Newform search results

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

Results (7 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
1089.6.a.f	$1089$	$6$	1089.a	1.a	$1$	$1$	$1$	$174.658$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-25\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2^{5}q^{4}-5^{2}q^{7}+1202q^{13}+2^{10}q^{16}+\cdots\)
1089.6.a.g	$1089$	$6$	1089.a	1.a	$1$	$1$	$1$	$174.658$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(25\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2^{5}q^{4}+5^{2}q^{7}-1202q^{13}+2^{10}q^{16}+\cdots\)
1089.6.a.w	$1089$	$6$	1089.a	1.a	$1$	$5$	$5$	$174.658$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(0\)	\(100\)	\(18\)		$+$	$-$	$-$	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(21-3\beta _{1}+\beta _{4})q^{4}+\cdots\)
1089.6.a.x	$1089$	$6$	1089.a	1.a	$1$	$5$	$5$	$174.658$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(-100\)	\(18\)		$+$	$-$	$-$	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(21-3\beta _{1}+\beta _{4})q^{4}+\cdots\)
1089.6.a.be	$1089$	$6$	1089.a	1.a	$1$	$8$	$8$	$174.658$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-106\)		$+$	$-$	$-$	$2^{4}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5^{2}+\beta _{2})q^{4}+(-3\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
1089.6.a.bf	$1089$	$6$	1089.a	1.a	$1$	$8$	$8$	$174.658$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(106\)		$+$	$-$	$-$	$2^{4}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5^{2}+\beta _{2})q^{4}+(3\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
1089.6.a.bo	$1089$	$6$	1089.a	1.a	$1$	$20$	$20$	$174.658$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(472\)		$+$	$-$	$-$	$2^{8}\cdot 3^{8}\cdot 5^{2}\cdot 11^{9}\cdot 31^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(15+\beta _{2})q^{4}+(\beta _{1}+\beta _{8})q^{5}+\cdots\)