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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	11
4235.2.a.e	$4235$	$2$	4235.a	1.a	$1$	$1$	$1$	$33.817$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-2\)	\(1\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}-q^{4}+q^{5}-2q^{6}-q^{7}+\cdots\)
4235.2.a.n	$4235$	$2$	4235.a	1.a	$1$	$2$	$2$	$33.817$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(1\)	\(2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}-q^{4}+q^{5}+\beta q^{6}-q^{7}+\cdots\)
4235.2.a.o	$4235$	$2$	4235.a	1.a	$1$	$3$	$3$	$33.817$	3.3.148.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(3\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
4235.2.a.t	$4235$	$2$	4235.a	1.a	$1$	$4$	$4$	$33.817$	4.4.725.1	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(4\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{2})q^{2}+(-1-\beta _{1}+\beta _{3})q^{3}+\cdots\)
4235.2.a.z	$4235$	$2$	4235.a	1.a	$1$	$5$	$5$	$33.817$	5.5.270017.1	None	✓	$1$	$1$	\(-2\)	\(2\)	\(5\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+\beta _{1}q^{3}+(1+\beta _{4})q^{4}+q^{5}+\cdots\)
4235.2.a.bc	$4235$	$2$	4235.a	1.a	$1$	$5$	$5$	$33.817$	5.5.288385.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(5\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)