Newform search results

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

Results (5 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	3	7
5292.2.a.d	$5292$	$2$	5292.a	1.a	$1$	$1$	$1$	$42.257$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-7q^{13}+8q^{19}-5q^{25}+11q^{31}+\cdots\)
5292.2.a.g	$5292$	$2$	5292.a	1.a	$1$	$1$	$1$	$42.257$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+2q^{13}-q^{19}-5q^{25}-7q^{31}-10q^{37}+\cdots\)
5292.2.a.u	$5292$	$2$	5292.a	1.a	$1$	$3$	$3$	$42.257$	3.3.321.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+(-2+\beta _{1})q^{11}+(-1-\beta _{2})q^{13}+\cdots\)
5292.2.a.y	$5292$	$2$	5292.a	1.a	$1$	$4$	$4$	$42.257$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{5}+(-\beta _{1}-\beta _{2})q^{11}+3\beta _{1}q^{13}+\cdots\)
5292.2.a.z	$5292$	$2$	5292.a	1.a	$1$	$4$	$4$	$42.257$	4.4.7168.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{5}+(2\beta _{1}+\beta _{3})q^{11}+(-3\beta _{1}+\cdots)q^{17}+\cdots\)