Newform search results

Results (1-50 of 112 matches)

  Download displayed columns for results to

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
44.1.d.a	$44$	$1$	44.d	11.b	$2$	$1$	$1$	$0.022$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-11}) \)	None	✓	✓	✓	✓	44.1.d.a	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)		$1$		\(q-q^{3}-q^{5}+q^{11}+q^{15}-q^{23}+q^{27}+\cdots\)
44.2.a.a	$44$	$2$	44.a	1.a	$1$	$1$	$1$	$0.351$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	44.2.a.a	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}+2q^{7}-2q^{9}-q^{11}+\cdots\)
44.2.c.a	$44$	$2$	44.c	44.c	$2$	$4$	$4$	$0.351$	\(\Q(\sqrt{2}, \sqrt{-3})\)	$_{}$	None	None		✓	✓	✓	44.2.c.a	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-\beta _{2}q^{3}+(-1+\beta _{2})q^{4}-q^{5}+\cdots\)
44.2.e.a	$44$	$2$	44.e	11.c	$5$	$4$	$1$	$0.351$	\(\Q(\zeta_{10})\)	$_{}$	None	None		✓	✓	✓	44.2.e.a	$2$	$0$	\(0\)	\(-1\)	\(3\)	\(-7\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-1+\zeta_{10}+2\zeta_{10}^{3})q^{3}+(1-\zeta_{10}^{3})q^{5}+\cdots\)
44.2.g.a	$44$	$2$	44.g	44.g	$10$	$16$	$4$	$0.351$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		✓	✓	✓	44.2.g.a	$4$	$0$	\(-5\)	\(0\)	\(-6\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+\beta _{2}q^{2}+(-1-\beta _{1}-\beta _{2}-\beta _{13}-\beta _{14}+\cdots)q^{3}+\cdots\)
44.3.b.a	$44$	$3$	44.b	4.b	$2$	$10$	$10$	$1.199$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None		✓	✓	✓	44.3.b.a	$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{9}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}-\beta _{6}q^{3}+\beta _{1}q^{4}+\beta _{7}q^{5}+\cdots\)
44.3.d.a	$44$	$3$	44.d	11.b	$2$	$2$	$2$	$1.199$	\(\Q(\sqrt{33}) \)	$_{}$	\(\Q(\sqrt{-11}) \)	None	✓	✓	✓	✓	44.3.d.a	$2$	$0$	\(0\)	\(5\)	\(1\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(3-\beta )q^{3}+(-1+3\beta )q^{5}+(8-5\beta )q^{9}+\cdots\)
44.3.f.a	$44$	$3$	44.f	11.d	$10$	$8$	$2$	$1.199$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None		✓	✓	✓	44.3.f.a	$2$	$0$	\(0\)	\(-5\)	\(-1\)	\(15\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-2+\beta _{1}-\beta _{3}-\beta _{4}-\beta _{5}+\beta _{6}+\cdots)q^{3}+\cdots\)
44.3.h.a	$44$	$3$	44.h	44.h	$10$	$40$	$10$	$1.199$		$_{}$	None	None		✓	✓	✓	44.3.h.a	$4$	$0$	\(-5\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.4.a.a	$44$	$4$	44.a	1.a	$1$	$1$	$1$	$2.596$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	44.4.a.a	$1$	$1$	\(0\)	\(-5\)	\(-7\)	\(-26\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}-7q^{5}-26q^{7}-2q^{9}-11q^{11}+\cdots\)
44.4.a.b	$44$	$4$	44.a	1.a	$1$	$2$	$2$	$2.596$	\(\Q(\sqrt{97}) \)	$_{}$	None	None	✓	✓	✓	✓	44.4.a.b	$1$	$0$	\(0\)	\(9\)	\(11\)	\(10\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(5-\beta )q^{3}+(5+\beta )q^{5}+(2+6\beta )q^{7}+\cdots\)
44.4.c.a	$44$	$4$	44.c	44.c	$2$	$16$	$16$	$2.596$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		✓	✓	✓	44.4.c.a	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{22}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(-1+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots\)
44.4.e.a	$44$	$4$	44.e	11.c	$5$	$12$	$3$	$2.596$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		✓	✓	✓	44.4.e.a	$2$	$0$	\(0\)	\(-4\)	\(-4\)	\(6\)		$2^{4}$	$\mathrm{SU}(2)[C_{5}]$	\(q-\beta _{7}q^{3}+(1+\beta _{1}+3\beta _{2}+3\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots\)
44.4.g.a	$44$	$4$	44.g	44.g	$10$	$64$	$16$	$2.596$		$_{}$	None	None		✓	✓	✓	44.4.g.a	$4$	$0$	\(-5\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.5.b.a	$44$	$5$	44.b	4.b	$2$	$20$	$20$	$4.548$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	$_{}$	None	None		✓	✓	✓	44.5.b.a	$2$	$0$	\(0\)	\(0\)	\(24\)	\(0\)		$2^{36}\cdot 11^{5}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(-1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
44.5.d.a	$44$	$5$	44.d	11.b	$2$	$2$	$2$	$4.548$	\(\Q(\sqrt{33}) \)	$_{}$	\(\Q(\sqrt{-11}) \)	None	✓	✓			44.5.d.a	$2$	$0$	\(0\)	\(-7\)	\(49\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(-1-5\beta )q^{3}+(23+3\beta )q^{5}+(120+\cdots)q^{9}+\cdots\)
44.5.d.b	$44$	$5$	44.d	11.b	$2$	$2$	$2$	$4.548$	\(\Q(\sqrt{-206}) \)	$_{}$	None	None		✓			44.5.d.b	$2$	$0$	\(0\)	\(-6\)	\(-34\)	\(0\)		$2\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q-3q^{3}-17q^{5}+\beta q^{7}-72q^{9}+(-85+\cdots)q^{11}+\cdots\)
44.5.f.a	$44$	$5$	44.f	11.d	$10$	$16$	$4$	$4.548$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		✓	✓	✓	44.5.f.a	$2$	$0$	\(0\)	\(13\)	\(-15\)	\(-75\)		$2^{4}\cdot 11^{2}$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-\beta _{1}+\beta _{2}+\beta _{3}+\beta _{4}+\beta _{5}-\beta _{6}+\cdots)q^{3}+\cdots\)
44.5.h.a	$44$	$5$	44.h	44.h	$10$	$88$	$22$	$4.548$		$_{}$	None	None		✓	✓	✓	44.5.h.a	$4$	$0$	\(3\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.6.a.a	$44$	$6$	44.a	1.a	$1$	$1$	$1$	$7.057$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	44.6.a.a	$1$	$1$	\(0\)	\(7\)	\(-79\)	\(-50\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+7q^{3}-79q^{5}-50q^{7}-194q^{9}+\cdots\)
44.6.a.b	$44$	$6$	44.a	1.a	$1$	$2$	$2$	$7.057$	\(\Q(\sqrt{31}) \)	$_{}$	None	None	✓	✓	✓	✓	44.6.a.b	$1$	$0$	\(0\)	\(-6\)	\(-22\)	\(268\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-3+\beta )q^{3}+(-11+2\beta )q^{5}+(134+\cdots)q^{7}+\cdots\)
44.6.c.a	$44$	$6$	44.c	44.c	$2$	$28$	$28$	$7.057$		$_{}$	None	None		✓	✓	✓	44.6.c.a	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
44.6.e.a	$44$	$6$	44.e	11.c	$5$	$20$	$5$	$7.057$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		✓	✓	✓	44.6.e.a	$2$	$0$	\(0\)	\(23\)	\(-7\)	\(253\)		$2^{16}\cdot 11^{2}$	$\mathrm{SU}(2)[C_{5}]$	\(q+(-2\beta _{2}+2\beta _{4}+\beta _{6})q^{3}+(2+\beta _{1}+\cdots)q^{5}+\cdots\)
44.6.g.a	$44$	$6$	44.g	44.g	$10$	$112$	$28$	$7.057$		$_{}$	None	None		✓	✓	✓	44.6.g.a	$4$	$0$	\(-5\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.7.b.a	$44$	$7$	44.b	4.b	$2$	$30$	$30$	$10.122$		$_{}$	None	None		✓	✓	✓	44.7.b.a	$2$	$0$	\(0\)	\(0\)	\(-44\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
44.7.d.a	$44$	$7$	44.d	11.b	$2$	$2$	$2$	$10.122$	\(\Q(\sqrt{33}) \)	$_{}$	\(\Q(\sqrt{-11}) \)	None	✓	✓			44.7.d.a	$2$	$0$	\(0\)	\(-10\)	\(-74\)	\(0\)		$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-5-2\beta )q^{3}+(-37-9\beta )q^{5}+(1408+\cdots)q^{9}+\cdots\)
44.7.d.b	$44$	$7$	44.d	11.b	$2$	$4$	$4$	$10.122$	\(\mathbb{Q}[x]/(x^{4} + \cdots)\)	$_{}$	None	None		✓	✓		44.7.d.b	$2$	$0$	\(0\)	\(6\)	\(-110\)	\(0\)		$2^{3}\cdot 3\cdot 5$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1+\beta _{3})q^{3}+(-5^{2}-5\beta _{3})q^{5}-\beta _{1}q^{7}+\cdots\)
44.7.f.a	$44$	$7$	44.f	11.d	$10$	$24$	$6$	$10.122$		$_{}$	None	None		✓	✓	✓	44.7.f.a	$2$	$0$	\(0\)	\(4\)	\(184\)	\(-360\)			$\mathrm{SU}(2)[C_{10}]$
44.7.h.a	$44$	$7$	44.h	44.h	$10$	$136$	$34$	$10.122$		$_{}$	None	None		✓	✓	✓	44.7.h.a	$4$	$0$	\(-13\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.8.a.a	$44$	$8$	44.a	1.a	$1$	$3$	$3$	$13.745$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	44.8.a.a	$1$	$1$	\(0\)	\(-62\)	\(288\)	\(-196\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-21-\beta _{1})q^{3}+(98+5\beta _{1}+\beta _{2})q^{5}+\cdots\)
44.8.a.b	$44$	$8$	44.a	1.a	$1$	$4$	$4$	$13.745$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	44.8.a.b	$1$	$0$	\(0\)	\(75\)	\(-219\)	\(1150\)	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+(19+\beta _{1})q^{3}+(-54+\beta _{1}-\beta _{3})q^{5}+\cdots\)
44.8.c.a	$44$	$8$	44.c	44.c	$2$	$40$	$40$	$13.745$		$_{}$	None	None		✓	✓	✓	44.8.c.a	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
44.8.e.a	$44$	$8$	44.e	11.c	$5$	$28$	$7$	$13.745$		$_{}$	None	None		✓	✓	✓	44.8.e.a	$2$	$0$	\(0\)	\(-13\)	\(-69\)	\(-1939\)			$\mathrm{SU}(2)[C_{5}]$
44.8.g.a	$44$	$8$	44.g	44.g	$10$	$160$	$40$	$13.745$		$_{}$	None	None		✓	✓	✓	44.8.g.a	$4$	$0$	\(-5\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.9.b.a	$44$	$9$	44.b	4.b	$2$	$40$	$40$	$17.925$		$_{}$	None	None		✓	✓	✓	44.9.b.a	$2$	$0$	\(0\)	\(0\)	\(-336\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
44.9.d.a	$44$	$9$	44.d	11.b	$2$	$2$	$2$	$17.925$	\(\Q(\sqrt{33}) \)	$_{}$	\(\Q(\sqrt{-11}) \)	None	✓	✓			44.9.d.a	$2$	$0$	\(0\)	\(113\)	\(-1151\)	\(0\)		$7$	$\mathrm{U}(1)[D_{2}]$	\(q+(59+5\beta )q^{3}+(-565+21\beta )q^{5}+\cdots\)
44.9.d.b	$44$	$9$	44.d	11.b	$2$	$6$	$6$	$17.925$	\(\mathbb{Q}[x]/(x^{6} + \cdots)\)	$_{}$	None	None		✓	✓		44.9.d.b	$2$	$0$	\(0\)	\(-36\)	\(1856\)	\(0\)		$2^{8}\cdot 3^{2}\cdot 11^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-6-\beta _{2})q^{3}+(309+\beta _{5})q^{5}+\beta _{1}q^{7}+\cdots\)
44.9.f.a	$44$	$9$	44.f	11.d	$10$	$32$	$8$	$17.925$		$_{}$	None	None		✓	✓	✓	44.9.f.a	$2$	$0$	\(0\)	\(-77\)	\(-705\)	\(5475\)			$\mathrm{SU}(2)[C_{10}]$
44.9.h.a	$44$	$9$	44.h	44.h	$10$	$184$	$46$	$17.925$		$_{}$	None	None		✓	✓	✓	44.9.h.a	$4$	$0$	\(3\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.10.a.a	$44$	$10$	44.a	1.a	$1$	$3$	$3$	$22.662$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	44.10.a.a	$1$	$1$	\(0\)	\(-131\)	\(1011\)	\(-2230\)	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+(-44+\beta _{1})q^{3}+(337+\beta _{1}-\beta _{2})q^{5}+\cdots\)
44.10.a.b	$44$	$10$	44.a	1.a	$1$	$4$	$4$	$22.662$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	44.10.a.b	$1$	$0$	\(0\)	\(-105\)	\(93\)	\(1318\)	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(-26-\beta _{1})q^{3}+(5^{2}-5\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
44.10.c.a	$44$	$10$	44.c	44.c	$2$	$52$	$52$	$22.662$		$_{}$	None	None		✓	✓	✓	44.10.c.a	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
44.10.e.a	$44$	$10$	44.e	11.c	$5$	$36$	$9$	$22.662$		$_{}$	None	None		✓	✓	✓	44.10.e.a	$2$	$0$	\(0\)	\(-220\)	\(228\)	\(4038\)			$\mathrm{SU}(2)[C_{5}]$
44.10.g.a	$44$	$10$	44.g	44.g	$10$	$208$	$52$	$22.662$		$_{}$	None	None		✓	✓	✓	44.10.g.a	$4$	$0$	\(-5\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.11.b.a	$44$	$11$	44.b	4.b	$2$	$50$	$50$	$27.956$		$_{}$	None	None		✓	✓	✓	44.11.b.a	$2$	$0$	\(0\)	\(0\)	\(3116\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
44.11.d.a	$44$	$11$	44.d	11.b	$2$	$2$	$2$	$27.956$	\(\Q(\sqrt{33}) \)	$_{}$	\(\Q(\sqrt{-11}) \)	None	✓	✓			44.11.d.a	$2$	$0$	\(0\)	\(-475\)	\(3001\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(-222-31\beta )q^{3}+(674+1653\beta )q^{5}+\cdots\)
44.11.d.b	$44$	$11$	44.d	11.b	$2$	$8$	$8$	$27.956$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None		✓	✓		44.11.d.b	$2$	$0$	\(0\)	\(462\)	\(-3570\)	\(0\)		$2^{18}\cdot 3^{7}\cdot 5\cdot 11^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(58+\beta _{1})q^{3}+(-446+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
44.11.f.a	$44$	$11$	44.f	11.d	$10$	$40$	$10$	$27.956$		$_{}$	None	None		✓	✓	✓	44.11.f.a	$2$	$0$	\(0\)	\(13\)	\(569\)	\(-9735\)			$\mathrm{SU}(2)[C_{10}]$
44.11.h.a	$44$	$11$	44.h	44.h	$10$	$232$	$58$	$27.956$		$_{}$	None	None		✓	✓	✓	44.11.h.a	$4$	$0$	\(19\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
44.12.a.a	$44$	$12$	44.a	1.a	$1$	$4$	$4$	$33.807$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	$_{}$	None	None	✓	✓	✓	✓	44.12.a.a	$1$	$1$	\(0\)	\(-83\)	\(713\)	\(-39534\)	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(-21-\beta _{1})q^{3}+(179+4\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)

  Download displayed columns for results to