Newform search results

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

Results (15 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
9216.2.a.d	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-2q^{7}+\beta q^{11}-\beta q^{13}-2q^{17}+\cdots\)
9216.2.a.h	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-2\beta q^{7}+3\beta q^{13}-4q^{17}+\cdots\)
9216.2.a.i	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+2\beta q^{7}+3\beta q^{13}-4q^{17}+\cdots\)
9216.2.a.o	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{7}+\beta q^{13}+6q^{17}+6q^{19}+6\beta q^{23}+\cdots\)
9216.2.a.p	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-1}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+\beta q^{5}+5\beta q^{13}+8q^{17}-3q^{25}+\cdots\)
9216.2.a.q	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{5}-3\beta q^{7}+4q^{11}-3\beta q^{13}+\cdots\)
9216.2.a.y	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	4.4.4352.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{5}+(1+\beta _{2})q^{7}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots\)
9216.2.a.ba	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{16})^+\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-\beta _{2}-\beta _{3})q^{5}+(-2+\beta _{3})q^{7}+(\beta _{1}+\cdots)q^{11}+\cdots\)
9216.2.a.bc	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2})q^{5}+\beta _{2}q^{7}+(-2+\beta _{3})q^{11}+\cdots\)
9216.2.a.bd	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+(-2+\beta _{3})q^{11}+\cdots\)
9216.2.a.bj	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(2+\beta _{3})q^{11}+\cdots\)
9216.2.a.bk	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{5}+(\beta _{2}+\beta _{3})q^{7}+(3+\beta _{1})q^{11}+\cdots\)
9216.2.a.bm	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{16})^+\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-\beta _{2}-\beta _{3})q^{5}+(2-\beta _{3})q^{7}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
9216.2.a.bo	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	4.4.4352.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{5}+(1+\beta _{2})q^{7}+(-\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots\)
9216.2.a.bp	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{16})^+\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(8\)	\(0\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2-\beta _{2})q^{5}+(\beta _{1}+\beta _{3})q^{7}+(2\beta _{1}-\beta _{3})q^{11}+\cdots\)