Newform search results

Results (48 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
127.1.b.a	$127$	$1$	127.b	127.b	$2$	$2$	$2$	$0.063$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-127}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
127.2.a.a	$127$	$2$	127.a	1.a	$1$	$3$	$3$	$1.014$	\(\Q(\zeta_{18})^+\)	$_{}$	None	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(-6\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
127.2.a.b	$127$	$2$	127.a	1.a	$1$	$7$	$7$	$1.014$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(3\)	\(8\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{2}+\beta _{3}+\beta _{5}+\beta _{6})q^{3}+\cdots\)
127.2.c.a	$127$	$2$	127.c	127.c	$3$	$18$	$9$	$1.014$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(-2\)	\(1\)	\(-8\)	\(5\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{2}q^{2}+(-\beta _{8}+\beta _{9})q^{3}+(1+\beta _{3}+\cdots)q^{4}+\cdots\)
127.2.e.a	$127$	$2$	127.e	127.e	$7$	$54$	$9$	$1.014$		$_{}$	None	None		$2$	$0$	\(-10\)	\(-3\)	\(-3\)	\(-14\)			$\mathrm{SU}(2)[C_{7}]$
127.2.f.a	$127$	$2$	127.f	127.f	$9$	$60$	$10$	$1.014$		$_{}$	None	None		$2$	$0$	\(-12\)	\(-6\)	\(3\)	\(0\)			$\mathrm{SU}(2)[C_{9}]$
127.2.i.a	$127$	$2$	127.i	127.i	$21$	$108$	$9$	$1.014$		$_{}$	None	None		$2$	$0$	\(-5\)	\(-15\)	\(-6\)	\(2\)			$\mathrm{SU}(2)[C_{21}]$
127.2.k.a	$127$	$2$	127.k	127.k	$63$	$360$	$10$	$1.014$		$_{}$	None	None		$2$	$0$	\(-30\)	\(-36\)	\(-45\)	\(-42\)			$\mathrm{SU}(2)[C_{63}]$
127.3.b.a	$127$	$3$	127.b	127.b	$2$	$2$	$2$	$3.460$	\(\Q(\sqrt{-5}) \)	$_{}$	None	None		$2$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-3q^{2}+\beta q^{3}+5q^{4}-\beta q^{5}-3\beta q^{6}+\cdots\)
127.3.b.b	$127$	$3$	127.b	127.b	$2$	$5$	$5$	$3.460$	5.5.50403125.1	$_{}$	\(\Q(\sqrt{-127}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+\beta _{4})q^{4}+(\beta _{1}+4\beta _{2}-2\beta _{4})q^{8}+\cdots\)
127.3.b.c	$127$	$3$	127.b	127.b	$2$	$6$	$6$	$3.460$	\(\mathbb{Q}[x]/(x^{6} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{3}q^{2}-\beta _{1}q^{3}-\beta _{4}q^{4}+(\beta _{2}+\beta _{5})q^{5}+\cdots\)
127.3.b.d	$127$	$3$	127.b	127.b	$2$	$8$	$8$	$3.460$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(\beta _{1}+\beta _{2})q^{2}+\beta _{5}q^{3}+(1-2\beta _{4})q^{4}+\cdots\)
127.3.d.a	$127$	$3$	127.d	127.d	$6$	$42$	$21$	$3.460$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-3\)	\(0\)	\(-15\)			$\mathrm{SU}(2)[C_{6}]$
127.3.g.a	$127$	$3$	127.g	127.g	$14$	$126$	$21$	$3.460$		$_{}$	None	None		$2$	$0$	\(0\)	\(-7\)	\(-7\)	\(28\)			$\mathrm{SU}(2)[C_{14}]$
127.3.h.a	$127$	$3$	127.h	127.h	$18$	$120$	$20$	$3.460$		$_{}$	None	None		$2$	$0$	\(-12\)	\(-6\)	\(-9\)	\(6\)			$\mathrm{SU}(2)[C_{18}]$
127.3.j.a	$127$	$3$	127.j	127.j	$42$	$252$	$21$	$3.460$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-11\)	\(-14\)	\(-34\)			$\mathrm{SU}(2)[C_{42}]$
127.3.l.a	$127$	$3$	127.l	127.l	$126$	$720$	$20$	$3.460$		$_{}$	None	None		$2$	$0$	\(-30\)	\(-36\)	\(-33\)	\(-48\)			$\mathrm{SU}(2)[C_{126}]$
127.4.a.a	$127$	$4$	127.a	1.a	$1$	$1$	$1$	$7.493$	\(\Q\)	$_{}$	None	None	✓	$1$	$2$	\(-1\)	\(-8\)	\(-15\)	\(-25\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-8q^{3}-7q^{4}-15q^{5}+8q^{6}+\cdots\)
127.4.a.b	$127$	$4$	127.a	1.a	$1$	$13$	$13$	$7.493$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-8\)	\(-16\)	\(-46\)	\(-26\)	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1-\beta _{8})q^{3}+(3+\cdots)q^{4}+\cdots\)
127.4.a.c	$127$	$4$	127.a	1.a	$1$	$17$	$17$	$7.493$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(9\)	\(22\)	\(69\)	\(55\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{7})q^{3}+(5+\beta _{2}+\cdots)q^{4}+\cdots\)
127.4.c.a	$127$	$4$	127.c	127.c	$3$	$62$	$31$	$7.493$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-1\)	\(16\)	\(11\)			$\mathrm{SU}(2)[C_{3}]$
127.4.e.a	$127$	$4$	127.e	127.e	$7$	$186$	$31$	$7.493$		$_{}$	None	None		$2$	$0$	\(0\)	\(-5\)	\(-15\)	\(-81\)			$\mathrm{SU}(2)[C_{7}]$
127.4.f.a	$127$	$4$	127.f	127.f	$9$	$186$	$31$	$7.493$		$_{}$	None	None		$2$	$0$	\(-12\)	\(-6\)	\(-33\)	\(-24\)			$\mathrm{SU}(2)[C_{9}]$
127.4.i.a	$127$	$4$	127.i	127.i	$21$	$372$	$31$	$7.493$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-13\)	\(-30\)	\(45\)			$\mathrm{SU}(2)[C_{21}]$
127.4.k.a	$127$	$4$	127.k	127.k	$63$	$1116$	$31$	$7.493$		$_{}$	None	None		$2$	$0$	\(-30\)	\(-36\)	\(-9\)	\(-18\)			$\mathrm{SU}(2)[C_{63}]$
127.5.b.a	$127$	$5$	127.b	127.b	$2$	$5$	$5$	$13.128$	5.5.50403125.1	$_{}$	\(\Q(\sqrt{-127}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{3}q^{2}+(2^{4}-2\beta _{2}-3\beta _{4})q^{4}+(-13\beta _{2}+\cdots)q^{8}+\cdots\)
127.5.b.b	$127$	$5$	127.b	127.b	$2$	$36$	$36$	$13.128$		$_{}$	None	None		$2$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
127.5.d.a	$127$	$5$	127.d	127.d	$6$	$82$	$41$	$13.128$		$_{}$	None	None		$2$	$0$	\(2\)	\(-3\)	\(0\)	\(117\)			$\mathrm{SU}(2)[C_{6}]$
127.5.g.a	$127$	$5$	127.g	127.g	$14$	$246$	$41$	$13.128$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-7\)	\(-7\)	\(-182\)			$\mathrm{SU}(2)[C_{14}]$
127.5.h.a	$127$	$5$	127.h	127.h	$18$	$252$	$42$	$13.128$		$_{}$	None	None		$2$	$0$	\(-12\)	\(-6\)	\(-9\)	\(-126\)			$\mathrm{SU}(2)[C_{18}]$
127.5.j.a	$127$	$5$	127.j	127.j	$42$	$492$	$41$	$13.128$		$_{}$	None	None		$2$	$0$	\(5\)	\(-11\)	\(-14\)	\(44\)			$\mathrm{SU}(2)[C_{42}]$
127.5.l.a	$127$	$5$	127.l	127.l	$126$	$1512$	$42$	$13.128$		$_{}$	None	None		$2$	$0$	\(-30\)	\(-36\)	\(-33\)	\(84\)			$\mathrm{SU}(2)[C_{126}]$
127.6.a.a	$127$	$6$	127.a	1.a	$1$	$24$	$24$	$20.369$		$_{}$	None	None	✓	$1$	$1$	\(-16\)	\(-55\)	\(-276\)	\(-255\)	$+$		$\mathrm{SU}(2)$
127.6.a.b	$127$	$6$	127.a	1.a	$1$	$29$	$29$	$20.369$		$_{}$	None	None	✓	$1$	$0$	\(16\)	\(35\)	\(224\)	\(137\)	$-$		$\mathrm{SU}(2)$
127.7.b.a	$127$	$7$	127.b	127.b	$2$	$5$	$5$	$29.217$	5.5.50403125.1	$_{}$	\(\Q(\sqrt{-127}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$5^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{2}+\beta _{3})q^{2}+(2^{6}+10\beta _{1}-7\beta _{4})q^{4}+\cdots\)
127.7.b.b	$127$	$7$	127.b	127.b	$2$	$58$	$58$	$29.217$		$_{}$	None	None		$2$	$0$	\(8\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
127.8.a.a	$127$	$8$	127.a	1.a	$1$	$34$	$34$	$39.673$		$_{}$	None	None	✓	$1$	$1$	\(-40\)	\(-109\)	\(-1126\)	\(-1175\)	$-$		$\mathrm{SU}(2)$
127.8.a.b	$127$	$8$	127.a	1.a	$1$	$39$	$39$	$39.673$		$_{}$	None	None	✓	$1$	$0$	\(24\)	\(161\)	\(1374\)	\(1569\)	$+$		$\mathrm{SU}(2)$
127.9.b.a	$127$	$9$	127.b	127.b	$2$	$5$	$5$	$51.737$	5.5.50403125.1	$_{}$	\(\Q(\sqrt{-127}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}\cdot 7^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{3}+\beta _{4})q^{2}+(2^{8}-59\beta _{1}-3\beta _{2}+\cdots)q^{4}+\cdots\)
127.9.b.b	$127$	$9$	127.b	127.b	$2$	$80$	$80$	$51.737$		$_{}$	None	None		$2$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
127.10.a.a	$127$	$10$	127.a	1.a	$1$	$45$	$45$	$65.410$		$_{}$	None	None	✓	$1$	$1$	\(-48\)	\(-406\)	\(-6876\)	\(-7698\)	$+$		$\mathrm{SU}(2)$
127.10.a.b	$127$	$10$	127.a	1.a	$1$	$50$	$50$	$65.410$		$_{}$	None	None	✓	$1$	$0$	\(80\)	\(404\)	\(5624\)	\(11510\)	$-$		$\mathrm{SU}(2)$
127.12.a.a	$127$	$12$	127.a	1.a	$1$	$55$	$55$	$97.580$		$_{}$	None	None	✓	$1$	$1$	\(-128\)	\(-1225\)	\(-32956\)	\(-86411\)	$-$		$\mathrm{SU}(2)$
127.12.a.b	$127$	$12$	127.a	1.a	$1$	$60$	$60$	$97.580$		$_{}$	None	None	✓	$1$	$0$	\(128\)	\(1205\)	\(29544\)	\(48045\)	$+$		$\mathrm{SU}(2)$
127.14.a.a	$127$	$14$	127.a	1.a	$1$	$66$	$66$	$136.183$		$_{}$	None	None	✓	$1$	$1$	\(-256\)	\(-4375\)	\(-171876\)	\(-468075\)	$+$		$\mathrm{SU}(2)$
127.14.a.b	$127$	$14$	127.a	1.a	$1$	$71$	$71$	$136.183$		$_{}$	None	None	✓	$1$	$0$	\(256\)	\(2915\)	\(140624\)	\(473117\)	$-$		$\mathrm{SU}(2)$
127.16.a.a	$127$	$16$	127.a	1.a	$1$	$76$	$76$	$181.221$		$_{}$	None	None	✓	$1$	$1$	\(-640\)	\(-7588\)	\(-755236\)	\(-2366810\)	$-$		$\mathrm{SU}(2)$
127.16.a.b	$127$	$16$	127.a	1.a	$1$	$81$	$81$	$181.221$		$_{}$	None	None	✓	$1$	$0$	\(384\)	\(14282\)	\(807264\)	\(4221534\)	$+$		$\mathrm{SU}(2)$