Newform search results

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

Results (3 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	11
495.4.a.e	$495$	$4$	495.a	1.a	$1$	$2$	$2$	$29.206$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(7\)	\(0\)	\(-10\)	\(-25\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(4-\beta )q^{2}+(12-7\beta )q^{4}-5q^{5}+(-8+\cdots)q^{7}+\cdots\)
495.4.a.g	$495$	$4$	495.a	1.a	$1$	$3$	$3$	$29.206$	3.3.788.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-15\)	\(-16\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(-2-\beta _{1})q^{4}-5q^{5}+(-3+\cdots)q^{7}+\cdots\)
495.4.a.m	$495$	$4$	495.a	1.a	$1$	$4$	$4$	$29.206$	4.4.1540841.1	None	✓	$1$	$0$	\(-4\)	\(0\)	\(-20\)	\(34\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(7-\beta _{1}+\beta _{3})q^{4}+\cdots\)