Newform search results

Results (27 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3856.1.e.a	$3856$	$1$	3856.e	964.c	$2$	$2$	$2$	$1.924$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-241}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta q^{7}+q^{9}+\beta q^{11}-\beta q^{19}+\beta q^{23}+\cdots\)
3856.1.e.b	$3856$	$1$	3856.e	964.c	$2$	$4$	$4$	$1.924$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-241}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta _{2}q^{5}-\beta _{1}q^{7}+q^{9}+(-\beta _{1}-\beta _{3})q^{11}+\cdots\)
3856.1.t.a	$3856$	$1$	3856.t	964.g	$4$	$4$	$2$	$1.924$	\(\Q(\zeta_{8})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{8}-\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{5}+\zeta_{8}^{3}q^{7}+\cdots\)
3856.1.bc.a	$3856$	$1$	3856.bc	964.k	$6$	$4$	$2$	$1.924$	\(\Q(\sqrt{-2}, \sqrt{-3})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$1$		\(q+q^{5}+\beta _{1}q^{7}+(-1+\beta _{2})q^{9}+\beta _{2}q^{13}+\cdots\)
3856.1.bg.a	$3856$	$1$	3856.bg	964.l	$8$	$4$	$1$	$1.924$	\(\Q(\zeta_{8})\)	$D_{8}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{8}q^{5}-\zeta_{8}^{2}q^{9}+(-\zeta_{8}-\zeta_{8}^{2})q^{13}+\cdots\)
3856.1.bv.a	$3856$	$1$	3856.bv	3856.av	$12$	$4$	$1$	$1.924$	\(\Q(\zeta_{12})\)	$S_{4}$	None	None		$4$	$0$	\(-2\)	\(-2\)	\(0\)	\(2\)		$1$		\(q+\zeta_{12}^{4}q^{2}+(-\zeta_{12}^{2}-\zeta_{12}^{5})q^{3}+\cdots\)
3856.1.bv.b	$3856$	$1$	3856.bv	3856.av	$12$	$4$	$1$	$1.924$	\(\Q(\zeta_{12})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{4}q^{7}+\zeta_{12}^{3}q^{8}+\cdots\)
3856.1.dd.a	$3856$	$1$	3856.dd	964.y	$24$	$8$	$1$	$1.924$	\(\Q(\zeta_{24})\)	$D_{24}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{24}^{9}q^{5}-\zeta_{24}^{2}q^{9}+(\zeta_{24}^{5}+\zeta_{24}^{6}+\cdots)q^{13}+\cdots\)
3856.1.dq.a	$3856$	$1$	3856.dq	964.ac	$40$	$16$	$1$	$1.924$	\(\Q(\zeta_{40})\)	$D_{40}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{40}^{9}+\zeta_{40}^{13})q^{5}-\zeta_{40}^{18}q^{9}+\cdots\)
3856.1.fd.a	$3856$	$1$	3856.fd	964.al	$120$	$32$	$1$	$1.924$	\(\Q(\zeta_{120})\)	$D_{120}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{120}^{19}+\zeta_{120}^{23})q^{5}+\zeta_{120}^{58}q^{9}+\cdots\)
3856.2.a.a	$3856$	$2$	3856.a	1.a	$1$	$1$	$1$	$30.790$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+3q^{5}-3q^{7}+q^{9}-4q^{11}+\cdots\)
3856.2.a.b	$3856$	$2$	3856.a	1.a	$1$	$1$	$1$	$30.790$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{7}-3q^{9}+2q^{11}-2q^{13}+\cdots\)
3856.2.a.c	$3856$	$2$	3856.a	1.a	$1$	$1$	$1$	$30.790$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(-1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
3856.2.a.d	$3856$	$2$	3856.a	1.a	$1$	$1$	$1$	$30.790$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(1\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
3856.2.a.e	$3856$	$2$	3856.a	1.a	$1$	$2$	$2$	$30.790$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(2\)	\(-3\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta )q^{5}+(3-2\beta )q^{7}-2q^{9}+\cdots\)
3856.2.a.f	$3856$	$2$	3856.a	1.a	$1$	$2$	$2$	$30.790$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(2\)	\(1\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(2-3\beta )q^{5}-3q^{7}-2q^{9}+(-1+\cdots)q^{11}+\cdots\)
3856.2.a.g	$3856$	$2$	3856.a	1.a	$1$	$3$	$3$	$30.790$	3.3.229.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{2})q^{5}+3q^{7}+\cdots\)
3856.2.a.h	$3856$	$2$	3856.a	1.a	$1$	$6$	$6$	$30.790$	6.6.131357120.1	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-5\)	\(-10\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{5})q^{5}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
3856.2.a.i	$3856$	$2$	3856.a	1.a	$1$	$7$	$7$	$30.790$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(-8\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
3856.2.a.j	$3856$	$2$	3856.a	1.a	$1$	$7$	$7$	$30.790$	7.7.31056073.1	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(3\)	\(-8\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{6}q^{3}+(-1-\beta _{1}-\beta _{2}-\beta _{6})q^{5}+\cdots\)
3856.2.a.k	$3856$	$2$	3856.a	1.a	$1$	$9$	$9$	$30.790$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-4\)	\(5\)	\(-6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1-\beta _{4})q^{5}+(-1-\beta _{3})q^{7}+\cdots\)
3856.2.a.l	$3856$	$2$	3856.a	1.a	$1$	$11$	$11$	$30.790$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(-7\)	\(9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1-\beta _{10})q^{5}+(1-\beta _{8}+\cdots)q^{7}+\cdots\)
3856.2.a.m	$3856$	$2$	3856.a	1.a	$1$	$12$	$12$	$30.790$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-5\)	\(11\)	\(0\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1-\beta _{7})q^{5}+\beta _{3}q^{7}+(3+\beta _{2}+\cdots)q^{9}+\cdots\)
3856.2.a.n	$3856$	$2$	3856.a	1.a	$1$	$12$	$12$	$30.790$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(6\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{8}q^{3}+(1-\beta _{9})q^{5}+(-\beta _{4}+\beta _{5}+\cdots)q^{7}+\cdots\)
3856.2.a.o	$3856$	$2$	3856.a	1.a	$1$	$13$	$13$	$30.790$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-7\)	\(-7\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{10})q^{5}+\beta _{6}q^{7}+\cdots\)
3856.2.a.p	$3856$	$2$	3856.a	1.a	$1$	$13$	$13$	$30.790$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(7\)	\(1\)	\(11\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}-\beta _{4}q^{5}+(1-\beta _{4}-\beta _{6}+\cdots)q^{7}+\cdots\)
3856.2.a.q	$3856$	$2$	3856.a	1.a	$1$	$19$	$19$	$30.790$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-1\)	\(7\)	\(-9\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{6}q^{5}+\beta _{12}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)