Newform search results

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

Results (6 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	11
825.4.a.b	$825$	$4$	825.a	1.a	$1$	$1$	$1$	$48.677$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(3\)	\(0\)	\(21\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+3q^{3}+8q^{4}-12q^{6}+21q^{7}+\cdots\)
825.4.a.f	$825$	$4$	825.a	1.a	$1$	$1$	$1$	$48.677$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(0\)	\(26\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}-7q^{4}+3q^{6}+26q^{7}+\cdots\)
825.4.a.g	$825$	$4$	825.a	1.a	$1$	$1$	$1$	$48.677$	\(\Q\)	None	✓	$1$	$0$	\(3\)	\(3\)	\(0\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+3q^{3}+q^{4}+9q^{6}+7q^{7}+\cdots\)
825.4.a.p	$825$	$4$	825.a	1.a	$1$	$3$	$3$	$48.677$	3.3.1957.1	None	✓	$1$	$0$	\(-1\)	\(9\)	\(0\)	\(-6\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{1}+2\beta _{2})q^{4}+\cdots\)
825.4.a.s	$825$	$4$	825.a	1.a	$1$	$3$	$3$	$48.677$	3.3.23612.1	None	✓	$1$	$0$	\(4\)	\(9\)	\(0\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+3q^{3}+(7+\beta _{1}+\beta _{2})q^{4}+\cdots\)
825.4.a.z	$825$	$4$	825.a	1.a	$1$	$5$	$5$	$48.677$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(15\)	\(0\)	\(-38\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+3q^{3}+(9-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)