Newform search results

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

Results (6 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	7
1568.2.a.c	$1568$	$2$	1568.a	1.a	$1$	$1$	$1$	$12.521$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
1568.2.a.e	$1568$	$2$	1568.a	1.a	$1$	$1$	$1$	$12.521$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+2q^{5}-3q^{9}-6q^{13}-2q^{17}-q^{25}+\cdots\)
1568.2.a.g	$1568$	$2$	1568.a	1.a	$1$	$1$	$1$	$12.521$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
1568.2.a.j	$1568$	$2$	1568.a	1.a	$1$	$2$	$2$	$12.521$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(-1+2\beta )q^{5}-2\beta q^{9}+\cdots\)
1568.2.a.k	$1568$	$2$	1568.a	1.a	$1$	$2$	$2$	$12.521$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{3}+(-1+\beta )q^{5}+(3+2\beta )q^{9}+\cdots\)
1568.2.a.n	$1568$	$2$	1568.a	1.a	$1$	$2$	$2$	$12.521$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}-3\beta q^{11}-\beta q^{15}-5q^{17}+\cdots\)