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	7	17
6069.2.a.c	$6069$	$2$	6069.a	1.a	$1$	$1$	$1$	$48.461$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+5q^{11}+\cdots\)
6069.2.a.s	$6069$	$2$	6069.a	1.a	$1$	$4$	$4$	$48.461$	4.4.7232.1	None	✓	$1$	$0$	\(2\)	\(4\)	\(2\)	\(-4\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+q^{3}+(1-\beta _{2}-\beta _{3})q^{4}-\beta _{1}q^{5}+\cdots\)
6069.2.a.u	$6069$	$2$	6069.a	1.a	$1$	$5$	$5$	$48.461$	5.5.1669781.1	None	✓	$1$	$0$	\(-1\)	\(5\)	\(4\)	\(-5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
6069.2.a.w	$6069$	$2$	6069.a	1.a	$1$	$5$	$5$	$48.461$	5.5.1502576.1	None	✓	$1$	$0$	\(0\)	\(5\)	\(-3\)	\(-5\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
6069.2.a.be	$6069$	$2$	6069.a	1.a	$1$	$10$	$10$	$48.461$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(10\)	\(-6\)	\(-10\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
6069.2.a.bh	$6069$	$2$	6069.a	1.a	$1$	$15$	$15$	$48.461$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(15\)	\(9\)	\(-15\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{13}+\cdots)q^{5}+\cdots\)