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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	383
8043.2.a.a	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(1\)	\(-3\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots\)
8043.2.a.c	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}-q^{7}+\cdots\)
8043.2.a.d	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(4\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+4q^{5}-q^{6}-q^{7}+\cdots\)
8043.2.a.g	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+2q^{5}-q^{7}+q^{9}+3q^{11}+\cdots\)
8043.2.a.k	$8043$	$2$	8043.a	1.a	$1$	$1$	$1$	$64.224$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(1\)	\(1\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}-q^{7}+\cdots\)
8043.2.a.m	$8043$	$2$	8043.a	1.a	$1$	$3$	$3$	$64.224$	3.3.148.1	None	✓	$1$	$0$	\(-1\)	\(3\)	\(-2\)	\(-3\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
8043.2.a.p	$8043$	$2$	8043.a	1.a	$1$	$41$	$41$	$64.224$		None	✓	$1$	$0$	\(7\)	\(41\)	\(17\)	\(-41\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$