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Results (13 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2008.1.c.a	$2008$	$1$	2008.c	2008.c	$2$	$3$	$3$	$1.002$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-502}) \)	None	✓	$2$	$0$	\(-3\)	\(0\)	\(0\)	\(-1\)		$1$		\(q-q^{2}+q^{4}-\beta _{1}q^{7}-q^{8}+q^{9}-\beta _{2}q^{11}+\cdots\)
2008.1.c.b	$2008$	$1$	2008.c	2008.c	$2$	$3$	$3$	$1.002$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-502}) \)	None	✓	$2$	$0$	\(3\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{2}+q^{4}-\beta _{1}q^{7}+q^{8}+q^{9}+\beta _{2}q^{11}+\cdots\)
2008.1.j.a	$2008$	$1$	2008.j	2008.j	$10$	$4$	$1$	$1.002$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(4\)	\(-2\)	\(0\)	\(0\)		$1$		\(q+q^{2}+(-\zeta_{10}+\zeta_{10}^{2})q^{3}+q^{4}+(-\zeta_{10}+\cdots)q^{6}+\cdots\)
2008.1.w.a	$2008$	$1$	2008.w	2008.w	$50$	$20$	$1$	$1.002$	\(\Q(\zeta_{50})\)	$D_{25}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-5\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{50}^{5}q^{2}+(\zeta_{50}^{2}+\zeta_{50}^{4})q^{3}+\zeta_{50}^{10}q^{4}+\cdots\)
2008.1.bd.a	$2008$	$1$	2008.bd	2008.ad	$250$	$100$	$1$	$1.002$	\(\Q(\zeta_{250})\)	$D_{125}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{250}^{35}q^{2}+(\zeta_{250}^{14}-\zeta_{250}^{53})q^{3}+\cdots\)
2008.2.a.a	$2008$	$2$	2008.a	1.a	$1$	$9$	$9$	$16.034$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-5\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{5})q^{5}+(\beta _{6}-\beta _{7}+\cdots)q^{7}+\cdots\)
2008.2.a.b	$2008$	$2$	2008.a	1.a	$1$	$12$	$12$	$16.034$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(3\)	\(5\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{8}q^{5}+\beta _{5}q^{7}+(\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
2008.2.a.c	$2008$	$2$	2008.a	1.a	$1$	$19$	$19$	$16.034$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-6\)	\(-8\)	\(-11\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{4}q^{5}+(-1-\beta _{13})q^{7}+\cdots\)
2008.2.a.d	$2008$	$2$	2008.a	1.a	$1$	$23$	$23$	$16.034$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(8\)	\(2\)	$-$		$\mathrm{SU}(2)$
2008.4.a.a	$2008$	$4$	2008.a	1.a	$1$	$40$	$40$	$118.476$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-4\)	\(-32\)	\(-10\)	$-$		$\mathrm{SU}(2)$
2008.4.a.b	$2008$	$4$	2008.a	1.a	$1$	$43$	$43$	$118.476$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(16\)	\(34\)	\(41\)	$+$		$\mathrm{SU}(2)$
2008.4.a.c	$2008$	$4$	2008.a	1.a	$1$	$50$	$50$	$118.476$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-11\)	\(-31\)	\(-71\)	$-$		$\mathrm{SU}(2)$
2008.4.a.d	$2008$	$4$	2008.a	1.a	$1$	$54$	$54$	$118.476$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(5\)	\(33\)	\(4\)	$+$		$\mathrm{SU}(2)$