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	11
1089.4.a.g	$1089$	$4$	1089.a	1.a	$1$	$1$	$1$	$64.253$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-20\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-8q^{4}-20q^{7}+70q^{13}+2^{6}q^{16}+\cdots\)
1089.4.a.l	$1089$	$4$	1089.a	1.a	$1$	$2$	$2$	$64.253$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(20\)	\(16\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(5-2\beta )q^{4}+(10+\beta )q^{5}+\cdots\)
1089.4.a.w	$1089$	$4$	1089.a	1.a	$1$	$2$	$2$	$64.253$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-20\)	\(16\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(5+2\beta )q^{4}+(-10+\beta )q^{5}+\cdots\)
1089.4.a.bc	$1089$	$4$	1089.a	1.a	$1$	$4$	$4$	$64.253$	4.4.14221152.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\beta _{2}q^{7}+\cdots\)
1089.4.a.bd	$1089$	$4$	1089.a	1.a	$1$	$4$	$4$	$64.253$	4.4.14221152.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}-\beta _{2}q^{7}+\cdots\)
1089.4.a.bl	$1089$	$4$	1089.a	1.a	$1$	$12$	$12$	$64.253$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-66\)		$+$	$-$	$-$	$2^{2}\cdot 11^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5+\beta _{2})q^{4}+(-\beta _{1}-\beta _{5}+\cdots)q^{5}+\cdots\)