Newform search results

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

Results (7 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	5	19
7600.2.a.v	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(-6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(-3-\beta )q^{7}-2\beta q^{9}+\cdots\)
7600.2.a.bg	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(3-\beta )q^{7}+2\beta q^{9}-\beta q^{11}+\cdots\)
7600.2.a.bn	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(1-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
7600.2.a.by	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1-\beta _{1})q^{7}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.cb	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}-\beta _{2})q^{3}+(1-\beta _{1}+2\beta _{2})q^{7}+\cdots\)
7600.2.a.ce	$7600$	$2$	7600.a	1.a	$1$	$4$	$4$	$60.686$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots\)
7600.2.a.ck	$7600$	$2$	7600.a	1.a	$1$	$6$	$6$	$60.686$	6.6.66064384.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{3}+(-\beta _{2}-\beta _{5})q^{7}+(3+\beta _{1}+\cdots)q^{9}+\cdots\)