Newform search results

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

Results (17 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
9075.2.a.b	$9075$	$2$	9075.a	1.a	$1$	$1$	$1$	$72.464$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{7}+q^{9}+\cdots\)
9075.2.a.g	$9075$	$2$	9075.a	1.a	$1$	$1$	$1$	$72.464$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-q^{6}+3q^{8}+q^{9}+\cdots\)
9075.2.a.q	$9075$	$2$	9075.a	1.a	$1$	$1$	$1$	$72.464$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(0\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}+q^{6}+4q^{7}-3q^{8}+\cdots\)
9075.2.a.s	$9075$	$2$	9075.a	1.a	$1$	$1$	$1$	$72.464$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(1\)	\(0\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}+2q^{6}-3q^{7}+\cdots\)
9075.2.a.t	$9075$	$2$	9075.a	1.a	$1$	$1$	$1$	$72.464$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}+2q^{6}-q^{7}+q^{9}+\cdots\)
9075.2.a.u	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-3\)	\(2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+q^{3}+3\beta q^{4}+(-1+\cdots)q^{6}+\cdots\)
9075.2.a.v	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(2\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
9075.2.a.w	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots\)
9075.2.a.bb	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(0\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bc	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(0\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bd	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.be	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.bw	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(2\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.bx	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.df	$9075$	$2$	9075.a	1.a	$1$	$4$	$4$	$72.464$	\(\Q(\zeta_{15})^+\)	None	✓	$1$	$1$	\(1\)	\(4\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{2}-\beta _{3})q^{2}+q^{3}+\beta _{1}q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots\)
9075.2.a.dg	$9075$	$2$	9075.a	1.a	$1$	$4$	$4$	$72.464$	4.4.5725.1	None	✓	$1$	$1$	\(1\)	\(4\)	\(0\)	\(-8\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{2}+q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots\)
9075.2.a.dh	$9075$	$2$	9075.a	1.a	$1$	$4$	$4$	$72.464$	4.4.5725.1	None	✓	$1$	$1$	\(1\)	\(4\)	\(0\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{2}+q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots\)