Newform search results

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

Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Minimal twist	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	7	53
5194.2.a.bg	$5194$	$2$	5194.a	1.a	$1$	$3$	$3$	$41.474$	3.3.316.1	None	✓		742.2.a.l	$1$	$0$	\(3\)	\(4\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta _{1})q^{3}+q^{4}+(2-\beta _{1})q^{5}+\cdots\)
5194.2.a.br	$5194$	$2$	5194.a	1.a	$1$	$6$	$6$	$41.474$	6.6.111663536.1	None	✓		742.2.a.m	$1$	$0$	\(6\)	\(-2\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots\)
5194.2.a.bx	$5194$	$2$	5194.a	1.a	$1$	$9$	$9$	$41.474$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓		742.2.e.i	$1$	$0$	\(9\)	\(2\)	\(9\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
5194.2.a.by	$5194$	$2$	5194.a	1.a	$1$	$10$	$10$	$41.474$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	✓	5194.2.a.by	$2$	$0$	\(10\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{4}q^{5}+\beta _{1}q^{6}+\cdots\)