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Results (15 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3009.1.q.a	$3009$	$1$	3009.q	3009.q	$16$	$8$	$1$	$1.502$	\(\Q(\zeta_{16})\)	$D_{16}$	\(\Q(\sqrt{-59}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{16}q^{3}-\zeta_{16}^{2}q^{4}+(\zeta_{16}-\zeta_{16}^{2}+\cdots)q^{5}+\cdots\)
3009.1.q.b	$3009$	$1$	3009.q	3009.q	$16$	$8$	$1$	$1.502$	\(\Q(\zeta_{16})\)	$D_{16}$	\(\Q(\sqrt{-59}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{16}^{6}q^{3}-\zeta_{16}^{2}q^{4}+(-\zeta_{16}+\zeta_{16}^{2}+\cdots)q^{5}+\cdots\)
3009.1.q.c	$3009$	$1$	3009.q	3009.q	$16$	$16$	$2$	$1.502$	\(\Q(\zeta_{48})\)	$D_{48}$	\(\Q(\sqrt{-59}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{48}^{22}q^{3}-\zeta_{48}^{18}q^{4}+(-\zeta_{48}+\cdots)q^{5}+\cdots\)
3009.1.q.d	$3009$	$1$	3009.q	3009.q	$16$	$16$	$2$	$1.502$	\(\Q(\zeta_{48})\)	$D_{48}$	\(\Q(\sqrt{-59}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{48}q^{3}-\zeta_{48}^{18}q^{4}+(\zeta_{48}^{10}+\zeta_{48}^{17}+\cdots)q^{5}+\cdots\)
3009.2.a.a	$3009$	$2$	3009.a	1.a	$1$	$1$	$1$	$24.027$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}+2q^{7}+q^{9}-5q^{11}+\cdots\)
3009.2.a.b	$3009$	$2$	3009.a	1.a	$1$	$2$	$2$	$24.027$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
3009.2.a.c	$3009$	$2$	3009.a	1.a	$1$	$2$	$2$	$24.027$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(3\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(1+\beta )q^{5}+\cdots\)
3009.2.a.d	$3009$	$2$	3009.a	1.a	$1$	$14$	$14$	$24.027$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-4\)	\(14\)	\(-3\)	\(-11\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots\)
3009.2.a.e	$3009$	$2$	3009.a	1.a	$1$	$14$	$14$	$24.027$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(14\)	\(-5\)	\(-11\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}-\beta _{11}q^{5}-\beta _{1}q^{6}+\cdots\)
3009.2.a.f	$3009$	$2$	3009.a	1.a	$1$	$16$	$16$	$24.027$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-4\)	\(-16\)	\(-3\)	\(-3\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{9}q^{5}+\cdots\)
3009.2.a.g	$3009$	$2$	3009.a	1.a	$1$	$17$	$17$	$24.027$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(-17\)	\(-11\)	\(-5\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{6}+\cdots)q^{5}+\cdots\)
3009.2.a.h	$3009$	$2$	3009.a	1.a	$1$	$18$	$18$	$24.027$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(7\)	\(-18\)	\(2\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{15}q^{5}+\cdots\)
3009.2.a.i	$3009$	$2$	3009.a	1.a	$1$	$21$	$21$	$24.027$		$_{}$	None	None	✓	$1$	$0$	\(2\)	\(-21\)	\(10\)	\(1\)	$-$		$\mathrm{SU}(2)$
3009.2.a.j	$3009$	$2$	3009.a	1.a	$1$	$24$	$24$	$24.027$		$_{}$	None	None	✓	$1$	$0$	\(2\)	\(24\)	\(-3\)	\(19\)	$-$		$\mathrm{SU}(2)$
3009.2.a.k	$3009$	$2$	3009.a	1.a	$1$	$26$	$26$	$24.027$		$_{}$	None	None	✓	$1$	$0$	\(3\)	\(26\)	\(8\)	\(13\)	$-$		$\mathrm{SU}(2)$