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Results (7 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
467.1.b.a	$467$	$1$	467.b	467.b	$2$	$3$	$3$	$0.233$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-467}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
1868.1.d.a	$1868$	$1$	1868.d	467.b	$2$	$1$	$1$	$0.932$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-467}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-q^{3}-q^{7}+2q^{13}-q^{17}+q^{21}+\cdots\)
1868.1.d.b	$1868$	$1$	1868.d	467.b	$2$	$6$	$6$	$0.932$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-467}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q+\beta _{4}q^{3}+(-\beta _{2}+\beta _{5})q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
3269.1.g.a	$3269$	$1$	3269.g	3269.g	$6$	$2$	$1$	$1.631$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-467}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{7}+3\zeta_{6}^{2}q^{9}+\cdots\)
3269.1.g.c	$3269$	$1$	3269.g	3269.g	$6$	$12$	$6$	$1.631$	\(\Q(\zeta_{21})\)	$D_{21}$	\(\Q(\sqrt{-467}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(1\)	$1$		\(q+(-\zeta_{42}^{11}-\zeta_{42}^{17})q^{3}+\zeta_{42}^{14}q^{4}+\cdots\)
467.3.b.a	$467$	$3$	467.b	467.b	$2$	$7$	$7$	$12.725$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	\(\Q(\sqrt{-467}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{3}+4q^{4}+(-2\beta _{1}+\beta _{6})q^{7}+\cdots\)
1868.3.d.a	$1868$	$3$	1868.d	467.b	$2$	$14$	$14$	$50.899$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	\(\Q(\sqrt{-467}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{9}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{1}q^{3}+(-\beta _{7}+\beta _{13})q^{7}+(9-\beta _{2}+\cdots)q^{9}+\cdots\)