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	13
7605.2.a.f	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-1\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-q^{5}+4q^{7}+3q^{8}+q^{10}+\cdots\)
7605.2.a.k	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{5}+q^{7}+6q^{11}+4q^{16}+\cdots\)
7605.2.a.s	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-1\)	\(-5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{5}-5q^{7}-2q^{10}+\cdots\)
7605.2.a.t	$7605$	$2$	7605.a	1.a	$1$	$1$	$1$	$60.726$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-1\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{5}+q^{7}-2q^{10}+\cdots\)
7605.2.a.ba	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-1+\beta )q^{4}-q^{5}+(3-2\beta )q^{7}+\cdots\)
7605.2.a.bb	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-2\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}-3q^{8}+\cdots\)
7605.2.a.be	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-q^{5}-2q^{7}-\beta q^{8}-\beta q^{10}+\cdots\)
7605.2.a.bj	$7605$	$2$	7605.a	1.a	$1$	$2$	$2$	$60.726$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+\beta q^{7}+\cdots\)
7605.2.a.bo	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-3\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.bt	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(1-\beta _{1}-\beta _{2})q^{4}-q^{5}+(1+\cdots)q^{7}+\cdots\)
7605.2.a.bv	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.756.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
7605.2.a.bx	$7605$	$2$	7605.a	1.a	$1$	$3$	$3$	$60.726$	3.3.316.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(-1\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(3+\beta _{2})q^{4}-q^{5}+\beta _{2}q^{7}+\cdots\)
7605.2.a.cp	$7605$	$2$	7605.a	1.a	$1$	$9$	$9$	$60.726$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(-9\)	\(7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{6})q^{2}+(2-\beta _{3}-\beta _{6}+\beta _{7}+\cdots)q^{4}+\cdots\)
7605.2.a.cq	$7605$	$2$	7605.a	1.a	$1$	$9$	$9$	$60.726$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-9\)	\(-10\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{7}q^{2}+(1+\beta _{1}-\beta _{3}+\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots\)