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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	41
2009.2.a.b	$2009$	$2$	2009.a	1.a	$1$	$2$	$2$	$16.042$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{3}+(-1+\beta )q^{4}+(1+\cdots)q^{5}+\cdots\)
2009.2.a.g	$2009$	$2$	2009.a	1.a	$1$	$3$	$3$	$16.042$	3.3.148.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{2}-\beta _{2}q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
2009.2.a.h	$2009$	$2$	2009.a	1.a	$1$	$3$	$3$	$16.042$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(-1-\beta _{2})q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
2009.2.a.k	$2009$	$2$	2009.a	1.a	$1$	$3$	$3$	$16.042$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(4\)	\(-5\)	\(-2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+(-2+\beta _{1})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
2009.2.a.o	$2009$	$2$	2009.a	1.a	$1$	$6$	$6$	$16.042$	6.6.185257757.1	None	✓	$1$	$0$	\(-1\)	\(4\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1-\beta _{2})q^{3}+(1+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots\)
2009.2.a.q	$2009$	$2$	2009.a	1.a	$1$	$7$	$7$	$16.042$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(7\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1-\beta _{1})q^{3}+(1-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
2009.2.a.r	$2009$	$2$	2009.a	1.a	$1$	$17$	$17$	$16.042$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-1\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{12}q^{3}+(1+\beta _{2})q^{4}+\beta _{13}q^{5}+\cdots\)