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	7	11
4851.2.a.be	$4851$	$2$	4851.a	1.a	$1$	$2$	$2$	$38.735$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+2q^{5}+(3+\cdots)q^{8}+\cdots\)
4851.2.a.bj	$4851$	$2$	4851.a	1.a	$1$	$3$	$3$	$38.735$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{2}q^{4}+(-2-\beta _{2})q^{5}+(-1+\cdots)q^{8}+\cdots\)
4851.2.a.bx	$4851$	$2$	4851.a	1.a	$1$	$4$	$4$	$38.735$	4.4.2624.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(-8\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+\beta _{2}q^{4}+(-1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
4851.2.a.by	$4851$	$2$	4851.a	1.a	$1$	$4$	$4$	$38.735$	4.4.2624.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(8\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+\beta _{2}q^{4}+(1+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
4851.2.a.ca	$4851$	$2$	4851.a	1.a	$1$	$5$	$5$	$38.735$	5.5.3676752.1	None	✓	$1$	$0$	\(-2\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1-\beta _{4})q^{5}+\cdots\)
4851.2.a.cg	$4851$	$2$	4851.a	1.a	$1$	$10$	$10$	$38.735$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{2}+(2+\beta _{9})q^{4}+\beta _{7}q^{5}+(1+\beta _{2}+\cdots)q^{8}+\cdots\)