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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	47
6909.2.a.b	$6909$	$2$	6909.a	1.a	$1$	$1$	$1$	$55.169$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}+3q^{8}+\cdots\)
6909.2.a.j	$6909$	$2$	6909.a	1.a	$1$	$1$	$1$	$55.169$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-1\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}-4q^{5}-2q^{6}+\cdots\)
6909.2.a.k	$6909$	$2$	6909.a	1.a	$1$	$1$	$1$	$55.169$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}+q^{9}+\cdots\)
6909.2.a.r	$6909$	$2$	6909.a	1.a	$1$	$4$	$4$	$55.169$	4.4.2777.1	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(7\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{2}-q^{3}+(-\beta _{2}+\beta _{3})q^{4}+(2+\cdots)q^{5}+\cdots\)
6909.2.a.t	$6909$	$2$	6909.a	1.a	$1$	$5$	$5$	$55.169$	5.5.486337.1	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
6909.2.a.w	$6909$	$2$	6909.a	1.a	$1$	$10$	$10$	$55.169$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(-10\)	\(6\)	\(0\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{7}+\cdots)q^{5}+\cdots\)
6909.2.a.be	$6909$	$2$	6909.a	1.a	$1$	$15$	$15$	$55.169$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(-15\)	\(-7\)	\(0\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{8}q^{5}+\cdots\)