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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11
9075.2.a.i	$9075$	$2$	9075.a	1.a	$1$	$1$	$1$	$72.464$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-q^{7}+q^{9}+2q^{12}-q^{13}+\cdots\)
9075.2.a.j	$9075$	$2$	9075.a	1.a	$1$	$1$	$1$	$72.464$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-q^{7}+q^{9}+2q^{12}+2q^{13}+\cdots\)
9075.2.a.k	$9075$	$2$	9075.a	1.a	$1$	$1$	$1$	$72.464$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+q^{7}+q^{9}+2q^{12}-2q^{13}+\cdots\)
9075.2.a.bh	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}+2q^{7}-\beta q^{8}+\cdots\)
9075.2.a.bv	$9075$	$2$	9075.a	1.a	$1$	$2$	$2$	$72.464$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(0\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.ce	$9075$	$2$	9075.a	1.a	$1$	$3$	$3$	$72.464$	3.3.469.1	None	✓	$1$	$0$	\(-1\)	\(-3\)	\(0\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.cf	$9075$	$2$	9075.a	1.a	$1$	$3$	$3$	$72.464$	3.3.148.1	None	✓	$1$	$0$	\(-1\)	\(-3\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.ci	$9075$	$2$	9075.a	1.a	$1$	$3$	$3$	$72.464$	3.3.469.1	None	✓	$1$	$0$	\(1\)	\(-3\)	\(0\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.cj	$9075$	$2$	9075.a	1.a	$1$	$3$	$3$	$72.464$	3.3.568.1	None	✓	$1$	$0$	\(2\)	\(-3\)	\(0\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-q^{3}+(3+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
9075.2.a.cm	$9075$	$2$	9075.a	1.a	$1$	$4$	$4$	$72.464$	4.4.725.1	None	✓	$1$	$0$	\(-3\)	\(-4\)	\(0\)	\(-6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-q^{3}+(-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
9075.2.a.dj	$9075$	$2$	9075.a	1.a	$1$	$4$	$4$	$72.464$	4.4.725.1	None	✓	$1$	$0$	\(5\)	\(-4\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1}-\beta _{2})q^{2}-q^{3}+(3-\beta _{1}-2\beta _{2}+\cdots)q^{4}+\cdots\)
9075.2.a.dk	$9075$	$2$	9075.a	1.a	$1$	$5$	$5$	$72.464$	5.5.9444552.1	None	✓	$1$	$0$	\(-1\)	\(-5\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.dm	$9075$	$2$	9075.a	1.a	$1$	$5$	$5$	$72.464$	5.5.9444552.1	None	✓	$1$	$0$	\(1\)	\(-5\)	\(0\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.dt	$9075$	$2$	9075.a	1.a	$1$	$8$	$8$	$72.464$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(-8\)	\(0\)	\(-8\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)