Newform search results

Results (1-50 of 52 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
894.2.a.a	$894$	$2$	894.a	1.a	$1$	$1$	$1$	$7.139$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-3\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{8}+\cdots\)
894.2.a.b	$894$	$2$	894.a	1.a	$1$	$1$	$1$	$7.139$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
894.2.a.c	$894$	$2$	894.a	1.a	$1$	$1$	$1$	$7.139$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
894.2.a.d	$894$	$2$	894.a	1.a	$1$	$1$	$1$	$7.139$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(3\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+2q^{7}+\cdots\)
894.2.a.e	$894$	$2$	894.a	1.a	$1$	$1$	$1$	$7.139$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-3\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}+2q^{7}+\cdots\)
894.2.a.f	$894$	$2$	894.a	1.a	$1$	$1$	$1$	$7.139$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
894.2.a.g	$894$	$2$	894.a	1.a	$1$	$1$	$1$	$7.139$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-3\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-4q^{7}+\cdots\)
894.2.a.h	$894$	$2$	894.a	1.a	$1$	$2$	$2$	$7.139$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(-1\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-\beta q^{5}+q^{6}+4q^{7}+\cdots\)
894.2.a.i	$894$	$2$	894.a	1.a	$1$	$3$	$3$	$7.139$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(3\)	\(3\)	\(3\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)
894.2.a.j	$894$	$2$	894.a	1.a	$1$	$4$	$4$	$7.139$	4.4.6809.1	None	✓	$1$	$0$	\(-4\)	\(-4\)	\(2\)	\(-7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(\beta _{1}-\beta _{2})q^{5}+q^{6}+\cdots\)
894.2.a.k	$894$	$2$	894.a	1.a	$1$	$4$	$4$	$7.139$	4.4.15529.1	None	✓	$1$	$0$	\(4\)	\(-4\)	\(0\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(\beta _{2}-\beta _{3})q^{5}-q^{6}+\cdots\)
894.2.a.l	$894$	$2$	894.a	1.a	$1$	$5$	$5$	$7.139$	5.5.5444689.1	None	✓	$1$	$0$	\(-5\)	\(5\)	\(-5\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(-1+\beta _{1}+\beta _{4})q^{5}+\cdots\)
894.2.d.a	$894$	$2$	894.d	149.b	$2$	$2$	$2$	$7.139$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-8\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}-iq^{3}-q^{4}-4q^{5}+q^{6}-2q^{7}+\cdots\)
894.2.d.b	$894$	$2$	894.d	149.b	$2$	$2$	$2$	$7.139$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{2}+iq^{3}-q^{4}-q^{5}-q^{6}+4q^{7}+\cdots\)
894.2.d.c	$894$	$2$	894.d	149.b	$2$	$10$	$10$	$7.139$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}-\beta _{2}q^{3}-q^{4}-\beta _{5}q^{5}-q^{6}+\cdots\)
894.2.d.d	$894$	$2$	894.d	149.b	$2$	$12$	$12$	$7.139$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(14\)	\(2\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{2}-\beta _{4}q^{3}-q^{4}+(1+\beta _{5})q^{5}+\cdots\)
894.2.e.a	$894$	$2$	894.e	447.e	$4$	$4$	$2$	$7.139$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\zeta_{8}q^{2}+(-1-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{4}+\cdots\)
894.2.e.b	$894$	$2$	894.e	447.e	$4$	$4$	$2$	$7.139$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\zeta_{8}^{3}q^{2}+(-1+\zeta_{8}+\zeta_{8}^{2})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
894.2.e.c	$894$	$2$	894.e	447.e	$4$	$4$	$2$	$7.139$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\zeta_{8}q^{2}+(-\zeta_{8}+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\cdots\)
894.2.e.d	$894$	$2$	894.e	447.e	$4$	$4$	$2$	$7.139$	\(\Q(\zeta_{8})\)	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\zeta_{8}^{3}q^{2}+(1+\zeta_{8}+\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
894.2.e.e	$894$	$2$	894.e	447.e	$4$	$4$	$2$	$7.139$	\(\Q(\zeta_{8})\)	None		$4$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\zeta_{8}^{3}q^{2}+(1+\zeta_{8}-\zeta_{8}^{2})q^{3}-\zeta_{8}^{2}q^{4}+\cdots\)
894.2.e.f	$894$	$2$	894.e	447.e	$4$	$8$	$4$	$7.139$	8.0.1871773696.1	None		$4$	$0$	\(0\)	\(8\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{4}q^{2}+(1+\beta _{1}-\beta _{2})q^{3}-\beta _{2}q^{4}+\cdots\)
894.2.e.g	$894$	$2$	894.e	447.e	$4$	$72$	$36$	$7.139$		None		$4$	$0$	\(0\)	\(-8\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
894.2.g.a	$894$	$2$	894.g	149.d	$37$	$180$	$5$	$7.139$		None		$2$	$0$	\(-5\)	\(-5\)	\(7\)	\(7\)			$\mathrm{SU}(2)[C_{37}]$
894.2.g.b	$894$	$2$	894.g	149.d	$37$	$216$	$6$	$7.139$		None		$2$	$0$	\(-6\)	\(6\)	\(3\)	\(-1\)			$\mathrm{SU}(2)[C_{37}]$
894.2.g.c	$894$	$2$	894.g	149.d	$37$	$216$	$6$	$7.139$		None		$2$	$0$	\(6\)	\(6\)	\(1\)	\(7\)			$\mathrm{SU}(2)[C_{37}]$
894.2.g.d	$894$	$2$	894.g	149.d	$37$	$252$	$7$	$7.139$		None		$2$	$0$	\(7\)	\(-7\)	\(1\)	\(-1\)			$\mathrm{SU}(2)[C_{37}]$
894.2.h.a	$894$	$2$	894.h	149.e	$74$	$432$	$12$	$7.139$		None		$2$	$0$	\(0\)	\(0\)	\(-2\)	\(-6\)			$\mathrm{SU}(2)[C_{74}]$
894.2.h.b	$894$	$2$	894.h	149.e	$74$	$504$	$14$	$7.139$		None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(2\)			$\mathrm{SU}(2)[C_{74}]$
894.2.l.a	$894$	$2$	894.l	447.l	$148$	$3600$	$50$	$7.139$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{148}]$
894.3.b.a	$894$	$3$	894.b	3.b	$2$	$100$	$100$	$24.360$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{2}]$
894.3.c.a	$894$	$3$	894.c	447.d	$2$	$100$	$100$	$24.360$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{2}]$
894.3.f.a	$894$	$3$	894.f	149.c	$4$	$48$	$24$	$24.360$		None		$2$	$0$	\(-48\)	\(0\)	\(-24\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
894.3.f.b	$894$	$3$	894.f	149.c	$4$	$52$	$26$	$24.360$		None		$2$	$0$	\(52\)	\(0\)	\(8\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
894.4.a.a	$894$	$4$	894.a	1.a	$1$	$7$	$7$	$52.748$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-14\)	\(21\)	\(7\)	\(-14\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(1-\beta _{4})q^{5}+\cdots\)
894.4.a.b	$894$	$4$	894.a	1.a	$1$	$7$	$7$	$52.748$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(14\)	\(21\)	\(-31\)	\(-64\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(-5+\beta _{3}+\beta _{4}+\cdots)q^{5}+\cdots\)
894.4.a.c	$894$	$4$	894.a	1.a	$1$	$8$	$8$	$52.748$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-16\)	\(-24\)	\(-7\)	\(36\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-1-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
894.4.a.d	$894$	$4$	894.a	1.a	$1$	$8$	$8$	$52.748$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(16\)	\(-24\)	\(-9\)	\(-14\)	$-$	$5^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
894.4.a.e	$894$	$4$	894.a	1.a	$1$	$10$	$10$	$52.748$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(-20\)	\(-30\)	\(18\)	\(-13\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(2-\beta _{1})q^{5}+\cdots\)
894.4.a.f	$894$	$4$	894.a	1.a	$1$	$10$	$10$	$52.748$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(20\)	\(-30\)	\(6\)	\(21\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(1-\beta _{1})q^{5}+\cdots\)
894.4.a.g	$894$	$4$	894.a	1.a	$1$	$12$	$12$	$52.748$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-24\)	\(36\)	\(-8\)	\(21\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(-1+\beta _{1})q^{5}+\cdots\)
894.4.a.h	$894$	$4$	894.a	1.a	$1$	$12$	$12$	$52.748$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(24\)	\(36\)	\(24\)	\(55\)	$+$	$3\cdot 7$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(2-\beta _{1})q^{5}+\cdots\)
894.4.d.a	$894$	$4$	894.d	149.b	$2$	$36$	$36$	$52.748$		None		$2$	$0$	\(0\)	\(0\)	\(-38\)	\(66\)			$\mathrm{SU}(2)[C_{2}]$
894.4.d.b	$894$	$4$	894.d	149.b	$2$	$38$	$38$	$52.748$		None		$2$	$0$	\(0\)	\(0\)	\(-18\)	\(-38\)			$\mathrm{SU}(2)[C_{2}]$
894.6.a.a	$894$	$6$	894.a	1.a	$1$	$13$	$13$	$143.383$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-52\)	\(117\)	\(43\)	\(-10\)	$+$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+(3+\beta _{1})q^{5}+\cdots\)
894.6.a.b	$894$	$6$	894.a	1.a	$1$	$13$	$13$	$143.383$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(52\)	\(117\)	\(-165\)	\(-392\)	$+$	$2^{6}\cdot 11$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(-13+\beta _{9}+\cdots)q^{5}+\cdots\)
894.6.a.c	$894$	$6$	894.a	1.a	$1$	$14$	$14$	$143.383$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-56\)	\(-126\)	\(-93\)	\(196\)	$+$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(-7+\beta _{1}+\cdots)q^{5}+\cdots\)
894.6.a.d	$894$	$6$	894.a	1.a	$1$	$14$	$14$	$143.383$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(56\)	\(-126\)	\(15\)	\(-186\)	$+$	$2^{6}\cdot 3\cdot 5^{2}\cdot 13$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(1+\beta _{1})q^{5}+\cdots\)
894.6.a.e	$894$	$6$	894.a	1.a	$1$	$16$	$16$	$143.383$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(-64\)	\(-144\)	\(32\)	\(-147\)	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(2-\beta _{1})q^{5}+\cdots\)
894.6.a.f	$894$	$6$	894.a	1.a	$1$	$16$	$16$	$143.383$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(64\)	\(-144\)	\(90\)	\(59\)	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(6-\beta _{1})q^{5}+\cdots\)