Newform search results

Results (1-50 of 51 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
747.1.c.a	$747$	$1$	747.c	83.b	$2$	$1$	$1$	$0.373$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-83}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{4}-q^{7}+q^{11}+q^{16}+q^{17}-2q^{23}+\cdots\)
747.1.g.a	$747$	$1$	747.g	747.g	$6$	$6$	$3$	$0.373$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-83}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{18}^{8}q^{3}-\zeta_{18}^{3}q^{4}+(\zeta_{18}^{4}+\zeta_{18}^{8}+\cdots)q^{7}+\cdots\)
747.2.a.a	$747$	$2$	747.a	1.a	$1$	$1$	$1$	$5.965$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-2q^{5}+3q^{8}+2q^{10}+\cdots\)
747.2.a.b	$747$	$2$	747.a	1.a	$1$	$1$	$1$	$5.965$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+q^{5}-4q^{7}+3q^{8}-q^{10}+\cdots\)
747.2.a.c	$747$	$2$	747.a	1.a	$1$	$1$	$1$	$5.965$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}+3q^{11}+\cdots\)
747.2.a.d	$747$	$2$	747.a	1.a	$1$	$1$	$1$	$5.965$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(0\)	\(2\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}-3q^{7}-3q^{8}+2q^{10}+\cdots\)
747.2.a.e	$747$	$2$	747.a	1.a	$1$	$1$	$1$	$5.965$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots\)
747.2.a.f	$747$	$2$	747.a	1.a	$1$	$2$	$2$	$5.965$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(6\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(3-\beta )q^{5}+\cdots\)
747.2.a.g	$747$	$2$	747.a	1.a	$1$	$4$	$4$	$5.965$	4.4.6224.1	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-6\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{2}+(1-\beta _{1}-\beta _{2})q^{4}+\cdots\)
747.2.a.h	$747$	$2$	747.a	1.a	$1$	$5$	$5$	$5.965$	5.5.368464.1	$_{}$	None	None	✓	$1$	$0$	\(3\)	\(0\)	\(2\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
747.2.a.i	$747$	$2$	747.a	1.a	$1$	$6$	$6$	$5.965$	6.6.33681152.1	$_{}$	None	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-8\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{2}+(2-\beta _{1}-\beta _{3})q^{4}+\cdots\)
747.2.a.j	$747$	$2$	747.a	1.a	$1$	$6$	$6$	$5.965$	6.6.9059636.1	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2})q^{2}+(1-\beta _{5})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
747.2.a.k	$747$	$2$	747.a	1.a	$1$	$6$	$6$	$5.965$	6.6.33681152.1	$_{}$	None	None	✓	$1$	$0$	\(4\)	\(0\)	\(8\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{2}+(2-\beta _{1}-\beta _{3})q^{4}+(1+\cdots)q^{5}+\cdots\)
747.2.d.a	$747$	$2$	747.d	249.d	$2$	$28$	$28$	$5.965$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$
747.2.e.a	$747$	$2$	747.e	9.c	$3$	$2$	$1$	$5.965$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(-2\)	\(-3\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+2\zeta_{6})q^{2}+(-2+\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots\)
747.2.e.b	$747$	$2$	747.e	9.c	$3$	$2$	$1$	$5.965$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$1$	\(-2\)	\(0\)	\(2\)	\(-5\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+2\zeta_{6})q^{2}+(1-2\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots\)
747.2.e.c	$747$	$2$	747.e	9.c	$3$	$2$	$1$	$5.965$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(-2\)	\(3\)	\(2\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+2\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots\)
747.2.e.d	$747$	$2$	747.e	9.c	$3$	$4$	$2$	$5.965$	\(\Q(\sqrt{-3}, \sqrt{5})\)	$_{}$	None	None		$2$	$0$	\(1\)	\(6\)	\(0\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{1}q^{2}+(2+\beta _{3})q^{3}+(\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
747.2.e.e	$747$	$2$	747.e	9.c	$3$	$62$	$31$	$5.965$		$_{}$	None	None		$2$	$0$	\(3\)	\(-7\)	\(-3\)	\(15\)			$\mathrm{SU}(2)[C_{3}]$
747.2.e.f	$747$	$2$	747.e	9.c	$3$	$92$	$46$	$5.965$		$_{}$	None	None		$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(-10\)			$\mathrm{SU}(2)[C_{3}]$
747.2.f.a	$747$	$2$	747.f	747.f	$6$	$12$	$6$	$5.965$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	\(\Q(\sqrt{-83}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3$	$\mathrm{U}(1)[D_{6}]$	\(q+(-\beta _{1}+\beta _{6})q^{3}-2\beta _{3}q^{4}+(\beta _{2}-\beta _{9}+\cdots)q^{7}+\cdots\)
747.2.f.b	$747$	$2$	747.f	747.f	$6$	$152$	$76$	$5.965$		$_{}$	None	None		$4$	$0$	\(0\)	\(-6\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{6}]$
747.2.i.a	$747$	$2$	747.i	83.c	$41$	$240$	$6$	$5.965$		$_{}$	None	None		$2$	$0$	\(38\)	\(0\)	\(35\)	\(-33\)			$\mathrm{SU}(2)[C_{41}]$
747.2.i.b	$747$	$2$	747.i	83.c	$41$	$280$	$7$	$5.965$		$_{}$	None	None		$2$	$0$	\(-3\)	\(0\)	\(-2\)	\(-4\)			$\mathrm{SU}(2)[C_{41}]$
747.2.i.c	$747$	$2$	747.i	83.c	$41$	$280$	$7$	$5.965$		$_{}$	None	None		$2$	$0$	\(3\)	\(0\)	\(6\)	\(-4\)			$\mathrm{SU}(2)[C_{41}]$
747.2.i.d	$747$	$2$	747.i	83.c	$41$	$560$	$14$	$5.965$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{41}]$
747.2.j.a	$747$	$2$	747.j	249.f	$82$	$1120$	$28$	$5.965$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)			$\mathrm{SU}(2)[C_{82}]$
747.2.m.a	$747$	$2$	747.m	747.m	$123$	$6560$	$82$	$5.965$		$_{}$	None	None		$4$	$0$	\(-41\)	\(-80\)	\(-43\)	\(-39\)			$\mathrm{SU}(2)[C_{123}]$
747.2.p.a	$747$	$2$	747.p	747.p	$246$	$6560$	$82$	$5.965$		$_{}$	None	None		$4$	$0$	\(-123\)	\(-76\)	\(-123\)	\(-39\)			$\mathrm{SU}(2)[C_{246}]$
747.3.b.a	$747$	$3$	747.b	3.b	$2$	$56$	$56$	$20.354$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(16\)			$\mathrm{SU}(2)[C_{2}]$
747.3.c.a	$747$	$3$	747.c	83.b	$2$	$3$	$3$	$20.354$	3.3.2241.1	$_{}$	\(\Q(\sqrt{-83}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+(-\beta _{1}-2\beta _{2})q^{7}+(2\beta _{1}-\beta _{2})q^{11}+\cdots\)
747.3.c.b	$747$	$3$	747.c	83.b	$2$	$10$	$10$	$20.354$	\(\mathbb{Q}[x]/(x^{10} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(12\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-3+\beta _{7}+\beta _{8})q^{4}+\beta _{9}q^{5}+\cdots\)
747.3.c.c	$747$	$3$	747.c	83.b	$2$	$28$	$28$	$20.354$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-20\)			$\mathrm{SU}(2)[C_{2}]$
747.3.c.d	$747$	$3$	747.c	83.b	$2$	$28$	$28$	$20.354$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{2}]$
747.4.a.a	$747$	$4$	747.a	1.a	$1$	$7$	$7$	$44.074$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(5\)	\(0\)	\(17\)	\(-46\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{4})q^{2}+(2-\beta _{1}-\beta _{3}+\beta _{4})q^{4}+\cdots\)
747.4.a.b	$747$	$4$	747.a	1.a	$1$	$9$	$9$	$44.074$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-3\)	\(0\)	\(1\)	\(-43\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(\beta _{1}-\beta _{5})q^{5}+\cdots\)
747.4.a.c	$747$	$4$	747.a	1.a	$1$	$9$	$9$	$44.074$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(7\)	\(0\)	\(47\)	\(-43\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(3-\beta _{1}+\beta _{3}+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)
747.4.a.d	$747$	$4$	747.a	1.a	$1$	$12$	$12$	$44.074$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-7\)	\(0\)	\(-43\)	\(41\)	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(5-\beta _{1}+\beta _{2})q^{4}+\cdots\)
747.4.a.e	$747$	$4$	747.a	1.a	$1$	$12$	$12$	$44.074$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(3\)	\(0\)	\(11\)	\(41\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+(1+\beta _{6})q^{5}+\cdots\)
747.4.a.f	$747$	$4$	747.a	1.a	$1$	$13$	$13$	$44.074$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(-5\)	\(0\)	\(-33\)	\(52\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(6+\beta _{2})q^{4}+(-2-\beta _{1}-\beta _{5}+\cdots)q^{5}+\cdots\)
747.4.a.g	$747$	$4$	747.a	1.a	$1$	$20$	$20$	$44.074$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-10\)	\(0\)	\(-50\)	\(-30\)	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(5-\beta _{1}+\beta _{2})q^{4}+\cdots\)
747.4.a.h	$747$	$4$	747.a	1.a	$1$	$20$	$20$	$44.074$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(10\)	\(0\)	\(50\)	\(-30\)	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(5-\beta _{1}+\beta _{2})q^{4}+(3+\cdots)q^{5}+\cdots\)
747.4.d.a	$747$	$4$	747.d	249.d	$2$	$84$	$84$	$44.074$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(24\)			$\mathrm{SU}(2)[C_{2}]$
747.6.a.a	$747$	$6$	747.a	1.a	$1$	$14$	$14$	$119.807$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(13\)	\(0\)	\(162\)	\(-247\)	$+$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(10-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
747.6.a.b	$747$	$6$	747.a	1.a	$1$	$15$	$15$	$119.807$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(11\)	\(0\)	\(206\)	\(-332\)	$-$	$2^{9}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(13-\beta _{1}+\beta _{2})q^{4}+(13+\cdots)q^{5}+\cdots\)
747.6.a.c	$747$	$6$	747.a	1.a	$1$	$16$	$16$	$119.807$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-9\)	\(0\)	\(-22\)	\(-372\)	$+$	$2^{19}\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(15+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
747.6.a.d	$747$	$6$	747.a	1.a	$1$	$18$	$18$	$119.807$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-17\)	\(0\)	\(-244\)	\(256\)	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(18-\beta _{1}+\beta _{2})q^{4}+\cdots\)
747.6.a.e	$747$	$6$	747.a	1.a	$1$	$19$	$19$	$119.807$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(3\)	\(0\)	\(28\)	\(216\)	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(20+\beta _{2})q^{4}+(1-\beta _{5})q^{5}+\cdots\)
747.6.a.f	$747$	$6$	747.a	1.a	$1$	$20$	$20$	$119.807$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(-7\)	\(0\)	\(-88\)	\(439\)	$-$	$2^{6}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(19+\beta _{2})q^{4}+(-4+\beta _{4}+\cdots)q^{5}+\cdots\)
747.6.a.g	$747$	$6$	747.a	1.a	$1$	$35$	$35$	$119.807$		$_{}$	None	None	✓	$1$	$1$	\(-20\)	\(0\)	\(-250\)	\(80\)	$+$		$\mathrm{SU}(2)$