Newform search results

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

Results (8 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	5
1600.2.a.f	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{7}+q^{9}+4q^{11}-4q^{13}+\cdots\)
1600.2.a.g	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{7}-2q^{9}-5q^{11}+5q^{17}+\cdots\)
1600.2.a.j	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{7}-2q^{9}+3q^{11}+4q^{13}+\cdots\)
1600.2.a.s	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}-2q^{9}+5q^{11}+5q^{17}+\cdots\)
1600.2.a.v	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots\)
1600.2.a.x	$1600$	$2$	1600.a	1.a	$1$	$1$	$1$	$12.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2q^{7}+6q^{9}-q^{11}-4q^{13}+\cdots\)
1600.2.a.z	$1600$	$2$	1600.a	1.a	$1$	$2$	$2$	$12.776$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-5}) \)	✓	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(6\)		$+$	$-$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+(-1-\beta )q^{3}+(3-\beta )q^{7}+(3+2\beta )q^{9}+\cdots\)
1600.2.a.bd	$1600$	$2$	1600.a	1.a	$1$	$2$	$2$	$12.776$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-5}) \)	✓	$2$	$0$	\(0\)	\(2\)	\(0\)	\(-6\)		$+$	$-$	$-$	$2$	$N(\mathrm{U}(1))$	\(q+(1+\beta )q^{3}+(-3+\beta )q^{7}+(3+2\beta )q^{9}+\cdots\)