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	13	17
8619.2.a.g	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-3q^{5}+4q^{7}+q^{9}+3q^{11}+\cdots\)
8619.2.a.r	$8619$	$2$	8619.a	1.a	$1$	$3$	$3$	$68.823$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-2\)	\(3\)	\(-1\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
8619.2.a.u	$8619$	$2$	8619.a	1.a	$1$	$3$	$3$	$68.823$	3.3.148.1	None	✓	$1$	$0$	\(3\)	\(3\)	\(6\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
8619.2.a.w	$8619$	$2$	8619.a	1.a	$1$	$5$	$5$	$68.823$	5.5.153424.1	None	✓	$1$	$0$	\(-3\)	\(5\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{2}+q^{3}+(2+\beta _{3}-\beta _{4})q^{4}+\cdots\)
8619.2.a.bk	$8619$	$2$	8619.a	1.a	$1$	$11$	$11$	$68.823$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(11\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
8619.2.a.bl	$8619$	$2$	8619.a	1.a	$1$	$11$	$11$	$68.823$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(11\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{4}q^{5}+\cdots\)
8619.2.a.bq	$8619$	$2$	8619.a	1.a	$1$	$21$	$21$	$68.823$		None	✓	$1$	$0$	\(9\)	\(21\)	\(26\)	\(-5\)		$-$	$+$	$+$	$-$		$\mathrm{SU}(2)$