Newform search results

Results (1-50 of 79 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
944.1.h.a	$944$	$1$	944.h	59.b	$2$	$1$	$1$	$0.471$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)		$1$		\(q+q^{3}-q^{5}+q^{7}-q^{15}+2q^{17}+q^{19}+\cdots\)
944.1.h.b	$944$	$1$	944.h	59.b	$2$	$3$	$3$	$0.471$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}-\beta _{2}q^{7}+(1+\cdots)q^{9}+\cdots\)
944.1.j.a	$944$	$1$	944.j	944.j	$4$	$4$	$2$	$0.471$	\(\Q(\zeta_{8})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$1$		\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-1-\zeta_{8}^{2})q^{5}+\cdots\)
944.2.a.a	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-3\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-3q^{5}-3q^{7}+6q^{9}-6q^{11}+\cdots\)
944.2.a.b	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}+3q^{7}+q^{9}+q^{11}+\cdots\)
944.2.a.c	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
944.2.a.d	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}+3q^{7}+q^{9}-q^{11}+\cdots\)
944.2.a.e	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}+q^{7}-2q^{9}-6q^{11}+\cdots\)
944.2.a.f	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}+q^{7}-2q^{9}+2q^{11}+\cdots\)
944.2.a.g	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}-2q^{9}-4q^{11}+2q^{13}+\cdots\)
944.2.a.h	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}-2q^{9}-2q^{13}-q^{15}+\cdots\)
944.2.a.i	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+3q^{7}-2q^{9}+2q^{11}+\cdots\)
944.2.a.j	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-3q^{7}-2q^{9}-2q^{11}+\cdots\)
944.2.a.k	$944$	$2$	944.a	1.a	$1$	$1$	$1$	$7.538$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(3\)	\(-1\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{5}-3q^{7}+6q^{9}+4q^{11}+\cdots\)
944.2.a.l	$944$	$2$	944.a	1.a	$1$	$3$	$3$	$7.538$	3.3.321.1	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2})q^{3}+(-1-\beta _{1})q^{5}+(-3+\cdots)q^{7}+\cdots\)
944.2.a.m	$944$	$2$	944.a	1.a	$1$	$4$	$4$	$7.538$	4.4.6809.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+(-1+\beta _{1}-\beta _{3})q^{5}+(2+2\beta _{1}+\cdots)q^{7}+\cdots\)
944.2.a.n	$944$	$2$	944.a	1.a	$1$	$5$	$5$	$7.538$	5.5.138136.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{1}q^{5}+(-1+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
944.2.a.o	$944$	$2$	944.a	1.a	$1$	$6$	$6$	$7.538$	6.6.921465377.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(7\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(1+\beta _{2})q^{5}+(1+\beta _{4})q^{7}+\cdots\)
944.2.e.a	$944$	$2$	944.e	236.c	$2$	$4$	$4$	$7.538$	\(\Q(\sqrt{-3}, \sqrt{14})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{3}-q^{5}-\beta _{2}q^{7}+\beta _{1}q^{11}+\beta _{3}q^{13}+\cdots\)
944.2.e.b	$944$	$2$	944.e	236.c	$2$	$4$	$4$	$7.538$	\(\Q(\sqrt{2}, \sqrt{-3})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{3}-q^{5}-\beta _{2}q^{7}+\beta _{1}q^{11}+\beta _{2}q^{15}+\cdots\)
944.2.e.c	$944$	$2$	944.e	236.c	$2$	$4$	$4$	$7.538$	\(\Q(\sqrt{-3}, \sqrt{11})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(8\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+2q^{5}+\beta _{2}q^{7}+3q^{9}-\beta _{1}q^{11}-\beta _{3}q^{13}+\cdots\)
944.2.e.d	$944$	$2$	944.e	236.c	$2$	$6$	$6$	$7.538$	6.0.149721291.1	$_{}$	\(\Q(\sqrt{-59}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{3}+\beta _{2}q^{5}+(-\beta _{1}+\beta _{4})q^{7}+\cdots\)
944.2.e.e	$944$	$2$	944.e	236.c	$2$	$12$	$12$	$7.538$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	\(\Q(\sqrt{-59}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{10}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{10}q^{3}-\beta _{7}q^{5}+\beta _{5}q^{7}+(-3+\beta _{7}+\cdots)q^{9}+\cdots\)
944.2.i.a	$944$	$2$	944.i	16.e	$4$	$4$	$2$	$7.538$	\(\Q(\zeta_{8})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(\zeta_{8}-\zeta_{8}^{3})q^{2}+2q^{4}+(1+2\zeta_{8}+\zeta_{8}^{2}+\cdots)q^{5}+\cdots\)
944.2.i.b	$944$	$2$	944.i	16.e	$4$	$228$	$114$	$7.538$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
944.2.k.a	$944$	$2$	944.k	944.k	$4$	$236$	$118$	$7.538$		$_{}$	None	None		$4$	$0$	\(0\)	\(-4\)	\(-4\)	\(-8\)			$\mathrm{SU}(2)[C_{4}]$
944.2.m.a	$944$	$2$	944.m	59.c	$29$	$56$	$2$	$7.538$		$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(1\)	\(-4\)			$\mathrm{SU}(2)[C_{29}]$
944.2.m.b	$944$	$2$	944.m	59.c	$29$	$84$	$3$	$7.538$		$_{}$	None	None		$2$	$0$	\(0\)	\(5\)	\(-5\)	\(8\)			$\mathrm{SU}(2)[C_{29}]$
944.2.m.c	$944$	$2$	944.m	59.c	$29$	$112$	$4$	$7.538$		$_{}$	None	None		$2$	$0$	\(0\)	\(23\)	\(-25\)	\(23\)			$\mathrm{SU}(2)[C_{29}]$
944.2.m.d	$944$	$2$	944.m	59.c	$29$	$140$	$5$	$7.538$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(4\)			$\mathrm{SU}(2)[C_{29}]$
944.2.m.e	$944$	$2$	944.m	59.c	$29$	$196$	$7$	$7.538$		$_{}$	None	None		$2$	$0$	\(0\)	\(-3\)	\(3\)	\(-4\)			$\mathrm{SU}(2)[C_{29}]$
944.2.m.f	$944$	$2$	944.m	59.c	$29$	$224$	$8$	$7.538$		$_{}$	None	None		$2$	$0$	\(0\)	\(1\)	\(-3\)	\(0\)			$\mathrm{SU}(2)[C_{29}]$
944.2.q.a	$944$	$2$	944.q	236.g	$58$	$280$	$10$	$7.538$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)			$\mathrm{SU}(2)[C_{58}]$
944.2.q.b	$944$	$2$	944.q	236.g	$58$	$560$	$20$	$7.538$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{58}]$
944.2.v.a	$944$	$2$	944.v	944.v	$116$	$6608$	$118$	$7.538$		$_{}$	None	None		$4$	$0$	\(-58\)	\(-54\)	\(-54\)	\(-108\)			$\mathrm{SU}(2)[C_{116}]$
944.2.x.a	$944$	$2$	944.x	944.x	$116$	$6608$	$118$	$7.538$		$_{}$	None	None		$4$	$0$	\(-54\)	\(-54\)	\(-54\)	\(0\)			$\mathrm{SU}(2)[C_{116}]$
944.3.d.a	$944$	$3$	944.d	4.b	$2$	$18$	$18$	$25.722$	\(\mathbb{Q}[x]/(x^{18} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{17}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}+\beta _{3}q^{5}-\beta _{10}q^{7}+(-3+\beta _{2}+\cdots)q^{9}+\cdots\)
944.3.d.b	$944$	$3$	944.d	4.b	$2$	$40$	$40$	$25.722$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(12\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
944.3.h.a	$944$	$3$	944.h	59.b	$2$	$2$	$2$	$25.722$	\(\Q(\sqrt{-2}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(10\)	\(-2\)	\(-10\)		$3$	$\mathrm{SU}(2)[C_{2}]$	\(q+5q^{3}-q^{5}-5q^{7}+2^{4}q^{9}+5\beta q^{11}+\cdots\)
944.3.h.b	$944$	$3$	944.h	59.b	$2$	$3$	$3$	$25.722$	3.3.1593.1	$_{}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{1}-\beta _{2})q^{3}+(-\beta _{1}-2\beta _{2})q^{5}+\cdots\)
944.3.h.c	$944$	$3$	944.h	59.b	$2$	$4$	$4$	$25.722$	4.0.5719888.1	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(-6\)	\(8\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{3}q^{3}+(-2+\beta _{3})q^{5}+(3-2\beta _{3})q^{7}+\cdots\)
944.3.h.d	$944$	$3$	944.h	59.b	$2$	$6$	$6$	$25.722$	6.0.7196038400.1	$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(-8\)	\(-6\)		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1-\beta _{4})q^{3}+(-1+\beta _{5})q^{5}+(-1+\cdots)q^{7}+\cdots\)
944.3.h.e	$944$	$3$	944.h	59.b	$2$	$6$	$6$	$25.722$	6.6.4042474857.2	$_{}$	\(\Q(\sqrt{-59}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{3}+\beta _{5})q^{3}+(\beta _{3}-\beta _{4}-\beta _{5})q^{5}+\cdots\)
944.3.h.f	$944$	$3$	944.h	59.b	$2$	$8$	$8$	$25.722$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(14\)	\(18\)		$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+(2+\beta _{2}-\beta _{3})q^{5}+(1-2\beta _{2}+\cdots)q^{7}+\cdots\)
944.3.h.g	$944$	$3$	944.h	59.b	$2$	$30$	$30$	$25.722$		$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$
944.4.a.a	$944$	$4$	944.a	1.a	$1$	$1$	$1$	$55.698$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-5\)	\(33\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}-5q^{5}+33q^{7}-2q^{9}+4q^{11}+\cdots\)
944.4.a.b	$944$	$4$	944.a	1.a	$1$	$1$	$1$	$55.698$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}+3q^{7}-23q^{9}+59q^{11}+\cdots\)
944.4.a.c	$944$	$4$	944.a	1.a	$1$	$1$	$1$	$55.698$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(-13\)	\(27\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-13q^{5}+3^{3}q^{7}-26q^{9}+8q^{11}+\cdots\)
944.4.a.d	$944$	$4$	944.a	1.a	$1$	$1$	$1$	$55.698$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(7\)	\(5\)	\(15\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}+5q^{5}+15q^{7}+22q^{9}+50q^{11}+\cdots\)
944.4.a.e	$944$	$4$	944.a	1.a	$1$	$2$	$2$	$55.698$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(-31\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+3\beta )q^{3}+(-17+3\beta )q^{5}+(5+\cdots)q^{7}+\cdots\)