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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	23
5175.2.a.b	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+5q^{7}+2q^{11}+6q^{13}+\cdots\)
5175.2.a.c	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-4q^{7}+3q^{8}+4q^{11}+\cdots\)
5175.2.a.d	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-3q^{7}+3q^{8}-5q^{11}+\cdots\)
5175.2.a.i	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+5q^{7}+3q^{8}-5q^{11}+\cdots\)
5175.2.a.m	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+q^{7}+6q^{11}-5q^{13}+4q^{16}+\cdots\)
5175.2.a.q	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{7}-3q^{8}-4q^{11}+\cdots\)
5175.2.a.v	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{7}-3q^{8}-4q^{11}+\cdots\)
5175.2.a.x	$5175$	$2$	5175.a	1.a	$1$	$1$	$1$	$41.323$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-3q^{7}-2q^{11}+2q^{13}+\cdots\)
5175.2.a.bb	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+3\beta q^{4}+(2-2\beta )q^{7}+\cdots\)
5175.2.a.bg	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(3+\beta )q^{4}+(1-\beta )q^{7}+(-5+\cdots)q^{8}+\cdots\)
5175.2.a.bj	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+2\beta )q^{7}-2\beta q^{8}+(4+\beta )q^{11}+\cdots\)
5175.2.a.bl	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+4q^{4}+q^{7}+2\beta q^{8}+\beta q^{11}+\cdots\)
5175.2.a.bp	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3\beta q^{4}-\beta q^{7}+(1+4\beta )q^{8}+\cdots\)
5175.2.a.bx	$5175$	$2$	5175.a	1.a	$1$	$4$	$4$	$41.323$	4.4.15317.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
5175.2.a.cb	$5175$	$2$	5175.a	1.a	$1$	$7$	$7$	$41.323$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{1}+\beta _{4}+\beta _{6})q^{7}+\cdots\)