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
64.20.a.b	$64$	$20$	64.a	1.a	$1$	$1$	$1$	$146.443$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-50652\)	\(2377410\)	\(-16917544\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-50652q^{3}+2377410q^{5}-16917544q^{7}+\cdots\)
64.20.a.f	$64$	$20$	64.a	1.a	$1$	$1$	$1$	$146.443$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(36\)	\(196290\)	\(-35905576\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+6^{2}q^{3}+196290q^{5}-35905576q^{7}+\cdots\)
64.20.a.g	$64$	$20$	64.a	1.a	$1$	$1$	$1$	$146.443$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(13092\)	\(-6546750\)	\(96674264\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+13092q^{3}-6546750q^{5}+96674264q^{7}+\cdots\)
64.20.a.i	$64$	$20$	64.a	1.a	$1$	$1$	$1$	$146.443$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(53028\)	\(5556930\)	\(-44496424\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+53028q^{3}+5556930q^{5}-44496424q^{7}+\cdots\)
64.20.a.k	$64$	$20$	64.a	1.a	$1$	$2$	$2$	$146.443$	\(\Q(\sqrt{1453}) \)	None	✓	$1$	$0$	\(0\)	\(27912\)	\(-1226620\)	\(88510512\)		$+$	$+$	$2^{7}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(13956-\beta )q^{3}+(-613310+44\beta )q^{5}+\cdots\)
64.20.a.l	$64$	$20$	64.a	1.a	$1$	$3$	$3$	$146.443$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-23732\)	\(-2140218\)	\(55851720\)		$+$	$+$	$2^{21}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-7911+\beta _{1})q^{3}+(-713429+70\beta _{1}+\cdots)q^{5}+\cdots\)
64.20.a.p	$64$	$20$	64.a	1.a	$1$	$5$	$5$	$146.443$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-6424\)	\(4105330\)	\(-107158480\)		$+$	$+$	$2^{48}\cdot 3^{4}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(-1285-\beta _{1})q^{3}+(821058-39\beta _{1}+\cdots)q^{5}+\cdots\)
64.20.a.q	$64$	$20$	64.a	1.a	$1$	$5$	$5$	$146.443$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(6424\)	\(4105330\)	\(107158480\)		$+$	$+$	$2^{48}\cdot 3^{4}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(1285+\beta _{1})q^{3}+(821058-39\beta _{1}+\cdots)q^{5}+\cdots\)