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

Results (displaying both 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	7
2205.4.a.cf	$2205$	$4$	2205.a	1.a	$1$	$8$	$8$	$130.099$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(-40\)	\(0\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(6-\beta _{1}+\beta _{2})q^{4}-5q^{5}+\cdots\)
2205.4.a.ch	$2205$	$4$	2205.a	1.a	$1$	$12$	$12$	$130.099$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-60\)	\(0\)		$+$	$+$	$+$	$+$	$2^{7}\cdot 3^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-5q^{5}+(-\beta _{7}+\cdots)q^{8}+\cdots\)