Newform search results

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

Results (9 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	5
2025.2.a.a	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+5q^{11}-4q^{13}-4q^{16}+\cdots\)
2025.2.a.b	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+3q^{7}+3q^{8}-2q^{11}+\cdots\)
2025.2.a.c	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-2q^{7}-3q^{11}+4q^{13}+4q^{16}+\cdots\)
2025.2.a.d	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-2q^{7}+3q^{11}+4q^{13}+4q^{16}+\cdots\)
2025.2.a.f	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-5q^{11}-4q^{13}-4q^{16}+\cdots\)
2025.2.a.h	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-5\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{4}+(-2-\beta )q^{7}-3q^{8}+\cdots\)
2025.2.a.k	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-5\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{4}+(-2-\beta )q^{7}+3q^{8}+\cdots\)
2025.2.a.n	$2025$	$2$	2025.a	1.a	$1$	$3$	$3$	$16.170$	3.3.564.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(-5\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-2+\beta _{1})q^{7}+\cdots\)
2025.2.a.q	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	4.4.11661.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)