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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (12 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7
1764.4.a.e	$1764$	$4$	1764.a	1.a	$1$	$1$	$1$	$104.079$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-89q^{13}+163q^{19}-5^{3}q^{25}+19q^{31}+\cdots\)
1764.4.a.g	$1764$	$4$	1764.a	1.a	$1$	$1$	$1$	$104.079$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+19q^{13}-107q^{19}-5^{3}q^{25}+17^{2}q^{31}+\cdots\)
1764.4.a.o	$1764$	$4$	1764.a	1.a	$1$	$2$	$2$	$104.079$	\(\Q(\sqrt{193}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-11\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-5-\beta )q^{5}+(-1+7\beta )q^{11}+5\beta q^{13}+\cdots\)
1764.4.a.s	$1764$	$4$	1764.a	1.a	$1$	$2$	$2$	$104.079$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-\beta q^{11}-26q^{13}-5\beta q^{17}+\cdots\)
1764.4.a.t	$1764$	$4$	1764.a	1.a	$1$	$2$	$2$	$104.079$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+13\beta q^{11}+30q^{13}+23\beta q^{17}+\cdots\)
1764.4.a.u	$1764$	$4$	1764.a	1.a	$1$	$2$	$2$	$104.079$	\(\Q(\sqrt{385}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{5}-\beta q^{11}+54q^{13}-2\beta q^{17}+\cdots\)
1764.4.a.v	$1764$	$4$	1764.a	1.a	$1$	$2$	$2$	$104.079$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{5}+26q^{11}-24\beta q^{13}-73\beta q^{17}+\cdots\)
1764.4.a.x	$1764$	$4$	1764.a	1.a	$1$	$2$	$2$	$104.079$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(26+\beta )q^{11}+(33+5\beta )q^{13}+\cdots\)
1764.4.a.z	$1764$	$4$	1764.a	1.a	$1$	$2$	$2$	$104.079$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(14\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(7+2\beta )q^{5}+(-2^{4}+7\beta )q^{11}+(-14+\cdots)q^{13}+\cdots\)
1764.4.a.ba	$1764$	$4$	1764.a	1.a	$1$	$4$	$4$	$104.079$	4.4.136768.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+(-3\beta _{1}+\beta _{3})q^{11}-3\beta _{3}q^{13}+\cdots\)
1764.4.a.bb	$1764$	$4$	1764.a	1.a	$1$	$4$	$4$	$104.079$	\(\Q(\sqrt{7}, \sqrt{109})\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2^{8}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+\beta _{3}q^{11}-\beta _{2}q^{13}+9\beta _{1}q^{17}+\cdots\)
1764.4.a.bc	$1764$	$4$	1764.a	1.a	$1$	$4$	$4$	$104.079$	4.4.136768.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+(-3\beta _{1}+\beta _{3})q^{11}+3\beta _{3}q^{13}+\cdots\)