Newform search results

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

Results (8 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	7	13
2366.2.a.a	$2366$	$2$	2366.a	1.a	$1$	$1$	$1$	$18.893$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-3\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}+q^{7}+\cdots\)
2366.2.a.d	$2366$	$2$	2366.a	1.a	$1$	$1$	$1$	$18.893$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
2366.2.a.f	$2366$	$2$	2366.a	1.a	$1$	$1$	$1$	$18.893$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(3\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+q^{7}+\cdots\)
2366.2.a.g	$2366$	$2$	2366.a	1.a	$1$	$1$	$1$	$18.893$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(-3\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}-3q^{5}-3q^{6}+q^{7}+\cdots\)
2366.2.a.h	$2366$	$2$	2366.a	1.a	$1$	$1$	$1$	$18.893$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(4\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}+4q^{5}-3q^{6}+q^{7}+\cdots\)
2366.2.a.r	$2366$	$2$	2366.a	1.a	$1$	$2$	$2$	$18.893$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-4\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(-2-\beta )q^{5}-\beta q^{6}+\cdots\)
2366.2.a.u	$2366$	$2$	2366.a	1.a	$1$	$3$	$3$	$18.893$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-3\)	\(-5\)	\(-2\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-2-\beta _{2})q^{3}+q^{4}-2\beta _{1}q^{5}+\cdots\)
2366.2.a.w	$2366$	$2$	2366.a	1.a	$1$	$3$	$3$	$18.893$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(8\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-\beta _{1}-\beta _{2})q^{3}+q^{4}+(3+\beta _{2})q^{5}+\cdots\)