Newform search results

Results (45 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
103.1.b.a	$103$	$1$	103.b	103.b	$2$	$2$	$2$	$0.051$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-103}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots\)
103.2.a.a	$103$	$2$	103.a	1.a	$1$	$2$	$2$	$0.822$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$1$	\(-3\)	\(-2\)	\(-3\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(-2+\cdots)q^{5}+\cdots\)
103.2.a.b	$103$	$2$	103.a	1.a	$1$	$6$	$6$	$0.822$	6.6.6999257.1	$_{}$	None	None	✓	$1$	$0$	\(4\)	\(0\)	\(3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(-\beta _{2}-\beta _{3}+\beta _{5})q^{3}+\cdots\)
103.2.c.a	$103$	$2$	103.c	103.c	$3$	$16$	$8$	$0.822$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(-1\)	\(-4\)	\(3\)	\(-5\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{1}q^{2}+\beta _{12}q^{3}+(-1+\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
103.2.e.a	$103$	$2$	103.e	103.e	$17$	$112$	$7$	$0.822$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-11\)	\(-11\)	\(-5\)			$\mathrm{SU}(2)[C_{17}]$
103.2.g.a	$103$	$2$	103.g	103.g	$51$	$256$	$8$	$0.822$		$_{}$	None	None		$2$	$0$	\(-33\)	\(-30\)	\(-37\)	\(-29\)			$\mathrm{SU}(2)[C_{51}]$
103.3.b.a	$103$	$3$	103.b	103.b	$2$	$5$	$5$	$2.807$	5.5.33153125.1	$_{}$	\(\Q(\sqrt{-103}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+\beta _{1}+\beta _{4})q^{4}+(-4\beta _{1}+\cdots)q^{7}+\cdots\)
103.3.b.b	$103$	$3$	103.b	103.b	$2$	$12$	$12$	$2.807$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{9}q^{2}-\beta _{1}q^{3}+(1+\beta _{8})q^{4}+\beta _{2}q^{5}+\cdots\)
103.3.d.a	$103$	$3$	103.d	103.d	$6$	$32$	$16$	$2.807$		$_{}$	None	None		$2$	$0$	\(-1\)	\(0\)	\(-3\)	\(5\)			$\mathrm{SU}(2)[C_{6}]$
103.3.f.a	$103$	$3$	103.f	103.f	$34$	$272$	$17$	$2.807$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-17\)	\(-17\)	\(-17\)			$\mathrm{SU}(2)[C_{34}]$
103.3.h.a	$103$	$3$	103.h	103.h	$102$	$512$	$16$	$2.807$		$_{}$	None	None		$2$	$0$	\(-33\)	\(-34\)	\(-31\)	\(-39\)			$\mathrm{SU}(2)[C_{102}]$
103.4.a.a	$103$	$4$	103.a	1.a	$1$	$10$	$10$	$6.077$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-11\)	\(-8\)	\(-30\)	\(-33\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(-1-\beta _{6})q^{3}+(3+\cdots)q^{4}+\cdots\)
103.4.a.b	$103$	$4$	103.a	1.a	$1$	$15$	$15$	$6.077$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(9\)	\(10\)	\(30\)	\(23\)	$+$	$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1+\beta _{9})q^{3}+(5-\beta _{1}+\cdots)q^{4}+\cdots\)
103.4.c.a	$103$	$4$	103.c	103.c	$3$	$50$	$25$	$6.077$		$_{}$	None	None		$2$	$0$	\(-1\)	\(4\)	\(-3\)	\(13\)			$\mathrm{SU}(2)[C_{3}]$
103.4.e.a	$103$	$4$	103.e	103.e	$17$	$400$	$25$	$6.077$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-19\)	\(-17\)	\(-7\)			$\mathrm{SU}(2)[C_{17}]$
103.4.g.a	$103$	$4$	103.g	103.g	$51$	$800$	$25$	$6.077$		$_{}$	None	None		$2$	$0$	\(-33\)	\(-38\)	\(-31\)	\(-47\)			$\mathrm{SU}(2)[C_{51}]$
103.5.b.a	$103$	$5$	103.b	103.b	$2$	$5$	$5$	$10.647$	5.5.33153125.1	$_{}$	\(\Q(\sqrt{-103}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{4}q^{2}+(2^{4}+6\beta _{2}-\beta _{3})q^{4}+(11\beta _{2}+\cdots)q^{7}+\cdots\)
103.5.b.b	$103$	$5$	103.b	103.b	$2$	$28$	$28$	$10.647$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(28\)			$\mathrm{SU}(2)[C_{2}]$
103.5.d.a	$103$	$5$	103.d	103.d	$6$	$68$	$34$	$10.647$		$_{}$	None	None		$2$	$0$	\(-1\)	\(0\)	\(-3\)	\(69\)			$\mathrm{SU}(2)[C_{6}]$
103.5.f.a	$103$	$5$	103.f	103.f	$34$	$528$	$33$	$10.647$		$_{}$	None	None		$2$	$0$	\(-15\)	\(-17\)	\(-17\)	\(-45\)			$\mathrm{SU}(2)[C_{34}]$
103.5.h.a	$103$	$5$	103.h	103.h	$102$	$1088$	$34$	$10.647$		$_{}$	None	None		$2$	$0$	\(-33\)	\(-34\)	\(-31\)	\(-103\)			$\mathrm{SU}(2)[C_{102}]$
103.6.a.a	$103$	$6$	103.a	1.a	$1$	$19$	$19$	$16.520$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-21\)	\(-38\)	\(-147\)	\(-206\)	$+$	$2^{6}\cdot 3^{2}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(-2-\beta _{7})q^{3}+(14+\cdots)q^{4}+\cdots\)
103.6.a.b	$103$	$6$	103.a	1.a	$1$	$24$	$24$	$16.520$		$_{}$	None	None	✓	$1$	$0$	\(19\)	\(16\)	\(153\)	\(186\)	$-$		$\mathrm{SU}(2)$
103.6.c.a	$103$	$6$	103.c	103.c	$3$	$84$	$42$	$16.520$		$_{}$	None	None		$2$	$0$	\(-1\)	\(-20\)	\(-9\)	\(139\)			$\mathrm{SU}(2)[C_{3}]$
103.6.e.a	$103$	$6$	103.e	103.e	$17$	$688$	$43$	$16.520$		$_{}$	None	None		$2$	$0$	\(-15\)	\(5\)	\(-23\)	\(3\)			$\mathrm{SU}(2)[C_{17}]$
103.6.g.a	$103$	$6$	103.g	103.g	$51$	$1344$	$42$	$16.520$		$_{}$	None	None		$2$	$0$	\(-33\)	\(-14\)	\(-25\)	\(-173\)			$\mathrm{SU}(2)[C_{51}]$
103.7.b.a	$103$	$7$	103.b	103.b	$2$	$5$	$5$	$23.696$	5.5.33153125.1	$_{}$	\(\Q(\sqrt{-103}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$5^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{2}+\beta _{3})q^{2}+(2^{6}-19\beta _{1}-4\beta _{4})q^{4}+\cdots\)
103.7.b.b	$103$	$7$	103.b	103.b	$2$	$46$	$46$	$23.696$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(-810\)			$\mathrm{SU}(2)[C_{2}]$
103.8.a.a	$103$	$8$	103.a	1.a	$1$	$27$	$27$	$32.176$		$_{}$	None	None	✓	$1$	$1$	\(-41\)	\(-68\)	\(-555\)	\(-1518\)	$-$		$\mathrm{SU}(2)$
103.8.a.b	$103$	$8$	103.a	1.a	$1$	$32$	$32$	$32.176$		$_{}$	None	None	✓	$1$	$0$	\(39\)	\(94\)	\(945\)	\(1226\)	$+$		$\mathrm{SU}(2)$
103.9.b.a	$103$	$9$	103.b	103.b	$2$	$5$	$5$	$41.960$	5.5.33153125.1	$_{}$	\(\Q(\sqrt{-103}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+(6\beta _{2}-\beta _{3})q^{2}+(2^{8}-65\beta _{1}+14\beta _{4})q^{4}+\cdots\)
103.9.b.b	$103$	$9$	103.b	103.b	$2$	$64$	$64$	$41.960$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(-5152\)			$\mathrm{SU}(2)[C_{2}]$
103.10.a.a	$103$	$10$	103.a	1.a	$1$	$36$	$36$	$53.049$		$_{}$	None	None	✓	$1$	$1$	\(-81\)	\(-170\)	\(-5172\)	\(-5297\)	$+$		$\mathrm{SU}(2)$
103.10.a.b	$103$	$10$	103.a	1.a	$1$	$41$	$41$	$53.049$		$_{}$	None	None	✓	$1$	$0$	\(79\)	\(316\)	\(2328\)	\(13911\)	$-$		$\mathrm{SU}(2)$
103.11.b.a	$103$	$11$	103.b	103.b	$2$	$1$	$1$	$65.442$	\(\Q\)	$_{}$	\(\Q(\sqrt{-103}) \)	None	✓	$2$	$0$	\(-39\)	\(0\)	\(0\)	\(242\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-39q^{2}+497q^{4}+242q^{7}+20553q^{8}+\cdots\)
103.11.b.b	$103$	$11$	103.b	103.b	$2$	$4$	$4$	$65.442$	4.4.1326125.1	$_{}$	\(\Q(\sqrt{-103}) \)	None	✓	$2$	$0$	\(39\)	\(0\)	\(0\)	\(-242\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(17+17\beta _{2}-5\beta _{3})q^{2}+(2^{10}+195\beta _{1}+\cdots)q^{4}+\cdots\)
103.11.b.c	$103$	$11$	103.b	103.b	$2$	$80$	$80$	$65.442$		$_{}$	None	None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(56700\)			$\mathrm{SU}(2)[C_{2}]$
103.12.a.a	$103$	$12$	103.a	1.a	$1$	$44$	$44$	$79.139$		$_{}$	None	None	✓	$1$	$1$	\(-137\)	\(-992\)	\(-21435\)	\(-103218\)	$-$		$\mathrm{SU}(2)$
103.12.a.b	$103$	$12$	103.a	1.a	$1$	$49$	$49$	$79.139$		$_{}$	None	None	✓	$1$	$0$	\(183\)	\(466\)	\(16065\)	\(31238\)	$+$		$\mathrm{SU}(2)$
103.14.a.a	$103$	$14$	103.a	1.a	$1$	$53$	$53$	$110.448$		$_{}$	None	None	✓	$1$	$1$	\(-321\)	\(-2318\)	\(-88497\)	\(-350426\)	$+$		$\mathrm{SU}(2)$
103.14.a.b	$103$	$14$	103.a	1.a	$1$	$58$	$58$	$110.448$		$_{}$	None	None	✓	$1$	$0$	\(319\)	\(2056\)	\(99003\)	\(590766\)	$-$		$\mathrm{SU}(2)$
103.16.a.a	$103$	$16$	103.a	1.a	$1$	$61$	$61$	$146.974$		$_{}$	None	None	✓	$1$	$1$	\(-857\)	\(-3932\)	\(-439140\)	\(-3190353\)	$-$		$\mathrm{SU}(2)$
103.16.a.b	$103$	$16$	103.a	1.a	$1$	$66$	$66$	$146.974$		$_{}$	None	None	✓	$1$	$0$	\(423\)	\(9190\)	\(498360\)	\(3397991\)	$+$		$\mathrm{SU}(2)$
103.18.a.a	$103$	$18$	103.a	1.a	$1$	$70$	$70$	$188.719$		$_{}$	None	None	✓	$1$	$1$	\(-753\)	\(-23762\)	\(-2234097\)	\(-22054742\)	$+$		$\mathrm{SU}(2)$
103.18.a.b	$103$	$18$	103.a	1.a	$1$	$75$	$75$	$188.719$		$_{}$	None	None	✓	$1$	$0$	\(1807\)	\(15604\)	\(2453403\)	\(24063666\)	$-$		$\mathrm{SU}(2)$