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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	43
1075.6.a.b	$1075$	$6$	1075.a	1.a	$1$	$10$	$10$	$172.413$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-8\)	\(-28\)	\(0\)	\(-60\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-3-\beta _{6})q^{3}+(21+\cdots)q^{4}+\cdots\)
1075.6.a.c	$1075$	$6$	1075.a	1.a	$1$	$13$	$13$	$172.413$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(7\)	\(16\)	\(0\)	\(372\)		$+$	$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1+\beta _{3})q^{3}+(9+\beta _{2}+\cdots)q^{4}+\cdots\)
1075.6.a.e	$1075$	$6$	1075.a	1.a	$1$	$20$	$20$	$172.413$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(-16\)	\(0\)	\(-372\)		$+$	$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{4})q^{3}+(17+\beta _{1}+\cdots)q^{4}+\cdots\)
1075.6.a.h	$1075$	$6$	1075.a	1.a	$1$	$33$	$33$	$172.413$		None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$		$\mathrm{SU}(2)$