Newform search results

Results (32 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2997.1.l.a	$2997$	$1$	2997.l	333.l	$6$	$2$	$1$	$1.496$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$1$		\(q+q^{4}-\zeta_{6}^{2}q^{7}-q^{13}+q^{16}-\zeta_{6}q^{19}+\cdots\)
2997.1.l.b	$2997$	$1$	2997.l	333.l	$6$	$4$	$2$	$1.496$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q-\beta _{3}q^{2}-q^{4}-\beta _{3}q^{5}+(1-\beta _{2})q^{7}+\cdots\)
2997.1.n.a	$2997$	$1$	2997.n	333.n	$6$	$2$	$1$	$1.496$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-111}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(1\)	\(1\)		$1$		\(q+\zeta_{6}^{2}q^{2}-3\zeta_{6}q^{4}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\cdots\)
2997.1.n.b	$2997$	$1$	2997.n	333.n	$6$	$2$	$1$	$1.496$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{37}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{16}-\zeta_{6}^{2}q^{25}+\cdots\)
2997.1.n.c	$2997$	$1$	2997.n	333.n	$6$	$2$	$1$	$1.496$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-111}) \)	None		$4$	$0$	\(2\)	\(0\)	\(-1\)	\(1\)		$1$		\(q-\zeta_{6}^{2}q^{2}-3\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\cdots\)
2997.1.n.d	$2997$	$1$	2997.n	333.n	$6$	$4$	$2$	$1.496$	\(\Q(\sqrt{2}, \sqrt{-3})\)	$D_{4}$	\(\Q(\sqrt{-111}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta _{1}q^{2}+\beta _{2}q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
2997.1.n.e	$2997$	$1$	2997.n	333.n	$6$	$4$	$2$	$1.496$	\(\Q(\zeta_{12})\)	$D_{6}$	\(\Q(\sqrt{-111}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$3$		\(q-\zeta_{12}^{4}q^{4}+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{5}+\cdots\)
2997.1.n.f	$2997$	$1$	2997.n	333.n	$6$	$8$	$4$	$1.496$	\(\Q(\zeta_{24})\)	$D_{12}$	\(\Q(\sqrt{-111}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3^{2}$		\(q+(-\zeta_{24}-\zeta_{24}^{7})q^{2}+\zeta_{24}^{8}q^{4}+(\zeta_{24}^{7}+\cdots)q^{5}+\cdots\)
2997.1.o.a	$2997$	$1$	2997.o	333.o	$6$	$2$	$1$	$1.496$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q+\zeta_{6}q^{4}+q^{7}+(1-\zeta_{6}^{2})q^{13}+\zeta_{6}^{2}q^{16}+\cdots\)
2997.1.u.a	$2997$	$1$	2997.u	333.u	$6$	$2$	$1$	$1.496$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$1$		\(q+\zeta_{6}^{2}q^{4}-q^{7}-\zeta_{6}^{2}q^{13}-\zeta_{6}q^{16}+\cdots\)
2997.1.u.b	$2997$	$1$	2997.u	333.u	$6$	$4$	$2$	$1.496$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$1$		\(q+(\beta _{1}-\beta _{3})q^{2}+(1-\beta _{2})q^{4}-\beta _{1}q^{5}+\cdots\)
2997.1.v.a	$2997$	$1$	2997.v	333.v	$6$	$2$	$1$	$1.496$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q-q^{4}-\zeta_{6}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+q^{16}+\cdots\)
2997.1.bj.a	$2997$	$1$	2997.bj	333.aa	$12$	$4$	$1$	$1.496$	\(\Q(\zeta_{12})\)	$D_{12}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{12}^{3}q^{4}+(-\zeta_{12}-\zeta_{12}^{3})q^{7}+(\zeta_{12}^{4}+\cdots)q^{13}+\cdots\)
2997.1.bm.a	$2997$	$1$	2997.bm	333.ad	$12$	$4$	$1$	$1.496$	\(\Q(\zeta_{12})\)	$D_{4}$	\(\Q(\sqrt{-3}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{12}^{5}q^{4}+(-\zeta_{12}^{2}+\zeta_{12}^{5})q^{13}+\cdots\)
2997.1.bp.a	$2997$	$1$	2997.bp	333.ag	$12$	$4$	$1$	$1.496$	\(\Q(\zeta_{12})\)	$D_{12}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{12}^{5}q^{4}+(\zeta_{12}-\zeta_{12}^{5})q^{7}+(1+\zeta_{12}+\cdots)q^{13}+\cdots\)
2997.1.ca.a	$2997$	$1$	2997.ca	333.ah	$18$	$6$	$1$	$1.496$	\(\Q(\zeta_{18})\)	$D_{18}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$1$		\(q+\zeta_{18}^{5}q^{4}+(-\zeta_{18}^{6}+\zeta_{18}^{7})q^{7}+\cdots\)
2997.1.cf.a	$2997$	$1$	2997.cf	333.aj	$18$	$6$	$1$	$1.496$	\(\Q(\zeta_{18})\)	$D_{18}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$1$		\(q+\zeta_{18}^{5}q^{4}+(\zeta_{18}^{3}+\zeta_{18}^{7})q^{7}+(\zeta_{18}^{3}+\cdots)q^{13}+\cdots\)
2997.1.cg.a	$2997$	$1$	2997.cg	333.ak	$18$	$6$	$1$	$1.496$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$1$		\(q-\zeta_{18}^{5}q^{4}+(\zeta_{18}^{6}-\zeta_{18}^{7})q^{7}+(1+\cdots)q^{13}+\cdots\)
2997.1.cp.a	$2997$	$1$	2997.cp	333.an	$18$	$6$	$1$	$1.496$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$1$		\(q-\zeta_{18}^{5}q^{4}+(-\zeta_{18}^{3}-\zeta_{18}^{7})q^{7}+\cdots\)
2997.1.dp.a	$2997$	$1$	2997.dp	333.aq	$36$	$12$	$1$	$1.496$	\(\Q(\zeta_{36})\)	$D_{36}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{36}^{11}q^{4}+(-\zeta_{36}-\zeta_{36}^{15})q^{7}+\cdots\)
2997.1.dy.a	$2997$	$1$	2997.dy	333.at	$36$	$12$	$1$	$1.496$	\(\Q(\zeta_{36})\)	$D_{36}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{36}^{11}q^{4}+(-\zeta_{36}-\zeta_{36}^{3})q^{7}+\cdots\)
2997.2.a.a	$2997$	$2$	2997.a	1.a	$1$	$2$	$2$	$23.931$	\(\Q(\sqrt{3}) \)	$_{}$	None	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}+2\beta q^{5}-4q^{7}-\beta q^{8}+\cdots\)
2997.2.a.b	$2997$	$2$	2997.a	1.a	$1$	$8$	$8$	$23.931$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{2}+\beta _{3}+\beta _{5})q^{4}-\beta _{5}q^{5}+\cdots\)
2997.2.a.c	$2997$	$2$	2997.a	1.a	$1$	$8$	$8$	$23.931$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(\beta _{2}+\beta _{3}+\beta _{5})q^{4}+\beta _{5}q^{5}+\cdots\)
2997.2.a.d	$2997$	$2$	2997.a	1.a	$1$	$10$	$10$	$23.931$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
2997.2.a.e	$2997$	$2$	2997.a	1.a	$1$	$10$	$10$	$23.931$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{7}q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
2997.2.a.f	$2997$	$2$	2997.a	1.a	$1$	$14$	$14$	$23.931$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{11}q^{5}-\beta _{9}q^{7}+\cdots\)
2997.2.a.g	$2997$	$2$	2997.a	1.a	$1$	$18$	$18$	$23.931$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-10\)	\(0\)	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{5})q^{5}+\cdots\)
2997.2.a.h	$2997$	$2$	2997.a	1.a	$1$	$18$	$18$	$23.931$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-4\)	\(0\)	\(-6\)	\(0\)	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{16}q^{5}+\beta _{8}q^{7}+\cdots\)
2997.2.a.i	$2997$	$2$	2997.a	1.a	$1$	$18$	$18$	$23.931$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(4\)	\(0\)	\(6\)	\(0\)	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{16}q^{5}+\beta _{8}q^{7}+\cdots\)
2997.2.a.j	$2997$	$2$	2997.a	1.a	$1$	$18$	$18$	$23.931$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(6\)	\(0\)	\(10\)	\(0\)	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{5})q^{5}+\cdots\)
2997.2.a.k	$2997$	$2$	2997.a	1.a	$1$	$20$	$20$	$23.931$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(18\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{15}q^{5}+(1+\cdots)q^{7}+\cdots\)