Newform search results

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

Results (9 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
672.4.a.a	$672$	$4$	672.a	1.a	$1$	$1$	$1$	$39.649$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-18\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-18q^{5}+7q^{7}+9q^{9}-44q^{11}+\cdots\)
672.4.a.e	$672$	$4$	672.a	1.a	$1$	$2$	$2$	$39.649$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-10\)	\(-14\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-5-\beta )q^{5}-7q^{7}+9q^{9}+\cdots\)
672.4.a.g	$672$	$4$	672.a	1.a	$1$	$2$	$2$	$39.649$	\(\Q(\sqrt{11}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(8\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(4+\beta )q^{5}+7q^{7}+9q^{9}+(22+\cdots)q^{11}+\cdots\)
672.4.a.i	$672$	$4$	672.a	1.a	$1$	$2$	$2$	$39.649$	\(\Q(\sqrt{43}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(16\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(8+\beta )q^{5}+7q^{7}+9q^{9}+(2+\cdots)q^{11}+\cdots\)
672.4.a.m	$672$	$4$	672.a	1.a	$1$	$2$	$2$	$39.649$	\(\Q(\sqrt{137}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(10\)	\(14\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(5-\beta )q^{5}+7q^{7}+9q^{9}+(11+\cdots)q^{11}+\cdots\)
672.4.a.n	$672$	$4$	672.a	1.a	$1$	$2$	$2$	$39.649$	\(\Q(\sqrt{43}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(16\)	\(-14\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(8+\beta )q^{5}-7q^{7}+9q^{9}+(-2+\cdots)q^{11}+\cdots\)
672.4.a.p	$672$	$4$	672.a	1.a	$1$	$3$	$3$	$39.649$	3.3.37341.1	None	✓	$1$	$0$	\(0\)	\(-9\)	\(6\)	\(-21\)		$+$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(2-\beta _{1})q^{5}-7q^{7}+9q^{9}+\cdots\)
672.4.a.q	$672$	$4$	672.a	1.a	$1$	$3$	$3$	$39.649$	3.3.22700.1	None	✓	$1$	$0$	\(0\)	\(9\)	\(-10\)	\(-21\)		$-$	$-$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-3-\beta _{2})q^{5}-7q^{7}+9q^{9}+\cdots\)
672.4.a.r	$672$	$4$	672.a	1.a	$1$	$3$	$3$	$39.649$	3.3.37341.1	None	✓	$1$	$0$	\(0\)	\(9\)	\(6\)	\(21\)		$+$	$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(2-\beta _{1})q^{5}+7q^{7}+9q^{9}+\cdots\)