Newform search results

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

Results (10 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	3	13
8112.2.a.d	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-4q^{7}+q^{9}+6q^{11}+\cdots\)
8112.2.a.g	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{15}+\cdots\)
8112.2.a.j	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-2q^{7}+q^{9}-2q^{15}+\cdots\)
8112.2.a.l	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}+4q^{7}+q^{9}-6q^{11}+\cdots\)
8112.2.a.bj	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-4\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-2+\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
8112.2.a.bp	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(4\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(2+\beta )q^{5}+(1+\beta )q^{7}+q^{9}+\cdots\)
8112.2.a.by	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-4\)	\(10\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{1})q^{5}+(3+\beta _{1})q^{7}+\cdots\)
8112.2.a.bz	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-3\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{1}-\beta _{2})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.ca	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(-2-\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.cr	$8112$	$2$	8112.a	1.a	$1$	$4$	$4$	$64.775$	\(\Q(\sqrt{3}, \sqrt{43})\)	None	✓	$2$	$1$	\(0\)	\(-4\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+q^{9}+\cdots\)