Newform search results

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

Results (4 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	5	23
1840.2.a.f	$1840$	$2$	1840.a	1.a	$1$	$1$	$1$	$14.692$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-q^{7}-3q^{9}+6q^{11}-2q^{13}+\cdots\)
1840.2.a.i	$1840$	$2$	1840.a	1.a	$1$	$1$	$1$	$14.692$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(1\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+q^{5}+2q^{7}+6q^{9}+q^{13}+\cdots\)
1840.2.a.k	$1840$	$2$	1840.a	1.a	$1$	$2$	$2$	$14.692$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}-2\beta q^{7}+(1+\beta )q^{9}+4q^{11}+\cdots\)
1840.2.a.s	$1840$	$2$	1840.a	1.a	$1$	$3$	$3$	$14.692$	3.3.2597.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(3\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}+(-1+\beta _{1})q^{7}+(3+\beta _{2})q^{9}+\cdots\)