Newform search results

Results (34 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1143.1.d.a	$1143$	$1$	1143.d	127.b	$2$	$1$	$1$	$0.570$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-127}) \)	\(\Q(\sqrt{381}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{4}+2q^{13}+q^{16}-2q^{19}+q^{25}+\cdots\)
1143.1.d.b	$1143$	$1$	1143.d	127.b	$2$	$2$	$2$	$0.570$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-127}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(1-\beta )q^{2}+(1-\beta )q^{4}+q^{8}+\beta q^{11}+\cdots\)
1143.1.d.c	$1143$	$1$	1143.d	127.b	$2$	$4$	$4$	$0.570$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-127}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{8}+\cdots\)
1143.1.i.a	$1143$	$1$	1143.i	381.f	$6$	$4$	$2$	$0.570$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{4}-\beta _{3}q^{5}+(\beta _{1}-\beta _{3})q^{11}+(-1+\cdots)q^{13}+\cdots\)
1143.1.l.a	$1143$	$1$	1143.l	1143.l	$6$	$4$	$2$	$0.570$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{5}q^{6}+\cdots\)
1143.1.t.a	$1143$	$1$	1143.t	127.d	$6$	$2$	$1$	$0.570$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-q^{4}+\zeta_{6}q^{13}+q^{16}+q^{19}+q^{25}+\cdots\)
1143.1.y.a	$1143$	$1$	1143.y	127.g	$14$	$6$	$1$	$0.570$	\(\Q(\zeta_{14})\)	$D_{14}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(7\)		$1$		\(q+\zeta_{14}q^{4}+(1+\zeta_{14}^{5})q^{7}+(-\zeta_{14}+\cdots)q^{13}+\cdots\)
1143.1.bo.a	$1143$	$1$	1143.bo	127.j	$42$	$12$	$1$	$0.570$	\(\Q(\zeta_{21})\)	$D_{42}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-7\)		$1$		\(q+\zeta_{42}^{9}q^{4}+(-\zeta_{42}^{7}-\zeta_{42}^{10})q^{7}+\cdots\)
1143.2.a.a	$1143$	$2$	1143.a	1.a	$1$	$1$	$1$	$9.127$	\(\Q\)	$_{}$	None	None	✓	$1$	$2$	\(-2\)	\(0\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}-3q^{5}-4q^{7}+6q^{10}+\cdots\)
1143.2.a.b	$1143$	$2$	1143.a	1.a	$1$	$1$	$1$	$9.127$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{5}+4q^{11}+q^{13}+4q^{16}+\cdots\)
1143.2.a.c	$1143$	$2$	1143.a	1.a	$1$	$1$	$1$	$9.127$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+q^{5}-2q^{7}+4q^{11}-3q^{13}+\cdots\)
1143.2.a.d	$1143$	$2$	1143.a	1.a	$1$	$1$	$1$	$9.127$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+q^{5}-4q^{11}+q^{13}+4q^{16}+\cdots\)
1143.2.a.e	$1143$	$2$	1143.a	1.a	$1$	$3$	$3$	$9.127$	\(\Q(\zeta_{18})^+\)	$_{}$	None	None	✓	$1$	$0$	\(3\)	\(0\)	\(6\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots\)
1143.2.a.f	$1143$	$2$	1143.a	1.a	$1$	$4$	$4$	$9.127$	\(\Q(\sqrt{3}, \sqrt{7})\)	$_{}$	None	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{2}+q^{4}-\beta _{1}q^{5}+(-1+\cdots)q^{7}+\cdots\)
1143.2.a.g	$1143$	$2$	1143.a	1.a	$1$	$5$	$5$	$9.127$	5.5.246832.1	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
1143.2.a.h	$1143$	$2$	1143.a	1.a	$1$	$5$	$5$	$9.127$	5.5.81509.1	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(0\)	\(5\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{1}+\beta _{2}+\beta _{4})q^{5}+\cdots\)
1143.2.a.i	$1143$	$2$	1143.a	1.a	$1$	$7$	$7$	$9.127$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-8\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots\)
1143.2.a.j	$1143$	$2$	1143.a	1.a	$1$	$9$	$9$	$9.127$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(10\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{5}q^{5}+(1-\beta _{8})q^{7}+\cdots\)
1143.2.a.k	$1143$	$2$	1143.a	1.a	$1$	$16$	$16$	$9.127$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(10\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{14}q^{5}+(1+\cdots)q^{7}+\cdots\)
1143.2.c.a	$1143$	$2$	1143.c	381.c	$2$	$4$	$4$	$9.127$	\(\Q(\sqrt{-2}, \sqrt{7})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+2q^{4}+\beta _{3}q^{5}+\beta _{2}q^{7}-2\beta _{1}q^{11}+\cdots\)
1143.2.c.b	$1143$	$2$	1143.c	381.c	$2$	$20$	$20$	$9.127$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	\(\Q(\sqrt{-127}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{9}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{2}+(-2+\beta _{2})q^{4}+(-2\beta _{1}+\beta _{3}+\cdots)q^{8}+\cdots\)
1143.2.c.c	$1143$	$2$	1143.c	381.c	$2$	$20$	$20$	$9.127$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{7}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{11}q^{2}+(-1+\beta _{2})q^{4}-\beta _{12}q^{5}+\cdots\)
1143.2.j.a	$1143$	$2$	1143.j	381.g	$6$	$88$	$44$	$9.127$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(12\)			$\mathrm{SU}(2)[C_{6}]$
1143.3.b.a	$1143$	$3$	1143.b	3.b	$2$	$84$	$84$	$31.144$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
1143.4.a.a	$1143$	$4$	1143.a	1.a	$1$	$1$	$1$	$67.439$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(0\)	\(15\)	\(-25\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}+15q^{5}-5^{2}q^{7}-15q^{8}+\cdots\)
1143.4.a.b	$1143$	$4$	1143.a	1.a	$1$	$4$	$4$	$67.439$	\(\Q(\sqrt{13}, \sqrt{73})\)	$_{}$	None	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-42\)	$-$	$2^{2}\cdot 3\cdot 7$	$\mathrm{SU}(2)$	\(q-8q^{4}+\beta _{2}q^{5}+(-11-\beta _{3})q^{7}-\beta _{1}q^{11}+\cdots\)
1143.4.a.c	$1143$	$4$	1143.a	1.a	$1$	$11$	$11$	$67.439$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(5\)	\(0\)	\(10\)	\(-51\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
1143.4.a.d	$1143$	$4$	1143.a	1.a	$1$	$13$	$13$	$67.439$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(8\)	\(0\)	\(46\)	\(-26\)	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(3-\beta _{1}+\beta _{8}+\beta _{9})q^{4}+\cdots\)
1143.4.a.e	$1143$	$4$	1143.a	1.a	$1$	$16$	$16$	$67.439$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-10\)	\(-9\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(5+\beta _{2})q^{4}+(-1+\beta _{11}+\cdots)q^{5}+\cdots\)
1143.4.a.f	$1143$	$4$	1143.a	1.a	$1$	$16$	$16$	$67.439$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(3\)	\(0\)	\(20\)	\(-9\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(4+\beta _{2})q^{4}+(1+\beta _{13})q^{5}+\cdots\)
1143.4.a.g	$1143$	$4$	1143.a	1.a	$1$	$17$	$17$	$67.439$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-9\)	\(0\)	\(-69\)	\(55\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(5+\beta _{2})q^{4}+(-4+\cdots)q^{5}+\cdots\)
1143.4.a.h	$1143$	$4$	1143.a	1.a	$1$	$21$	$21$	$67.439$		$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-20\)	\(61\)	$+$		$\mathrm{SU}(2)$
1143.4.a.i	$1143$	$4$	1143.a	1.a	$1$	$22$	$22$	$67.439$		$_{}$	None	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-10\)	$-$		$\mathrm{SU}(2)$
1143.4.a.j	$1143$	$4$	1143.a	1.a	$1$	$36$	$36$	$67.439$		$_{}$	None	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(60\)	$+$		$\mathrm{SU}(2)$