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Results (10 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
279.1.d.a	$279$	$1$	279.d	31.b	$2$	$1$	$1$	$0.139$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-31}) \)	\(\Q(\sqrt{93}) \)	✓	✓			279.1.d.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-q^{4}+2q^{7}+q^{16}-2q^{19}-q^{25}+\cdots\)
837.1.d.a	$837$	$1$	837.d	31.b	$2$	$2$	$2$	$0.418$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{93}) \)		✓	✓	✓	837.1.d.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$2$		\(q-q^{4}-q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{11}+q^{16}+\cdots\)
1023.1.g.a	$1023$	$1$	1023.g	1023.g	$2$	$1$	$1$	$0.511$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1023}) \)	\(\Q(\sqrt{93}) \)	✓	✓			1023.1.g.a	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}-q^{4}+q^{9}-q^{11}+q^{12}+q^{16}+\cdots\)
1023.1.g.b	$1023$	$1$	1023.g	1023.g	$2$	$1$	$1$	$0.511$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1023}) \)	\(\Q(\sqrt{93}) \)	✓	✓			1023.1.g.a	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}-q^{4}+q^{9}+q^{11}-q^{12}+q^{16}+\cdots\)
2139.1.d.a	$2139$	$1$	2139.d	2139.d	$2$	$1$	$1$	$1.068$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-2139}) \)	\(\Q(\sqrt{93}) \)	✓	✓			2139.1.d.a	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{16}+q^{23}+\cdots\)
2139.1.d.b	$2139$	$1$	2139.d	2139.d	$2$	$1$	$1$	$1.068$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-2139}) \)	\(\Q(\sqrt{93}) \)	✓	✓			2139.1.d.a	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{9}+q^{12}+q^{16}-q^{23}+\cdots\)
2325.1.m.a	$2325$	$1$	2325.m	465.m	$4$	$4$	$2$	$1.160$	\(\Q(\zeta_{8})\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-155}) \)	\(\Q(\sqrt{93}) \)		✓			2325.1.m.a	$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{2}q^{9}+\zeta_{8}q^{12}+\cdots\)
2511.1.m.b	$2511$	$1$	2511.m	279.m	$6$	$2$	$1$	$1.253$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-31}) \)	\(\Q(\sqrt{93}) \)					279.1.d.a	$8$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{16}-q^{19}+\cdots\)
2511.1.m.c	$2511$	$1$	2511.m	279.m	$6$	$2$	$1$	$1.253$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{93}) \)					837.1.d.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+(-1-\zeta_{6})q^{11}+\cdots\)
2511.1.m.d	$2511$	$1$	2511.m	279.m	$6$	$2$	$1$	$1.253$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{93}) \)					837.1.d.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+(1+\zeta_{6})q^{11}+\zeta_{6}^{2}q^{16}+\cdots\)