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

Results (7 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	13
676.6.a.a	$676$	$6$	676.a	1.a	$1$	$1$	$1$	$108.419$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-12\)	\(-54\)	\(88\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-12q^{3}-54q^{5}+88q^{7}-99q^{9}+\cdots\)
676.6.a.b	$676$	$6$	676.a	1.a	$1$	$1$	$1$	$108.419$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-5\)	\(3\)	\(-53\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}+3q^{5}-53q^{7}-218q^{9}+702q^{11}+\cdots\)
676.6.a.c	$676$	$6$	676.a	1.a	$1$	$1$	$1$	$108.419$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(17\)	\(91\)	\(233\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+17q^{3}+91q^{5}+233q^{7}+46q^{9}+\cdots\)
676.6.a.d	$676$	$6$	676.a	1.a	$1$	$3$	$3$	$108.419$	3.3.203961.1	None	✓	$1$	$0$	\(0\)	\(12\)	\(-8\)	\(-138\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(5+2\beta _{1}-\beta _{2})q^{3}+(-6-5\beta _{1}+5\beta _{2})q^{5}+\cdots\)
676.6.a.f	$676$	$6$	676.a	1.a	$1$	$6$	$6$	$108.419$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(9\)	\(-11\)	\(-7\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(-2-\beta _{3})q^{5}+(-2\beta _{1}+\cdots)q^{7}+\cdots\)
676.6.a.g	$676$	$6$	676.a	1.a	$1$	$6$	$6$	$108.419$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(9\)	\(11\)	\(7\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(2+\beta _{3})q^{5}+(2\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
676.6.a.j	$676$	$6$	676.a	1.a	$1$	$15$	$15$	$108.419$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-12\)	\(132\)	\(-21\)		$-$	$+$	$-$	$2^{12}\cdot 13^{7}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(9+\beta _{2}+\beta _{3})q^{5}+\cdots\)