Newform search results

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	11
605.6.a.a	$605$	$6$	605.a	1.a	$1$	$1$	$1$	$97.032$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(25\)	\(-192\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-4q^{3}-28q^{4}+5^{2}q^{5}+8q^{6}+\cdots\)
605.6.a.b	$605$	$6$	605.a	1.a	$1$	$3$	$3$	$97.032$	3.3.21865.1	None	✓	$1$	$1$	\(7\)	\(-36\)	\(75\)	\(102\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta _{2})q^{2}+(-11-3\beta _{1})q^{3}+(12+\cdots)q^{4}+\cdots\)
605.6.a.d	$605$	$6$	605.a	1.a	$1$	$5$	$5$	$97.032$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-9\)	\(0\)	\(125\)	\(-70\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{2}+(\beta _{1}-\beta _{3})q^{3}+(24+\cdots)q^{4}+\cdots\)
605.6.a.f	$605$	$6$	605.a	1.a	$1$	$7$	$7$	$97.032$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-27\)	\(175\)	\(-133\)		$-$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-4-\beta _{3})q^{3}+(15+\beta _{2}+\cdots)q^{4}+\cdots\)
605.6.a.g	$605$	$6$	605.a	1.a	$1$	$7$	$7$	$97.032$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-27\)	\(175\)	\(133\)		$-$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(-4-\beta _{3})q^{3}+(15+\beta _{2}+\cdots)q^{4}+\cdots\)
605.6.a.n	$605$	$6$	605.a	1.a	$1$	$20$	$20$	$97.032$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-17\)	\(22\)	\(500\)	\(-559\)		$-$	$-$	$+$	$2^{4}\cdot 5\cdot 11^{8}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(1-\beta _{3})q^{3}+(13-\beta _{1}+\cdots)q^{4}+\cdots\)