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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	19	47
8037.2.a.b	$8037$	$2$	8037.a	1.a	$1$	$1$	$1$	$64.176$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-1\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{5}-3q^{7}-3q^{11}-2q^{13}+\cdots\)
8037.2.a.d	$8037$	$2$	8037.a	1.a	$1$	$1$	$1$	$64.176$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(3\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+3q^{5}+q^{7}+6q^{10}+\cdots\)
8037.2.a.e	$8037$	$2$	8037.a	1.a	$1$	$3$	$3$	$64.176$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots\)
8037.2.a.k	$8037$	$2$	8037.a	1.a	$1$	$7$	$7$	$64.176$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(6\)	\(7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{4}+\beta _{5})q^{4}+(1+\cdots)q^{5}+\cdots\)
8037.2.a.o	$8037$	$2$	8037.a	1.a	$1$	$18$	$18$	$64.176$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-5\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+(\beta _{14}+\cdots)q^{7}+\cdots\)
8037.2.a.q	$8037$	$2$	8037.a	1.a	$1$	$23$	$23$	$64.176$		None	✓	$1$	$0$	\(-2\)	\(0\)	\(-9\)	\(5\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$