Newform search results

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

Results (11 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	7
7840.2.a.b	$7840$	$2$	7840.a	1.a	$1$	$1$	$1$	$62.603$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+q^{5}+6q^{9}+q^{11}+q^{13}+\cdots\)
7840.2.a.i	$7840$	$2$	7840.a	1.a	$1$	$1$	$1$	$62.603$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-2q^{9}-q^{11}-3q^{13}+\cdots\)
7840.2.a.j	$7840$	$2$	7840.a	1.a	$1$	$1$	$1$	$62.603$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-2q^{9}-q^{11}+q^{13}-q^{15}+\cdots\)
7840.2.a.k	$7840$	$2$	7840.a	1.a	$1$	$1$	$1$	$62.603$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-2q^{9}+2q^{11}-2q^{13}+\cdots\)
7840.2.a.o	$7840$	$2$	7840.a	1.a	$1$	$1$	$1$	$62.603$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{9}+4q^{11}-2q^{13}-6q^{17}+\cdots\)
7840.2.a.s	$7840$	$2$	7840.a	1.a	$1$	$1$	$1$	$62.603$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-2q^{9}-2q^{11}-2q^{13}+\cdots\)
7840.2.a.u	$7840$	$2$	7840.a	1.a	$1$	$1$	$1$	$62.603$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-2q^{9}+q^{11}+q^{13}+q^{15}+\cdots\)
7840.2.a.w	$7840$	$2$	7840.a	1.a	$1$	$1$	$1$	$62.603$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
7840.2.a.bg	$7840$	$2$	7840.a	1.a	$1$	$2$	$2$	$62.603$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+2q^{9}+\beta q^{11}-q^{13}+\cdots\)
7840.2.a.bm	$7840$	$2$	7840.a	1.a	$1$	$3$	$3$	$62.603$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+q^{5}+(2-\beta _{1}+2\beta _{2})q^{9}+\cdots\)
7840.2.a.bz	$7840$	$2$	7840.a	1.a	$1$	$5$	$5$	$62.603$	5.5.1686096.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(0\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+(2+\beta _{2})q^{9}+(-1-\beta _{4})q^{11}+\cdots\)