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.i	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(0\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2738.2.a.j	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(0\)	\(8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
2738.2.a.k	$2738$	$2$	2738.a	1.a	$1$	$2$	$2$	$21.863$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(2\)	\(1\)	\(-3\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots\)
2738.2.a.s	$2738$	$2$	2738.a	1.a	$1$	$6$	$6$	$21.863$	\(\Q(\zeta_{36})^+\)	None	✓	$1$	$1$	\(6\)	\(0\)	\(-6\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(\beta _{2}+\beta _{4})q^{3}+q^{4}+(-1-\beta _{3}+\cdots)q^{5}+\cdots\)
2738.2.a.v	$2738$	$2$	2738.a	1.a	$1$	$9$	$9$	$21.863$	\(\Q(\zeta_{38})^+\)	None	✓	$1$	$1$	\(9\)	\(-7\)	\(-7\)	\(-14\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1}-\beta _{4})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)