Newform search results

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

Results (14 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	11
9680.2.a.b	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+q^{9}-6q^{13}+2q^{15}+\cdots\)
9680.2.a.c	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+q^{9}+6q^{13}+2q^{15}+\cdots\)
9680.2.a.m	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-4q^{7}-3q^{9}+4q^{13}-4q^{17}+\cdots\)
9680.2.a.p	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+4q^{7}-3q^{9}-4q^{13}+4q^{17}+\cdots\)
9680.2.a.bc	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-1\)	\(-5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{5}-5q^{7}+6q^{9}-4q^{13}+\cdots\)
9680.2.a.bd	$9680$	$2$	9680.a	1.a	$1$	$1$	$1$	$77.295$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-1\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-q^{5}+5q^{7}+6q^{9}+4q^{13}+\cdots\)
9680.2.a.bh	$9680$	$2$	9680.a	1.a	$1$	$2$	$2$	$77.295$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2\beta q^{3}-q^{5}+(-1-\beta )q^{7}+(1+4\beta )q^{9}+\cdots\)
9680.2.a.bo	$9680$	$2$	9680.a	1.a	$1$	$2$	$2$	$77.295$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}+(-1-2\beta )q^{7}+(-2+\cdots)q^{13}+\cdots\)
9680.2.a.bp	$9680$	$2$	9680.a	1.a	$1$	$2$	$2$	$77.295$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}+(1+2\beta )q^{7}+(2+2\beta )q^{13}+\cdots\)
9680.2.a.bu	$9680$	$2$	9680.a	1.a	$1$	$2$	$2$	$77.295$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-\beta q^{7}-2q^{9}-2\beta q^{13}+\cdots\)
9680.2.a.bx	$9680$	$2$	9680.a	1.a	$1$	$2$	$2$	$77.295$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-q^{5}+(-1+3\beta )q^{9}+(4+\cdots)q^{13}+\cdots\)
9680.2.a.ck	$9680$	$2$	9680.a	1.a	$1$	$4$	$4$	$77.295$	4.4.5125.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-4\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{7}+\cdots\)
9680.2.a.cn	$9680$	$2$	9680.a	1.a	$1$	$4$	$4$	$77.295$	4.4.725.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{2}-\beta _{3})q^{3}-q^{5}+(2-\beta _{1}-2\beta _{2}+\cdots)q^{7}+\cdots\)
9680.2.a.cz	$9680$	$2$	9680.a	1.a	$1$	$6$	$6$	$77.295$	6.6.507624192.1	None	✓	$2$	$0$	\(0\)	\(2\)	\(-6\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}-q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(3+\cdots)q^{9}+\cdots\)