Newform search results

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

Results (11 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	5
10000.2.a.f	$10000$	$2$	10000.a	1.a	$1$	$2$	$2$	$79.850$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}+(-1-\beta )q^{7}+2q^{9}+\cdots\)
10000.2.a.g	$10000$	$2$	10000.a	1.a	$1$	$2$	$2$	$79.850$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}+(-2+\beta )q^{7}+2q^{9}+\cdots\)
10000.2.a.i	$10000$	$2$	10000.a	1.a	$1$	$2$	$2$	$79.850$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-2\beta )q^{3}+(1+\beta )q^{7}+2q^{9}+(2+\cdots)q^{11}+\cdots\)
10000.2.a.p	$10000$	$2$	10000.a	1.a	$1$	$4$	$4$	$79.850$	4.4.7625.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-\beta _{2}q^{7}+(3-\beta _{1}+\beta _{3})q^{9}+\cdots\)
10000.2.a.q	$10000$	$2$	10000.a	1.a	$1$	$4$	$4$	$79.850$	4.4.7625.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-1-\beta _{3})q^{7}+(-2-\beta _{2}+\cdots)q^{9}+\cdots\)
10000.2.a.r	$10000$	$2$	10000.a	1.a	$1$	$4$	$4$	$79.850$	4.4.108625.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(\beta _{1}-\beta _{2})q^{7}+(-1+\cdots)q^{9}+\cdots\)
10000.2.a.z	$10000$	$2$	10000.a	1.a	$1$	$4$	$4$	$79.850$	4.4.7625.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(1+\beta _{3})q^{7}+(-2-\beta _{2})q^{9}+\cdots\)
10000.2.a.bg	$10000$	$2$	10000.a	1.a	$1$	$8$	$8$	$79.850$	8.8.3266578125.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}-\beta _{3})q^{3}+(\beta _{4}-\beta _{5})q^{7}+\cdots\)
10000.2.a.bh	$10000$	$2$	10000.a	1.a	$1$	$8$	$8$	$79.850$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{2}q^{7}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{9}+\cdots\)
10000.2.a.bk	$10000$	$2$	10000.a	1.a	$1$	$8$	$8$	$79.850$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{2}q^{7}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{9}+\cdots\)
10000.2.a.bo	$10000$	$2$	10000.a	1.a	$1$	$12$	$12$	$79.850$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(0\)		$+$	$+$	$+$	$5$	$\mathrm{SU}(2)$	\(q-\beta _{6}q^{3}+(1+\beta _{1}-\beta _{2}+\beta _{5})q^{7}+(2+\cdots)q^{9}+\cdots\)