Newform search results

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

Results (5 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	23
4025.2.a.b	$4025$	$2$	4025.a	1.a	$1$	$1$	$1$	$32.140$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}-2q^{9}+\cdots\)
4025.2.a.i	$4025$	$2$	4025.a	1.a	$1$	$2$	$2$	$32.140$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(2\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
4025.2.a.k	$4025$	$2$	4025.a	1.a	$1$	$3$	$3$	$32.140$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(-1+\beta _{1}-2\beta _{2})q^{3}+\cdots\)
4025.2.a.l	$4025$	$2$	4025.a	1.a	$1$	$4$	$4$	$32.140$	4.4.2777.1	None	✓	$1$	$1$	\(-3\)	\(-6\)	\(0\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1-\beta _{3})q^{3}+(1+\cdots)q^{4}+\cdots\)
4025.2.a.s	$4025$	$2$	4025.a	1.a	$1$	$8$	$8$	$32.140$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-2\)	\(0\)	\(8\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{6}+\cdots)q^{6}+\cdots\)