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	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	13
5265.2.a.c	$5265$	$2$	5265.a	1.a	$1$	$1$	$1$	$42.041$	\(\Q\)	None	✓	$1$	$2$	\(-2\)	\(0\)	\(1\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-4q^{7}-2q^{10}+\cdots\)
5265.2.a.x	$5265$	$2$	5265.a	1.a	$1$	$6$	$6$	$42.041$	6.6.585163476.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(6\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+(1+\cdots)q^{7}+\cdots\)
5265.2.a.z	$5265$	$2$	5265.a	1.a	$1$	$7$	$7$	$42.041$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(7\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1+\beta _{4}+\cdots)q^{7}+\cdots\)
5265.2.a.bg	$5265$	$2$	5265.a	1.a	$1$	$13$	$13$	$42.041$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(13\)	\(10\)		$+$	$-$	$+$	$-$	$3^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(1-\beta _{5}+\cdots)q^{7}+\cdots\)