Newform search results

Results (19 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1145.1.g.a	$1145$	$1$	1145.g	1145.g	$4$	$2$	$1$	$0.571$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{5}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-iq^{4}-iq^{5}+q^{9}-q^{16}-q^{20}+\cdots\)
1145.1.h.a	$1145$	$1$	1145.h	1145.h	$4$	$2$	$1$	$0.571$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{229}) \)		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$1$		\(q+(-1-i)q^{3}-iq^{4}+iq^{5}+iq^{9}+\cdots\)
1145.1.h.b	$1145$	$1$	1145.h	1145.h	$4$	$4$	$2$	$0.571$	\(\Q(\zeta_{12})\)	$D_{12}$	None	\(\Q(\sqrt{229}) \)		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{12}+\zeta_{12}^{2})q^{3}+\zeta_{12}^{3}q^{4}+\zeta_{12}q^{5}+\cdots\)
1145.2.a.a	$1145$	$2$	1145.a	1.a	$1$	$1$	$1$	$9.143$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(-1\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}-q^{5}+2q^{6}-4q^{7}+\cdots\)
1145.2.a.b	$1145$	$2$	1145.a	1.a	$1$	$2$	$2$	$9.143$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(-2\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}-q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
1145.2.a.c	$1145$	$2$	1145.a	1.a	$1$	$15$	$15$	$9.143$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(4\)	\(0\)	\(-15\)	\(-10\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
1145.2.a.d	$1145$	$2$	1145.a	1.a	$1$	$17$	$17$	$9.143$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-8\)	\(-12\)	\(17\)	\(-26\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{12})q^{3}+(\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1145.2.a.e	$1145$	$2$	1145.a	1.a	$1$	$20$	$20$	$9.143$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(-7\)	\(4\)	\(-20\)	\(20\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{6}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
1145.2.a.f	$1145$	$2$	1145.a	1.a	$1$	$22$	$22$	$9.143$		$_{}$	None	None	✓	$1$	$0$	\(7\)	\(12\)	\(22\)	\(24\)	$-$		$\mathrm{SU}(2)$
1145.2.b.a	$1145$	$2$	1145.b	5.b	$2$	$4$	$4$	$9.143$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}-\beta _{2}q^{3}-q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
1145.2.b.b	$1145$	$2$	1145.b	5.b	$2$	$4$	$4$	$9.143$	\(\Q(\sqrt{-2}, \sqrt{3})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{3})q^{3}+\beta _{2}q^{4}+\cdots\)
1145.2.b.c	$1145$	$2$	1145.b	5.b	$2$	$44$	$44$	$9.143$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(3\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1145.2.b.d	$1145$	$2$	1145.b	5.b	$2$	$62$	$62$	$9.143$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1145.2.c.a	$1145$	$2$	1145.c	229.b	$2$	$38$	$38$	$9.143$		$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(-38\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1145.2.c.b	$1145$	$2$	1145.c	229.b	$2$	$40$	$40$	$9.143$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(40\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1145.4.a.a	$1145$	$4$	1145.a	1.a	$1$	$54$	$54$	$67.557$		$_{}$	None	None	✓	$1$	$1$	\(-15\)	\(-45\)	\(270\)	\(-193\)	$-$		$\mathrm{SU}(2)$
1145.4.a.b	$1145$	$4$	1145.a	1.a	$1$	$54$	$54$	$67.557$		$_{}$	None	None	✓	$1$	$1$	\(9\)	\(-5\)	\(-270\)	\(-115\)	$-$		$\mathrm{SU}(2)$
1145.4.a.c	$1145$	$4$	1145.a	1.a	$1$	$60$	$60$	$67.557$		$_{}$	None	None	✓	$1$	$0$	\(-7\)	\(7\)	\(-300\)	\(123\)	$+$		$\mathrm{SU}(2)$
1145.4.a.d	$1145$	$4$	1145.a	1.a	$1$	$60$	$60$	$67.557$		$_{}$	None	None	✓	$1$	$0$	\(21\)	\(39\)	\(300\)	\(213\)	$+$		$\mathrm{SU}(2)$