Newform search results

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

Results (5 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	37
2738.2.a.e	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(0\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
2738.2.a.f	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(0\)	\(8\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
2738.2.a.h	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(-2\)	\(1\)	\(3\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(1+\beta )q^{5}-\beta q^{6}+\cdots\)
2738.2.a.r	$2738$	$2$	2738.a	1.a	$1$	$6$	$6$	$21.863$	\(\Q(\zeta_{36})^+\)	None	✓	$1$	$0$	\(-6\)	\(0\)	\(6\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{2}+\beta _{4})q^{3}+q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots\)
2738.2.a.w	$2738$	$2$	2738.a	1.a	$1$	$18$	$18$	$21.863$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(-18\)	\(8\)	\(-9\)	\(18\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1}+\beta _{12})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)