Newform search results

Results (19 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1339.1.b.a	$1339$	$1$	1339.b	1339.b	$2$	$1$	$1$	$0.668$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-103}) \), \(\Q(\sqrt{-1339}) \)	\(\Q(\sqrt{13}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{4}+q^{9}+q^{13}+q^{16}-2q^{17}+\cdots\)
1339.1.b.b	$1339$	$1$	1339.b	1339.b	$2$	$2$	$2$	$0.668$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-1339}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+q^{4}-\beta q^{5}+q^{9}+\beta q^{11}-q^{13}+\cdots\)
1339.1.b.c	$1339$	$1$	1339.b	1339.b	$2$	$4$	$4$	$0.668$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-103}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+(\zeta_{10}+\zeta_{10}^{4})q^{2}+(-1+\zeta_{10}^{2}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\)
1339.1.n.a	$1339$	$1$	1339.n	1339.n	$6$	$2$	$1$	$0.668$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-103}) \)	None		$4$	$0$	\(-2\)	\(0\)	\(0\)	\(1\)		$1$		\(q-\zeta_{6}q^{2}+3\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{7}-2q^{8}+\cdots\)
1339.1.n.b	$1339$	$1$	1339.n	1339.n	$6$	$4$	$2$	$0.668$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)		$1$		\(q-\zeta_{12}^{4}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{5}+\zeta_{12}^{5}q^{6}+\cdots\)
1339.1.n.c	$1339$	$1$	1339.n	1339.n	$6$	$8$	$4$	$0.668$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-103}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+(-\zeta_{30}^{7}-\zeta_{30}^{13})q^{2}+(-\zeta_{30}^{5}+\cdots)q^{4}+\cdots\)
1339.1.t.a	$1339$	$1$	1339.t	1339.t	$6$	$2$	$1$	$0.668$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-103}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$1$		\(q-\zeta_{6}q^{4}+(-1+\zeta_{6}^{2})q^{7}-\zeta_{6}q^{9}+\cdots\)
1339.1.t.b	$1339$	$1$	1339.t	1339.t	$6$	$8$	$4$	$0.668$	\(\Q(\zeta_{15})\)	$D_{30}$	\(\Q(\sqrt{-103}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(3\)		$1$		\(q+(-\zeta_{30}^{2}+\zeta_{30}^{8})q^{2}+(-\zeta_{30}+\zeta_{30}^{4}+\cdots)q^{4}+\cdots\)
1339.2.a.a	$1339$	$2$	1339.a	1.a	$1$	$1$	$1$	$10.692$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(-1\)	\(1\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+4q^{7}+\cdots\)
1339.2.a.b	$1339$	$2$	1339.a	1.a	$1$	$1$	$1$	$10.692$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{7}-3q^{8}-3q^{9}+6q^{11}+\cdots\)
1339.2.a.c	$1339$	$2$	1339.a	1.a	$1$	$3$	$3$	$10.692$	3.3.148.1	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-7\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
1339.2.a.d	$1339$	$2$	1339.a	1.a	$1$	$19$	$19$	$10.692$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-9\)	\(-2\)	\(-18\)	\(-8\)	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{14}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1339.2.a.e	$1339$	$2$	1339.a	1.a	$1$	$21$	$21$	$10.692$		$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-6\)	\(-18\)	\(-2\)	$+$		$\mathrm{SU}(2)$
1339.2.a.f	$1339$	$2$	1339.a	1.a	$1$	$28$	$28$	$10.692$		$_{}$	None	None	✓	$1$	$0$	\(6\)	\(5\)	\(27\)	\(6\)	$-$		$\mathrm{SU}(2)$
1339.2.a.g	$1339$	$2$	1339.a	1.a	$1$	$30$	$30$	$10.692$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(5\)	\(17\)	\(2\)	$-$		$\mathrm{SU}(2)$
1339.4.a.a	$1339$	$4$	1339.a	1.a	$1$	$72$	$72$	$79.004$		$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-19\)	\(-73\)	\(3\)	$-$		$\mathrm{SU}(2)$
1339.4.a.b	$1339$	$4$	1339.a	1.a	$1$	$73$	$73$	$79.004$		$_{}$	None	None	✓	$1$	$1$	\(-15\)	\(-19\)	\(-149\)	\(-49\)	$-$		$\mathrm{SU}(2)$
1339.4.a.c	$1339$	$4$	1339.a	1.a	$1$	$80$	$80$	$79.004$		$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(17\)	\(97\)	\(3\)	$+$		$\mathrm{SU}(2)$
1339.4.a.d	$1339$	$4$	1339.a	1.a	$1$	$81$	$81$	$79.004$		$_{}$	None	None	✓	$1$	$0$	\(25\)	\(17\)	\(141\)	\(63\)	$+$		$\mathrm{SU}(2)$