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	7	19
5054.2.a.a	$5054$	$2$	5054.a	1.a	$1$	$1$	$1$	$40.356$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
5054.2.a.e	$5054$	$2$	5054.a	1.a	$1$	$2$	$2$	$40.356$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(1\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots\)
5054.2.a.s	$5054$	$2$	5054.a	1.a	$1$	$3$	$3$	$40.356$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(-3\)	\(3\)	\(-3\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-1+\beta _{2})q^{5}+\cdots\)
5054.2.a.v	$5054$	$2$	5054.a	1.a	$1$	$4$	$4$	$40.356$	\(\Q(\zeta_{20})^+\)	None	✓	$1$	$1$	\(-4\)	\(-4\)	\(2\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
5054.2.a.z	$5054$	$2$	5054.a	1.a	$1$	$6$	$6$	$40.356$	6.6.36538000.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-1\)	\(6\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}-\beta _{1}q^{6}+\cdots\)