Newform search results

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

Results (13 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.a	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(-4\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}-4q^{5}+2q^{6}+\cdots\)
8619.2.a.b	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(2\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}+2q^{5}+2q^{6}+\cdots\)
8619.2.a.d	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(1\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}-2q^{7}+\cdots\)
8619.2.a.e	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(4\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+4q^{5}+q^{6}-2q^{7}+\cdots\)
8619.2.a.h	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-1\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}+2q^{7}+\cdots\)
8619.2.a.i	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(2\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+2q^{5}-q^{6}-3q^{8}+\cdots\)
8619.2.a.l	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-1\)	\(-2\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}-2q^{5}-2q^{6}+\cdots\)
8619.2.a.m	$8619$	$2$	8619.a	1.a	$1$	$1$	$1$	$68.823$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-1\)	\(4\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}+4q^{5}-2q^{6}+\cdots\)
8619.2.a.q	$8619$	$2$	8619.a	1.a	$1$	$2$	$2$	$68.823$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(-3\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(2+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
8619.2.a.z	$8619$	$2$	8619.a	1.a	$1$	$6$	$6$	$68.823$	6.6.83831632.1	None	✓	$1$	$0$	\(-2\)	\(-6\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
8619.2.a.bh	$8619$	$2$	8619.a	1.a	$1$	$9$	$9$	$68.823$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(-9\)	\(-5\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
8619.2.a.bi	$8619$	$2$	8619.a	1.a	$1$	$9$	$9$	$68.823$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-9\)	\(5\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}+(1+\cdots)q^{5}+\cdots\)
8619.2.a.bv	$8619$	$2$	8619.a	1.a	$1$	$24$	$24$	$68.823$		None	✓	$1$	$0$	\(1\)	\(-24\)	\(11\)	\(2\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$