^{11}+6q^{13}+\cdots\)
801.2.a.c	$801$	$2$	801.a	1.a	$1$	$1$	$1$	$6.396$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+2q^{7}-6q^{11}+2q^{13}+4q^{16}+\cdots\)
801.2.a.d	$801$	$2$	801.a	1.a	$1$	$1$	$1$	$6.396$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(1\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+q^{5}-4q^{7}-3q^{8}+q^{10}+\cdots\)
801.2.a.e	$801$	$2$	801.a	1.a	$1$	$3$	$3$	$6.396$	3.3.169.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-5\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
801.2.a.f	$801$	$2$	801.a	1.a	$1$	$3$	$3$	$6.396$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-2\beta _{1}+\beta _{2})q^{5}+\cdots\)
801.2.a.g	$801$	$2$	801.a	1.a	$1$	$3$	$3$	$6.396$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(7\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+(1+2\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots\)
801.2.a.h	$801$	$2$	801.a	1.a	$1$	$4$	$4$	$6.396$	4.4.23377.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-3\)	\(6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
801.2.a.i	$801$	$2$	801.a	1.a	$1$	$5$	$5$	$6.396$	5.5.535120.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(1\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(3-\beta _{1}+\beta _{3})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
801.2.a.j	$801$	$2$	801.a	1.a	$1$	$7$	$7$	$6.396$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-4\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
801.2.a.k	$801$	$2$	801.a	1.a	$1$	$7$	$7$	$6.396$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
801.2.d.a	$801$	$2$	801.d	89.b	$2$	$2$	$2$	$6.396$	\(\Q(\sqrt{-89}) \)	\(\Q(\sqrt{-267}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}+4q^{16}-\beta q^{23}-5q^{25}-\beta q^{29}+\cdots\)
801.2.d.b	$801$	$2$	801.d	89.b	$2$	$6$	$6$	$6.396$	6.0.96878912.1	None		$2$	$1$	\(-4\)	\(0\)	\(-10\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1-\beta _{4})q^{2}+(2-\beta _{2}+\beta _{4})q^{4}+\cdots\)
801.2.d.c	$801$	$2$	801.d	89.b	$2$	$6$	$6$	$6.396$	6.0.7009280.1	None		$2$	$0$	\(2\)	\(0\)	\(2\)	\(0\)		$5$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}+(-\beta _{2}+\beta _{4})q^{4}+(-\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots\)
801.2.d.d	$801$	$2$	801.d	89.b	$2$	$6$	$6$	$6.396$	6.0.96878912.1	None		$2$	$0$	\(4\)	\(0\)	\(10\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1+\beta _{4})q^{2}+(2-\beta _{2}+\beta _{4})q^{4}+(1+\cdots)q^{5}+\cdots\)
801.2.d.e	$801$	$2$	801.d	89.b	$2$	$16$	$16$	$6.396$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(2\)	\(0\)	\(-8\)	\(0\)		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{5}q^{2}+(1-\beta _{1})q^{4}-\beta _{4}q^{5}+\beta _{3}q^{7}+\cdots\)
801.2.e.a	$801$	$2$	801.e	9.c	$3$	$76$	$38$	$6.396$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(21\)			$\mathrm{SU}(2)[C_{3}]$
801.2.e.b	$801$	$2$	801.e	9.c	$3$	$100$	$50$	$6.396$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-23\)			$\mathrm{SU}(2)[C_{3}]$
801.2.g.a	$801$	$2$	801.g	89.c	$4$	$14$	$7$	$6.396$	\(\mathbb{Q}[x]/(x^{14} + \cdots)\)	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{2}q^{2}+(\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6})q^{4}+\cdots\)
801.2.g.b	$801$	$2$	801.g	89.c	$4$	$28$	$14$	$6.396$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
801.2.g.c	$801$	$2$	801.g	89.c	$4$	$32$	$16$	$6.396$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
801.2.h.a	$801$	$2$	801.h	801.h	$6$	$176$	$88$	$6.396$		None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
801.2.k.a	$801$	$2$	801.k	267.g	$8$	$60$	$15$	$6.396$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
801.2.k.b	$801$	$2$	801.k	267.g	$8$	$60$	$15$	$6.396$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{8}]$
801.2.m.a	$801$	$2$	801.m	89.e	$11$	$60$	$6$	$6.396$		None		$2$	$0$	\(7\)	\(0\)	\(1\)	\(-9\)			$\mathrm{SU}(2)[C_{11}]$
801.2.m.b	$801$	$2$	801.m	89.e	$11$	$80$	$8$	$6.396$		None		$2$	$0$	\(1\)	\(0\)	\(4\)	\(-2\)			$\mathrm{SU}(2)[C_{11}]$
801.2.m.c	$801$	$2$	801.m	89.e	$11$	$80$	$8$	$6.396$		None		$2$	$0$	\(1\)	\(0\)	\(4\)	\(2\)			$\mathrm{SU}(2)[C_{11}]$
801.2.m.d	$801$	$2$	801.m	89.e	$11$	$140$	$14$	$6.396$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{11}]$
801.2.n.a	$801$	$2$	801.n	801.n	$12$	$352$	$88$	$6.396$		None		$4$	$0$	\(-8\)	\(-4\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{12}]$
801.2.p.a	$801$	$2$	801.p	89.f	$22$	$60$	$6$	$6.396$		None		$2$	$0$	\(9\)	\(0\)	\(9\)	\(-11\)			$\mathrm{SU}(2)[C_{22}]$
801.2.p.b	$801$	$2$	801.p	89.f	$22$	$140$	$14$	$6.396$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
801.2.p.c	$801$	$2$	801.p	89.f	$22$	$160$	$16$	$6.396$		None		$2$	$0$	\(-2\)	\(0\)	\(8\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
801.2.t.a	$801$	$2$	801.t	801.t	$24$	$704$	$88$	$6.396$		None		$4$	$0$	\(-24\)	\(-4\)	\(-12\)	\(-4\)			$\mathrm{SU}(2)[C_{24}]$
801.2.u.a	$801$	$2$	801.u	801.u	$33$	$1760$	$88$	$6.396$		None		$4$	$0$	\(-11\)	\(-11\)	\(-11\)	\(-9\)			$\mathrm{SU}(2)[C_{33}]$
801.2.v.a	$801$	$2$	801.v	89.g	$44$	$140$	$7$	$6.396$		None		$2$	$0$	\(20\)	\(0\)	\(22\)	\(-20\)			$\mathrm{SU}(2)[C_{44}]$
801.2.v.b	$801$	$2$	801.v	89.g	$44$	$280$	$14$	$6.396$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{44}]$
801.2.v.c	$801$	$2$	801.v	89.g	$44$	$320$	$16$	$6.396$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{44}]$
801.2.z.a	$801$	$2$	801.z	801.z	$66$	$1760$	$88$	$6.396$		None		$4$	$0$	\(-11\)	\(-33\)	\(-7\)	\(-11\)			$\mathrm{SU}(2)[C_{66}]$
801.2.bb.a	$801$	$2$	801.bb	267.p	$88$	$600$	$15$	$6.396$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{88}]$
801.2.bb.b	$801$	$2$	801.bb	267.p	$88$	$600$	$15$	$6.396$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{88}]$
801.2.bd.a	$801$	$2$	801.bd	801.ad	$132$	$3520$	$88$	$6.396$		None		$4$	$0$	\(-14\)	\(-40\)	\(-22\)	\(-20\)			$\mathrm{SU}(2)[C_{132}]$
801.2.be.a	$801$	$2$	801.be	801.ae	$264$	$7040$	$88$	$6.396$		None		$4$	$0$	\(-108\)	\(-84\)	\(-120\)	\(-40\)			$\mathrm{SU}(2)[C_{264}]$
801.3.b.a	$801$	$3$	801.b	267.b	$2$	$60$	$60$	$21.826$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
801.3.c.a	$801$	$3$	801.c	3.b	$2$	$60$	$60$	$21.826$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
801.4.a.a	$801$	$4$	801.a	1.a	$1$	$1$	$1$	$47.261$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}-2q^{5}-4q^{7}-15q^{8}+\cdots\)
801.4.a.b	$801$	$4$	801.a	1.a	$1$	$1$	$1$	$47.261$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(-11\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+8q^{4}-11q^{5}+8q^{7}-44q^{10}+\cdots\)
801.4.a.c	$801$	$4$	801.a	1.a	$1$	$6$	$6$	$47.261$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(27\)	\(-82\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+(5+\cdots)q^{5}+\cdots\)
801.4.a.d	$801$	$4$	801.a	1.a	$1$	$10$	$10$	$47.261$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(21\)	\(-28\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(2+\beta _{1}+\beta _{8}+\cdots)q^{5}+\cdots\)
801.4.a.e	$801$	$4$	801.a	1.a	$1$	$10$	$10$	$47.261$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(0\)	\(41\)	\(-42\)	$+$	$3^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(3-\beta _{1}+\beta _{2})q^{4}+(3+\cdots)q^{5}+\cdots\)
801.4.a.f	$801$	$4$	801.a	1.a	$1$	$12$	$12$	$47.261$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-10\)	\(0\)	\(-49\)	\(28\)	$-$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(4-\beta _{1}+\beta _{2})q^{4}+\cdots\)