Newform search results

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

Results (10 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
7056.2.a.i	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-6q^{11}-3q^{13}-4q^{17}+5q^{19}+\cdots\)
7056.2.a.bi	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-q^{11}+2q^{13}-3q^{17}-5q^{19}+\cdots\)
7056.2.a.bj	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{11}-6q^{13}+5q^{17}-q^{19}+\cdots\)
7056.2.a.bk	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{11}+4q^{13}+4q^{19}+8q^{23}+\cdots\)
7056.2.a.ce	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+(-2-2\beta )q^{11}+3\beta q^{13}+\cdots\)
7056.2.a.cg	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+(2-2\beta )q^{11}-\beta q^{13}+\cdots\)
7056.2.a.ct	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{5}+6q^{11}+4\beta q^{13}+\beta q^{17}+\cdots\)
7056.2.a.cu	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-\beta q^{11}+(3-\beta )q^{13}+4q^{17}+\cdots\)
7056.2.a.cw	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(-2+2\beta )q^{11}+3\beta q^{13}+\cdots\)
7056.2.a.cx	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(2+2\beta )q^{11}-\beta q^{13}+\cdots\)