Newform search results

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

Results (9 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	7
448.6.a.d	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-14\)	\(64\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-14q^{3}+2^{6}q^{5}-7^{2}q^{7}-47q^{9}+\cdots\)
448.6.a.g	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-4\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-6q^{3}-4q^{5}-7^{2}q^{7}-207q^{9}-240q^{11}+\cdots\)
448.6.a.h	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(96\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+96q^{5}-7^{2}q^{7}-239q^{9}+\cdots\)
448.6.a.l	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(10\)	\(-84\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+10q^{3}-84q^{5}-7^{2}q^{7}-143q^{9}+\cdots\)
448.6.a.p	$448$	$6$	448.a	1.a	$1$	$1$	$1$	$71.852$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(30\)	\(-32\)	\(-49\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+30q^{3}-2^{5}q^{5}-7^{2}q^{7}+657q^{9}+\cdots\)
448.6.a.q	$448$	$6$	448.a	1.a	$1$	$2$	$2$	$71.852$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$0$	\(0\)	\(-26\)	\(62\)	\(-98\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-13-\beta )q^{3}+(31+5\beta )q^{5}-7^{2}q^{7}+\cdots\)
448.6.a.u	$448$	$6$	448.a	1.a	$1$	$2$	$2$	$71.852$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(18\)	\(-98\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-3-3\beta )q^{3}+(9-5\beta )q^{5}-7^{2}q^{7}+\cdots\)
448.6.a.y	$448$	$6$	448.a	1.a	$1$	$2$	$2$	$71.852$	\(\Q(\sqrt{61}) \)	None	✓	$1$	$0$	\(0\)	\(14\)	\(-34\)	\(-98\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(7-\beta )q^{3}+(-17-7\beta )q^{5}-7^{2}q^{7}+\cdots\)
448.6.a.bd	$448$	$6$	448.a	1.a	$1$	$4$	$4$	$71.852$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(18\)	\(30\)	\(-196\)		$-$	$+$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+(4+\beta _{1})q^{3}+(7+\beta _{1}+\beta _{2})q^{5}-7^{2}q^{7}+\cdots\)