Newform search results

Results (1-50 of 228 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
70.2.a.a	$70$	$2$	70.a	1.a	$1$	$1$	$1$	$0.559$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-3q^{9}+\cdots\)
70.2.c.a	$70$	$2$	70.c	5.b	$2$	$4$	$4$	$0.559$	\(\Q(i, \sqrt{6})\)	None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}+(\beta _{1}+\beta _{3})q^{3}-q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
70.2.e.a	$70$	$2$	70.e	7.c	$3$	$2$	$1$	$0.559$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-1\)	\(-3\)	\(1\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\zeta_{6}q^{2}+(-3+3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
70.2.e.b	$70$	$2$	70.e	7.c	$3$	$2$	$1$	$0.559$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-1\)	\(2\)	\(1\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
70.2.e.c	$70$	$2$	70.e	7.c	$3$	$2$	$1$	$0.559$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(1\)	\(-1\)	\(1\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
70.2.e.d	$70$	$2$	70.e	7.c	$3$	$2$	$1$	$0.559$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(1\)	\(2\)	\(-1\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
70.2.g.a	$70$	$2$	70.g	35.f	$4$	$8$	$4$	$0.559$	\(\Q(\zeta_{16})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q-\zeta_{16}^{6}q^{2}+(\zeta_{16}-\zeta_{16}^{3})q^{3}-\zeta_{16}^{4}q^{4}+\cdots\)
70.2.i.a	$70$	$2$	70.i	35.j	$6$	$4$	$2$	$0.559$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+(-3\zeta_{12}+3\zeta_{12}^{3})q^{3}+\cdots\)
70.2.i.b	$70$	$2$	70.i	35.j	$6$	$4$	$2$	$0.559$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(2-\zeta_{12}-2\zeta_{12}^{2}+\cdots)q^{5}+\cdots\)
70.2.k.a	$70$	$2$	70.k	35.k	$12$	$16$	$4$	$0.559$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$4$	$0$	\(0\)	\(0\)	\(-12\)	\(8\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-\beta _{7}-\beta _{15})q^{2}+(-\beta _{4}+\beta _{13})q^{3}+\cdots\)
70.3.b.a	$70$	$3$	70.b	7.b	$2$	$8$	$8$	$1.907$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{6}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+2q^{4}-\beta _{2}q^{5}+\cdots\)
70.3.d.a	$70$	$3$	70.d	35.c	$2$	$8$	$8$	$1.907$	8.0.\(\cdots\).6	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{2}-\beta _{5}q^{3}-2q^{4}+(\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
70.3.f.a	$70$	$3$	70.f	5.c	$4$	$4$	$2$	$1.907$	\(\Q(i, \sqrt{14})\)	None		$2$	$0$	\(-4\)	\(4\)	\(12\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+\beta _{2})q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+\cdots\)
70.3.f.b	$70$	$3$	70.f	5.c	$4$	$8$	$4$	$1.907$	8.0.\(\cdots\).20	None		$2$	$0$	\(8\)	\(4\)	\(-4\)	\(0\)		$5$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1+\beta _{3})q^{2}+(1+\beta _{1}-\beta _{3})q^{3}+2\beta _{3}q^{4}+\cdots\)
70.3.h.a	$70$	$3$	70.h	35.i	$6$	$16$	$8$	$1.907$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\beta _{10}q^{2}+\beta _{1}q^{3}+2\beta _{4}q^{4}+(-\beta _{6}+\cdots)q^{5}+\cdots\)
70.3.j.a	$70$	$3$	70.j	7.d	$6$	$8$	$4$	$1.907$	8.0.3317760000.3	None		$2$	$0$	\(0\)	\(12\)	\(0\)	\(-12\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-\beta _{3}-\beta _{5})q^{2}+(1-\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{3}+\cdots\)
70.3.l.a	$70$	$3$	70.l	35.l	$12$	$8$	$2$	$1.907$	8.0.3317760000.2	None		$4$	$0$	\(4\)	\(-4\)	\(12\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(1+\beta _{2}-\beta _{4})q^{2}+(-\beta _{2}+2\beta _{3}-\beta _{4}+\cdots)q^{3}+\cdots\)
70.3.l.b	$70$	$3$	70.l	35.l	$12$	$8$	$2$	$1.907$	8.0.303595776.1	None		$4$	$0$	\(4\)	\(2\)	\(-6\)	\(-12\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(1-\beta _{3}+\beta _{4})q^{2}+(-\beta _{1}+\beta _{2}-\beta _{4}+\cdots)q^{3}+\cdots\)
70.3.l.c	$70$	$3$	70.l	35.l	$12$	$16$	$4$	$1.907$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$4$	$0$	\(-8\)	\(2\)	\(-2\)	\(12\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-1-\beta _{4}+\beta _{8})q^{2}+(-\beta _{3}-\beta _{10}+\cdots)q^{3}+\cdots\)
70.4.a.a	$70$	$4$	70.a	1.a	$1$	$1$	$1$	$4.130$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-8\)	\(-5\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-8q^{3}+4q^{4}-5q^{5}+2^{4}q^{6}+\cdots\)
70.4.a.b	$70$	$4$	70.a	1.a	$1$	$1$	$1$	$4.130$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(5\)	\(-7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+5q^{5}+6q^{6}+\cdots\)
70.4.a.c	$70$	$4$	70.a	1.a	$1$	$1$	$1$	$4.130$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(-5\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+4q^{4}-5q^{5}+2q^{6}+\cdots\)
70.4.a.d	$70$	$4$	70.a	1.a	$1$	$1$	$1$	$4.130$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(4\)	\(5\)	\(7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{3}+4q^{4}+5q^{5}-8q^{6}+\cdots\)
70.4.a.e	$70$	$4$	70.a	1.a	$1$	$1$	$1$	$4.130$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(5\)	\(5\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+5q^{3}+4q^{4}+5q^{5}+10q^{6}+\cdots\)
70.4.a.f	$70$	$4$	70.a	1.a	$1$	$1$	$1$	$4.130$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(7\)	\(-5\)	\(7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+7q^{3}+4q^{4}-5q^{5}+14q^{6}+\cdots\)
70.4.c.a	$70$	$4$	70.c	5.b	$2$	$2$	$2$	$4.130$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(20\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+2iq^{2}+7iq^{3}-4q^{4}+(10+5i)q^{5}+\cdots\)
70.4.c.b	$70$	$4$	70.c	5.b	$2$	$6$	$6$	$4.130$	6.0.\(\cdots\).1	None		$2$	$0$	\(0\)	\(0\)	\(-16\)	\(0\)		$5$	$\mathrm{SU}(2)[C_{2}]$	\(q+2\beta _{3}q^{2}+(-2\beta _{3}+\beta _{5})q^{3}-4q^{4}+\cdots\)
70.4.e.a	$70$	$4$	70.e	7.c	$3$	$2$	$1$	$4.130$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-2\)	\(-1\)	\(5\)	\(35\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-2\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
70.4.e.b	$70$	$4$	70.e	7.c	$3$	$2$	$1$	$4.130$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(2\)	\(-10\)	\(5\)	\(28\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+2\zeta_{6}q^{2}+(-10+10\zeta_{6})q^{3}+(-4+\cdots)q^{4}+\cdots\)
70.4.e.c	$70$	$4$	70.e	7.c	$3$	$2$	$1$	$4.130$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(2\)	\(1\)	\(5\)	\(17\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+2\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-4+4\zeta_{6})q^{4}+\cdots\)
70.4.e.d	$70$	$4$	70.e	7.c	$3$	$4$	$2$	$4.130$	\(\Q(\sqrt{-3}, \sqrt{46})\)	None		$2$	$0$	\(4\)	\(2\)	\(-10\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-2\beta _{2}q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+(-4+\cdots)q^{4}+\cdots\)
70.4.e.e	$70$	$4$	70.e	7.c	$3$	$6$	$3$	$4.130$	6.0.\(\cdots\).2	None		$2$	$0$	\(-6\)	\(-4\)	\(-15\)	\(14\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+2\beta _{3})q^{2}+(-\beta _{1}-\beta _{3})q^{3}+\cdots\)
70.4.g.a	$70$	$4$	70.g	35.f	$4$	$24$	$12$	$4.130$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{4}]$
70.4.i.a	$70$	$4$	70.i	35.j	$6$	$24$	$12$	$4.130$		None		$4$	$0$	\(0\)	\(0\)	\(-8\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
70.4.k.a	$70$	$4$	70.k	35.k	$12$	$48$	$12$	$4.130$		None		$4$	$0$	\(0\)	\(0\)	\(48\)	\(-4\)			$\mathrm{SU}(2)[C_{12}]$
70.5.b.a	$70$	$5$	70.b	7.b	$2$	$8$	$8$	$7.236$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(132\)		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}+(\beta _{2}-\beta _{4}-\beta _{5})q^{3}+8q^{4}+\cdots\)
70.5.d.a	$70$	$5$	70.d	35.c	$2$	$16$	$16$	$7.236$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{20}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{5}q^{2}-\beta _{4}q^{3}-8q^{4}-\beta _{6}q^{5}-\beta _{1}q^{6}+\cdots\)
70.5.f.a	$70$	$5$	70.f	5.c	$4$	$12$	$6$	$7.236$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(-24\)	\(-20\)	\(8\)	\(0\)		$5^{2}\cdot 7^{4}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-2-2\beta _{1})q^{2}+(-2+2\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots\)
70.5.f.b	$70$	$5$	70.f	5.c	$4$	$12$	$6$	$7.236$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None		$2$	$0$	\(24\)	\(-20\)	\(40\)	\(0\)		$5^{4}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(2+2\beta _{1})q^{2}+(-2+2\beta _{1}-\beta _{2})q^{3}+\cdots\)
70.5.h.a	$70$	$5$	70.h	35.i	$6$	$32$	$16$	$7.236$		None		$4$	$0$	\(0\)	\(0\)	\(54\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
70.5.j.a	$70$	$5$	70.j	7.d	$6$	$24$	$12$	$7.236$		None		$2$	$0$	\(0\)	\(36\)	\(0\)	\(76\)			$\mathrm{SU}(2)[C_{6}]$
70.5.l.a	$70$	$5$	70.l	35.l	$12$	$32$	$8$	$7.236$		None		$4$	$0$	\(-32\)	\(-8\)	\(-10\)	\(-34\)			$\mathrm{SU}(2)[C_{12}]$
70.5.l.b	$70$	$5$	70.l	35.l	$12$	$32$	$8$	$7.236$		None		$4$	$0$	\(32\)	\(8\)	\(-26\)	\(14\)			$\mathrm{SU}(2)[C_{12}]$
70.6.a.a	$70$	$6$	70.a	1.a	$1$	$1$	$1$	$11.227$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(-23\)	\(25\)	\(49\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-23q^{3}+2^{4}q^{4}+5^{2}q^{5}+92q^{6}+\cdots\)
70.6.a.b	$70$	$6$	70.a	1.a	$1$	$1$	$1$	$11.227$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-9\)	\(25\)	\(-49\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+5^{2}q^{5}+6^{2}q^{6}+\cdots\)
70.6.a.c	$70$	$6$	70.a	1.a	$1$	$1$	$1$	$11.227$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-3\)	\(-25\)	\(49\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-3q^{3}+2^{4}q^{4}-5^{2}q^{5}+12q^{6}+\cdots\)
70.6.a.d	$70$	$6$	70.a	1.a	$1$	$1$	$1$	$11.227$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(11\)	\(-25\)	\(-49\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+11q^{3}+2^{4}q^{4}-5^{2}q^{5}-44q^{6}+\cdots\)
70.6.a.e	$70$	$6$	70.a	1.a	$1$	$1$	$1$	$11.227$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(-17\)	\(25\)	\(-49\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-17q^{3}+2^{4}q^{4}+5^{2}q^{5}-68q^{6}+\cdots\)
70.6.a.f	$70$	$6$	70.a	1.a	$1$	$1$	$1$	$11.227$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(-11\)	\(-25\)	\(49\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-11q^{3}+2^{4}q^{4}-5^{2}q^{5}-44q^{6}+\cdots\)
70.6.a.g	$70$	$6$	70.a	1.a	$1$	$2$	$2$	$11.227$	\(\Q(\sqrt{3369}) \)	None	✓	$1$	$0$	\(8\)	\(3\)	\(-50\)	\(-98\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+(2-\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots\)