Newform search results

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

Results (7 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.e	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-3q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
7056.2.a.y	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-7q^{13}+7q^{19}-5q^{25}+7q^{31}+\cdots\)
7056.2.a.be	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+5q^{13}+q^{19}-5q^{25}-11q^{31}+\cdots\)
7056.2.a.by	$7056$	$2$	7056.a	1.a	$1$	$1$	$1$	$56.342$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+3q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots\)
7056.2.a.ci	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-4q^{11}+3\beta q^{13}-5\beta q^{17}+\cdots\)
7056.2.a.cs	$7056$	$2$	7056.a	1.a	$1$	$2$	$2$	$56.342$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+4q^{11}-3\beta q^{13}-5\beta q^{17}+\cdots\)
7056.2.a.cy	$7056$	$2$	7056.a	1.a	$1$	$4$	$4$	$56.342$	\(\Q(\sqrt{2}, \sqrt{7})\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+\beta _{3}q^{11}-3\beta _{1}q^{13}+\beta _{2}q^{17}+\cdots\)